Hesi A2 Math

The number 8.4 is 15% of what number?

=56 Solve this as you would any other other problem of this sort Think 0.15x=8.4 8.4 divided by 0.15=56 Check by thinking : Doesit make sense that 15% of 56 would be aound 8?

Convert to a percent; 0.0087

Correct answer: 0.87% Explanation: Any time you are asked to change a number to a percent, simply multiply that numberr by 100 or find the decimal and move it two places to the right.

10,000/104

Correct answer: 1 Explanation: Use exponents to solve this rather than long division. 104/104= 10(4-4) = 100 =1

Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses. If she has $1,545 left after that, how much is her monthly paycheck? $2,175 $2,250 $2,575 $2,650

C. $2,575

. At the Farmer's Market, Kate bought 6 ears of corn for $.35 apiece. She paid with a $5 bill. How much change did she receive? $1.90 $2.10 $2.90 $3.90

C. $2.90

Subtract: 1.085 - 0.85 = 1.0 0.935 0.235 0.215

C. 0.235 (line up all decimal )

Express 48% as a fraction in lowest terms. 3/5 6/7 12/25 24/50

C. 12/25 move decimal to the left two units

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room? 45 feet 25 feet 15 feet 12 feet

C. 15 feet

What percent of 84 is 126? 102% 120% 150% 175%

C. 150% 126 x 100= 12,600 12,600 devided by 84 = 150

Sam tipped the cab driver $3.75 on a ride that cost $22. To the nearest percent, what size tip did he leave? 15% 16% 17% 18%

C. 17%

Divide and simplify: 45/8 / 11/2 = 41/24 323/24 31/12 31/16

C. 31/12

In one litter of kittens, there were 3 black kittens, 4 gray kittens, and 1 black-and-white kitten. What was the percentage of black kittens in the litter? 50% 48% 37.5% 28%

C. 37.5%

According to the diet clinic Angie was diagnosed as being 15 pounds overweight for her body size. If Angie weighs 150 pounds, what percentage her weight needs to be lost?

Correct answer: 10% Explanation: The question here is,,,,,, 15 pounds is what % of 150 or.... 15 = x 150,, so we divide both sides of the equation by 150 to get 30 percent. Did you remember to mulitply by 100 to get your perecent?

0.120

Correct answer: 12% Explanation: To convert any number to a percent, always multiply by 100, or remember to move the decimal point two places to the right. 12%

85% of all the students have B's. What is the percentage that do not have B's, if the total number of students is 160.

Correct answer: 15% Explanation: This is a trick question. All you have to know is that everything is out of 100%, so if 85% is given, the balance is simply 15%

50 is what percent of 300?

Correct answer: 17% Explanation: Again, here is our operating words, 50 is, or equals, what or x, percent of 300. so we have 50 = x (300),,, now divide both sides by 300 and reduce the fraction 50/300 and then multiply by 100 for a percent. 1/6 (100) = 16%

A census of the village showed a ratio of 2:13 born-and-bred villagers to more recent arrivals. Which of the following is a possible actual number of born-and-bred villagers and more recent arrivals? 32:200 50:320 56:365 64:416

D. 64:416

If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? 56oF 62oF 66.5oF 71.6oF

D. 71.6⁰F

If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?

$1.80

____ X =

10,000

Roman Numeral C = ____

100

1 meter = ____ centimeters

100 cm

__ C =

100,000

1 gram = ____ milligrams

1000

1 kilogram = ____ grams

1000

1 kilometer = ____ meters

1000

1 liter = ____ milliliters

1000

Roman Numeral M = ____

1000

2016

1000 = M 1000 = M 10 = X 6 = VI = MMXVI

1991 I'm Roman numerals

1000 = M 900 = CM 90 = XC 1 = I = MCMXCI

1 kg

1000 gm

1 metric ton

1000 kg

1 liter (L) =

1000 milliliters

1000

10:00am

2200

10:00pm

Beatrice purchased some dishes at the tag sale for $.75 apiece. If she paid with a $10 bill and received $1.75 in change, how many dishes did she purchase?

11 Beatrice received $1.75 in change from her $10 bill, so she spent $10 - $1.75, or $8.25. To find how many dishes she bought at $.75 apiece, divide $.75 into the amount she spent: $8.25/$.75 = 11

A recent census of visitors to popular beach showed that there was a ratio of 6:16 sufers to swimmers .Which of the following is a possible actual number of surfers and swimmers at the beach?

=210:560 You must the ratio taht is equivalent to 6:16. 60:160 would be equivalent , so this choice will be incorrevt 72:192 is equivalent, making it also incorrect 120:320 would be equivalent , and it is also incorrect Tje correct answer is 210:560 , multiplying both sides of the original ratio by 35 gives you 210:560

How many milimiters are there in 25 cm?

=250 One cm = 10 mm So 25cm x10mm= 250

Subtract and simplify 4/10 and 1/4

=3/20 Find the least common denominator and subtract : 8/20 -5/20 = 3/20

Hom many centimeters are there in 1 foot ?

=38.48 Since 1 inch equals 2.54 centimeters , 12 inches ( 1 foot) equals 2.54 x 12 , or 30.48 centimeters

At Jules's Grocery, Lena bought 6 apples for $5.70. How many did Sarah by for $3.80? 2 3 4 5

=4 devide 5.70 by 6 = 97 97 x4 =$3.80

(7 x 5) + (8 x 2) =

35 +16 =51

35% to fraction

35/100 = 7/20

0300

3:00am

1500

3:00pm

military time 1500 is

3:00pm, regular time (always subtract 12 when not beginning with 0; 15 - 12 = 3)

Convert this military time to regular time: 1530 hours. 3:03 P.M. 3:30 A.M. 3:30 P.M. 12:30 P.M.

3:30 P.M.

1 yard = ____ feet

3ft

Express 3.08 as a fraction in lowest terms.

3²/25

1 gallon = ____ quarts

4

Roman Numeral IV = ____

4

1 quart =

4 cups

1 gallon =

4 quarts

(8 ÷ 2) (12 ÷ 3) =

4 x 4 = 16

Roman Numeral XL =

40

Ron ran for 40 km. How many meters is that?

40,000m

What is 110% of 40?

44 110% is slightly more than 100 % solve by thinking 1.10x40=44

1 pound =

454 grams or .454 kilograms

0400

4:00am

1600

4:00pm

Roman Numeral V = ____

5

how many kilograms are there in 11 pounds?

5 killograms Since 2.2 pounds = 1 kilogram 11 pounds = 11/2.2 kilograms or 5 kilograms

how many miles are there in 8km? 1mi=1.6km

5 miles

1 mile = ____ feet

5,280

Roman Numeral L = ___

50

____ L =

50,000

Roman Numeral D = ____

500

__ D =

500,000

____ V =

5000

1 year = how many weeks

52 weeks (time)

subtract and simplify 2 11/12 - 3/16=

=2 35/48 To add and subtract fractions , first find the lcd and convert each fraction to an equivalent fraction with that denominator .Here are the lowest common denominator 48 2 44/48 -9/48=- 2 35/45

The number 4 is 20% of what number?

=20 Think of this as an equation :20/100(20/100)x=4If you reduce this in your head to (1/5)x=4 20% is the same as 1/5 , so you are looking at the number 5 times 4

176 is 88% of what number?

=200 Since 88 is 88% of 100, twice 88, or 176, must be 88% of 200

convert 100 Farenheit to Celcius

F= 9/5 x C + 32 100 F= 9/5 x C + 32 68= 9/5 x C 340= 9C 37.7 degrees celcius Subtract 32 from each side Multiply each side od the equation by 5 Divide each side of the equation by 9

LCD

the smallest multiple of a number that is shared by two numbers

What is 15 percent of 95? 14.25 18.5 24.25 28.5

14.25

1000 L

1kL

1 pint = ____ cups

2

1 quart = ____ pints

2

Leon bought 3 cookies for $.85 each, 2 cups of coffee for $1.49 each, and a newspaper for $1.75. He gave the cashier a $5 bill and three $1 bills. What is the greatest number of quarters he could have received as change?

2

devide and simplify 4 1/8 divided by 1 1/2

2 1/4 Beging by expressing the mixwd number as improper fration: 4 1/8= 33/8, and 1 1/2= 3/2 To devide by a fractrion , multiply by its reciprocal . Therefore, 33/8 divided by

concert 2 gallons to mL

2 gallons x 3.79 mL/ 1 gal x 1000/ 1 L=7,580 mL

Proportions

2 ratios that have equal value Ex: 5/12 = 25/60 Ex: 5:12::25:60

1 pound = ____ kilograms

2.2

How many liters are there in 2,500 mililiters?

2.5 liters 1,000 ml = 1 liter 2,500 mililiter =2.5 liters

1 inch = ____ centimeters

2.54 cm

1 ton = ____ pounds

2000

1 foot =

30.48 centimeters or 0.3048 meters

The length of a ruler is 30 cm. How many millimeters is that?

300mm

0 Degrees Celsius = ____ Degrees Fahrenheit

32

1 quart = ____ ounces

32

How many cups are there in 2 gallons?

32

0 celsius

32 fahrenheit

0' Celsius

32' Fahrenheit (the freezing point of water)

how many feet in 1 km

3280.84 ft

2007 in roman numeral

MMVII 2000=MM 7=VII

Roman Numeral example 2012

MMXII 2000 (MM) 12 (XII)

In class the ratio of males to females is 4:5. If there are 36 total students, how many females are in the class?

Males= 4 Females= 5 Total= 9 How many times does 9 go into 36? 4. so multiply 4 by each male, female, and total. male= 4*4= 16 female= 5*4= 20 total= 9*4= 36

Which numeric system was a base of 20

Mayan

decimal to percent

Move the decimal point to the right two places, [always 2 places right]. Add the percent sign behind the new number. (Example: 0.13 to a percent = 13% 0.002 to a percent = 0.2%)

percent to decimal

Move the decimal point two spaces away from the percent sign, [always 2 places left]. Drop the percent sign. When a decimal point is not visible, know that it is always located AFTER the last number in a whole number. (Example: 85.4% to a decimal = 0.854 75% [decimal not visible] to a decimal = 0.75)

dividing decimals

Move the decimal to the right in the divisor, making it a whole number. Move the decimal the same number of places in the dividend and bring to the top in the quotient, then divide normally. (Example: 34/2.5 is 340.0/25.)

How to convert Celsius to Fahrenheit?

Multiply Celsius by 1.8 & add 32. Ex. 30 Celsius * 1.8 + 32 = 86 Fahrenheit

multiplying decimals

Multiply as whole numbers, count decimal places in each number and add them together. Move the decimal place to the left this many places in the product. (Example: 0.002 x 3.4 or 2 x 34 = 68, plus four decimal places equals 0.0068)

Convert C to F

Multiply by 1.8 Add 32

In Downsville, a bus token cost 25¢ in 1990. This year, a bus token costs 75¢. What is the percent of increase in the cost of the token? A. 50% B. 75% C. 200% D. 300%

C First find the difference in price: 75¢ - 25¢ = 50¢. Then put the difference over the original price to find the percent change: , or 200%.

Carlotta earned 2% on her savings of $1,050. How much did she have then? $1,052 $1,060 $1,071 $1,075

C. $1,071

binomial times binomial

Remember foil: first, outer, inner, last. Combine like terms by adding/subtracting.

2/3

.666, 66.6%

3/4

.75 ,75%

4/5

.80, 80%

Frederica worked 7 hours on Monday and 6 1/2 hours each day from Tuesday through Friday. If she makes $10.45 an hour, what was her gross income for the week?

$345 First figure out how many hours she worked all week. 7 + 6.5 + 6.5 +6.5 + 6.5 =33 hours in all. Now multiply that by $10.45 per hour: $10.45 x33= $345.85 Then round to the nearest whole number to get $345

Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents apiece, and the plates were 75 cents apiece. If Stu paid with a $10 bill, how much change was he owed?

$4

Rosie made $239.98 this week working at the student union. She put half into savings to help pay her tuition and board and then spent $65 on a textbook. How much did Rosie have left from her paycheck? $54.99 $64.94 $87.49 $184.99

$54.99

Hesi hint percent formula

%/100=part/whole OF means number tha follows is the whole number: is/of=percent/100

What date in the Arabic numerals is Roman numerals MCLXV

(1165)Reading from left to right ,M=1000, C=100,L=50,and XV =15 Making the date 1165

At the emergency room Thursday morning , ambulance delivered 5 laceration victims, 8 people with broken bones, 2 heart attack patients, and 5 patients with breathing difficulties.What percentage of the deliveries were people with broken bones ?

(40) There were 5+8+2+5 deliveries in all, or 20 patients.8 out of 20=40 out of 100, so the percentage of people with broken bones was 40%

75% of 500 =

(500 x .75) = 375

Solve the proportion (Find value of x)

-Rewrite as fractions -Multiply diagonal #s -Divide answer by remaining # Ex: x:63::24:72 62•24 =1512 \ 72 = 21 x=21

How to convert Fahrenheit to Celsius?

-Subtract Fahrenheit & Multiply by .5556 Ex. (50 Fahrenheit - 32) * .5556 = 10 Celsius

1/8

.125 ,12.5%

1/5

.20 ,20%

1/4

.25 ,25%

1/3

.333 ,33.3%

3/8

.375 ,37.5%

1/2

.50, 50%

3/5

.60, 60%

Multiply: .012 * 0.15 = 0.0018 0.018 0.18 1.8

0.018 Multiply two numbers with two digits to the right of the decimal point should result in a product with four digits to the right of the decimal point. However , the final digit, 0, is dropped off.

Multiply: 0.4 * 0.05 = 2.0 0.2 0.02 0.002

0.02

How many liters are the in 500 mililiters?

0.5 mililiters One mililiters=0.001 liters, so 500 mililiters=0.5 liters

75% of what number is 18?

0.75x=18 x=18/0.75 x=24

eighty percent of the class passes with a 75 or higher.If that percent equaled 24 students how many students where in the whole class?

0.80x=24 x=24/0.80 x=30

1 yard =

0.914 meters

1 Quart =

0.946 liters

The trumpete blows reville at 6:30 am .What time does is in military time?

0630 this is the correct form four tims before noon

1 milliliter = ____ cubic centimeter

1

Roman Numeral I = ____

1

susbtract and simplify 7/4 -1/12 =

1 2/3 7/4= 21/12- 1/12=20/12 which is the same as 1 8/12 or 1 2/3

Instructions require you to dilute a powder in 3 quarts of water. You only have a container that is marked in liters. How many liters would you use to dilute the powder?

1 Quart = 32 oz Therefore, 3 Quarts = 96oz. There are 30 milliliters per oz., so 96 oz. = 2,880 milliliters There are 1000 milliliters per liter, so 2,880 mL = 2.88 Liters Or 1 Quart = 0.946 Liter *3= 2.838 = 2.88 L

express 1.25 as a fraction in lowest terms

1 and 25/100 or 1 and 1/4

10 mm

1 cm

10 meters

1 dekameter

100 centigrams

1 gm

1000 meters

1 km

10 decimeter

1 meter

How many liters are there in 500 mililiters?

1 mililiter= 0.0001 liters, 1 liter = 1000 mililiter so 500 mililiters = 0.5 liters

__ M =

1,000,000 1 million

The width of a tennis court is 11 m. How many centimeters is that?

1,100cm

1 mile = ____ yards

1,760

Change decimal to a fraction

1. Write the decimal as a fraction with 1 as the denominator and decimal as numerator. 2.Multiply top and bottom each by 10 for every number after the decimal point. If there are two decimal places multiply by 100 3.Reduce fraction completely.

how many quarts in 1 liter

1.06 L

1 galon

1.379 L

at the farmers market, james bought 6 lemons for $1.44. how many lemons did casey buy for $4.80?

1.44 divided by 6= 0.24 4.80 divided by 0.24 = 20

1 mile =

1.609 kilometers

1 mile equal how many km

1.61km

a landscaping plan is drawn on 1:50 scale. if a deck in the plan measures 12cm by 10cm, how large is the deck in real life?

1/50=10/x 50 x 10= 500cm but we want in meters so 1m= 100 cm so 500cm=5metes so 6m by 5m

Roman Numeral X = ____

10

1 centimeter (cm) = how many millimeters (mm)

10 millimeters (length)

Add and simplify: 1/2 + 1/4 + 1/6 = 11/24 11/12 3/4 5/6

11/12

What number in Arabic numerals i Roman numeral MCLXV? (Enter numeric value only.) ____________

1165 M=1000 C=100 L=50 XV=15

1100

11:00am

2300

11:00pm

military time 2300 is

11:00pm, regular time (subtract 12 when not beginning with 0; 23 - 12 = 11)

1 foot = ____ inches

12 in

. Of the 300 patients receiving a placebo, 60% showed improvement in their symptoms. How many patients showed no improvement?

120

1 gallon = ____ ounces

128

military time 1200 is

12:00 noon, regular time

0000

12:00am

military time 0000 is

12:00am, regular time

1200

12:00pm noon

Subtract 4/7 - 1/5 = 13/35 11/14 3/7 3/5

13/35

multiply and simplify 3 1/4 and 1/16

13/64 To multiply mixed number and fractions, first express mixed fractions as fractions. In this case ,3 1/4 may be expressed as 13/4.Next multiply numerators and denominators.13 x 1= 13 . 4 x 16= 64 . Then answer is 13/64

Olivia 's bakery gives out an extra cupcake for each dozen sold, to make a bakers dozen of all 13 in all .How many extra cupcakes does the bakery add to a special order ofn 180 cupcakes?

15 Start by determine how manu dozen are there in 180 180 devide by 12=15 the bakery must add 1 cupcake per dozen or 15 in all

1 pound = ____ ounces

16

How many quarts are there in 4 gallons (Enter numeric value only.) ________.

16

1 gallon = how many cups

16 cups

1 Pound =

16 fluid ounces

16 kg to pounds

16 kg x 2.2 lb/1 kg= 35.2 lb

1 pint = ____ ounces

16 ounces

1 pint

16 oz

Lulu is 5 years younger than her sister, who is 7 years older than their 5 year old cousin. How old is Lulu?

17 years old

Express 85% as a fraction in the lowest term

17/20 85%=85/100 devide by 5/5=17/20

Grayson left a $2.43 tip for a lunch that cost $13.50.What percent did he leave?

18%) To find the percent $2.43 is of $13.50,simply divide: $2.43 by $13.50. The answer is 0.18,or 18%

the 18 students who received an A in a math class made up 30% of the students in the class. find the total number of students in the class.

18/.30= x/.70 = 42 42 + 18 = 60 students

Ex: 18 is 50% of what number?

18/x = 50/100 18•100 = 1800 \ 50 = 36

In Juanita's nursing class, 15% of the students graduated from a two-year program. If there are 220 students in her class, how many did not graduate from a two-year program?

187

Example for Roman numeral

1969 = 100 -> M 900 -> CM 60 -> LX 9 -> IX = MCMLXIX

0100

1:00am

military time 0100 is

1:00am, regular time

1300

1:00pm

Of the 300 patients receiving a placebo , 63% showed improvement in their symptomps. How many patients showed no improvent ?

1=20 IF 60% showed improvement , 40% did not. 0.40 x 300= 120

100 Degrees Celsius = ____ Degrees Fahrenheit

212

100 celsius

212 fahrenheit

100' Celsius

212' Fahrenheit (the boiling point of water)

find the volume of a box 6in high, 6in wide, and 6in deep.

216 cubic in v= L x W x H

Express the ratio 13:60 as a percentage

22% Percentages are essentially ratios were the second number is 100. Divide 13 by 60 to find decimal equivalent : 13 devided by 60 to find a decimal equivalent. 13 devided by 60=0.21666666, which rounds to 22%

Express the ratio of 13:60 as a percentage

22% Percentages are essentially ratios where the second number is 100 Devided 13 by 60 to find a decimal equivalent 13 devided by 60= 0.2166666, which rounds to 22%

Which percent is closest to the ratio 7:3?

233% to convert a ratio to a percent, divide the numbers in the ratio (noting that its equivalent fraction is 7/3 to get approximately 2.33.

What is 120% of 20? 24 44 140 180

24

. On the lot at Stafford Motors are 7 pickup trucks, 7 two-door automobiles, 28 four-door automobiles, and 14 SUVs. What percentage on the lot are SUVs? (Enter numeric value only. If rounding is necessary, round to the whole number.)

25 You area asked to find the percentage of SUVs out of eh whole number of vehicles, so first you must addto find the number of vehicle in all:7 + 7+ +28 +14=56 14 is 1/4 of 56 , so the percentage of SUVs is 25%

convert 0.025 to a fraction in simplest form

25/1000 which is the same thing as 0.025 now just reduce 25/1000 common denominator is 25 so equals 1/40

How many millimeters are there in 25 centimeters? __________

250

27 in to ft

27 in x 1ft/12 in= 27/12=2.25 ft

how many grams in 1 ounce

28.3

1 ounce =

28.350 grams

1 fluid ounce =

29.574 milliliters

0200

2:00am

1400

2:00pm

convert 319% to a decimal

3.19

1 meter equals how many feet

3.28 ft

1 Gallon =

3.785 liters

On Monday, 3 students out of a class of 24 were absent from class. what percent of students were absent form class?

3/24 = 12.5

1 ounce = ____ milliliters

30

What is the common denominator of 1/6 and 1/15

30 The least common denominator is the least number into which both denominators devide. Finding the common multiples is the easiest way to find this number Factors of 6=6,12,18,24,30,36 Multiples of 15= 15,30,45,60,75 The leats multiple that both numbers have in comon is 30

How many milliliters are in 1 ounce?

30 mililiters

If a party planner assumes 2 bottles of sparkling water per 5 guests,how many bottles must she purchased for a party of 145?

58

If the outside temperature is 15 degrees on the Celcius scale , what is the apropriate temperature in the Celcius sclae?

59 F ⁰ Formula is =(9/5) C =32 (9/5)15=32=59

0500

5:00am

1700

5:00pm

If the temperature is 41o on the Fahrenheit scale, what is it on the Celsius scale?

5⁰

what is the reciprocal of 6?

6/1 = 1/6

Roman Numeral LX = ____

60

67 cm to mm

67mm x 1cm/10mm=67/10=6.7 cm

0600

6:00am

1800

6:00pm

Add and simplify 2/15 +1/12

=13/60 First , find the lowest common denominator. 2/15 x 4/4=8/60 1/12=5/5=5/60. 8/60 +5/60 =13 /60

If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?

71.6 F

Wally walks for 75,000 m. How many kilometers is that?

75km

0700

7:00am

1900

7:00pm

1 gallon = ____ pints

8

8 gal to pt

8 gal x 4qt/1gal x 2 pt/1qt=64

8 km to feet

8 km x 1 mile/1.61 km x 5280 ft/ 1 mile =26,236.02 ft

1 gallon =

8 pints

Divide 92 / 11 = 8 r3 8 r4 8 r7 9 r1

8 r4

reduce to lowest form 0.08

8/100 divide top and bottom each by 4 =2/25

Express 4/5 as a percent. 20% 40% 50% 80%

80%

0800

8:00am

2000

8:00pm

Hannah's hand span is 80 mm. How many centimeters is that?

8cm

Roman Numeral IX = ____

9

Which number is a factor of 36?

9

Roman numeral XC=

90

CM=

900

what number is 125% of 75?

93.75 1.25 x 75

96% of class passed with C or better. if 50 students in class, how many passed with C or better?

96% x 50= 48 students

2100

9:00pm

2120 hours

9:20 pm

In a scale drawing for a toy rocket , 1 in= 6 inches. If the rocketis 6 inches tall on the drawing , how tall is in reality?

= (1 yard) 1 inch is equivalent to 6 inches 6 inches is equivalent to 36 inches , or 1 yard

About how many kilometers are there in 12 miles? 7.5 13.2 19.2 22

=(19.2) if 1 mile equals 1.6 kilometers , 12 miles equals 1.6 x 12 =19.2 kilometers

A plam for a shed is drawn on a 1:10 scale. If the roof of the real shed measure 4 feet by 5 feet , what were the measurents on the plan?

=(4.8 in by 6 in) You an find the answer by setting up a proportion.First convert feet to inches : 4ft= 48 inches Then solve the proportion:1/10=x/48 so x=4.8 inches You do not even need to complete the proportionfor 45ft, or 60 inches

Add and simplify: 1/3 + 1/4 + 1/5 =

=(47/60) find lcd for each fraction then add

The number 8.4 is 15% of what number?

=(56) set up a proportion

A landscaping plan is drawn on a 1:50 scale. If a deck in the plan ,measures 12 cm by 10 cm, how large is the deck in real life?

=(6 m by 5 m) set up a proportion: 1/50=10/x = 500 cm Since 500 cm equals =5m

A landscaping palned was drawn on a scale 1:50 scale. If a deck in the plan measeures 12 cm by 10 cm, how long is the deck in real life?

=(6 m by 5 m) In real life the deck is 12 x 50 cm by 10 x 50cm, or 600 cm by 500 cm. Since there are 100 cm in a meter , you should be able to tell right away that the answer will be 6 m by 5 m

Subtract and simplify 5 1/4 - 3 5/6

=1 5/12 Express each fraction as an improper fraction: 2 1/4 -23/6 Then find the lowest common denominator and restate those fractions 126/24 -92/24. Solve and express as a mixed number in the lowest term: 34/24= 1 10/24=1 5/12

If a helicopter flies at about 80 mph , how long will it take to travel?

=1 hour and 45 minutes Think of this as a proportion: 1 hour/80 miles=x hours/140 miles. Cross multiply to solve:140= 80x ; x= 140/80. or 1.75 hours. which equals 1 hour and 45 minutes

1776 in Roman numeral

=1000=M 700=DCC 70=LXX 6=VI

Patient X usually ingests about 2,000 calories daily. If Patient X is placed on a regiment that cuts that daily intake by 20%, how many calories will Patient X consume in a week? (Enter a numeric value only) __________.

=11,200 multiply .20 by 2,000

Add and simplfy 5 2/3 + 6/7

=6 11/23 Express the mixed number as an improper fraction17/3 Then find the lowest common denominator and restate the two fractions : 119/21 + 18/21 solve and express as a mixed number in the lowesst term = 137/21= 6 11/21

15 is 20% of what numbwer?

=75 Think :0.20x=15 . Solve : for x= 15 devided by 0.20. The anser is 75

Express the ratio 6:7 as percent

=86% Think 6 devided by 7 =0.857142 and round to the nearest 100ths =86%

Add and simplify 4 2/3 + 6 1/2 a. 11 1/6 b. 10 1/3 c. 9 1/6 d. 9

A To add mixed numbers first expressed them as an improper fractions .In this case 42/3 may be expressed as 14/3 and 6 1/2 is 13/2. Next add the numerators 28 + 39 = 67. 67/6= 11 1/6

A package of 10 pencils is divided between every 2 students in class. If there are 20 students in class, then how many pencils are needed? 20 40 80 100

A. 100 each student gets 5 multiply that by 20=100

Express the ratio of 25:80 as a percentage. 31.25% 34% 41.25% 43.75%

A. 31.25%

The Myers have three sons. Jake is half as old as Tony, and Tony is 4 years younger that Quinn's age plus Jakes age. If Quinn is 10, how old is Jake? 6 8 12 16

A. 6

How many teaspoons are there in 3 tablespoons? 9 teaspoons 10.5 teaspoons 12 teaspoons 18 teaspoons

A. 9 teaspoons

Roman Numerals A letter placed after another of a greater value...

Adds Ex: XVI = 16

Rational Numbers

All real numbers that can be expressed as p/q where p and q are integers and q is non-zero

10^-3 ten to the negative 10th

Answer: 0.001 Explanation: The negative 3 indicates that the decimal is going to make the number smaller, so we move three places to the left.

Write 4% as a decimal.

Answer: 0.04 Explanation: 4% = 4/100 =0.04

Write 33 1/3% as a decimal.

Answer: 0.3333 Explanation: 33 is our whole number, so we won't be doing anything with it, however the fraction 1/3 needs to become a decimal. We can find the decimal by dividing 3 into 1 which goes 0.33 times. So our percentage is 33.33% which when divided by 100, or when we move the decimal place to the left two places we have.... 0.3333

70%

Answer: 0.70 Explanation: Percentages always indicate a part out of 100. Therefore 70% is the same thing as saying 70/100 = 0.70

Convert to a percent; 1.25

Answer: 125% Explanation: Move the decimal point two places to the right, which is the same as multiplying by 100. 125%

24,000,000/0.000012

Answer: 2 x 1012 Explanation: Powers of 10 for both numerator and denominator 24 x 106/12 x 10-6 24/12 = 2 10(6-(-6))=1012 2x1012

(0.000068)3

Answer: 3.14x10-13 Explanation: Simplify the expression in parentheses first; (68 x 10-6)3 When raising an exponent to any power, multiply that power to each of the items powers in parenthesis. 683x10-18 Any time that there is a negative exponent, it indicates that the item is in the denominator, and the exponent then becomes positive 683/1018

Write 5/8 as a percent

Answer: 62.5% Explanation: First turn this into a decimal by dividing 8 into 5.= 0.2, then multiply this by 100 = 20

Write 65 5/8 as a decimal.

Answer: 65.625 Explanation: A decimal is always a number smaller than one, so we can leave 65 as it is and just turn the fraction into a decimal., so our decimal becomes 65.625

Write 9/11 as a percent.

Answer: 82% Explanation: Divide 11 into 9 to get 0.818 and multiply this by 100 to get about 81% or 81.8%

At Teeburg Community College , the ratio of teachers to students is 1:12 Which could be the actual student and teacher population at Teeburg?

B) 85 teachers , 312 students The actual population must be an equivalent ratio to 1:12.In the case of choice B (1x85):(12x85)=85:1,020

Multiply: 0.6 * 0.06 = 0.0036 0.036 0.36 3.6

B. 0.036

Alex is tripling a recipe that calls for a pint of cream. How much cream should he buy to ensure that he has just enough? 1 quart 1 quart and 1 pint 2 quarts 1 half gallon

B. 1 quart and 1 pint

At Teeburg Community College, the ration of teachers to students is 1:12. Which could be the actual student to teacher population at Teeburg? 24 teachers, 312 students 85 teachers, 1,020 students 89 teachers, 979 students 92 teachers, 1,288 students

B. 85 teachers, 1,020 students

Of the 250 problems. Daniel got 235 correct. What grade did he receive? 92% 94% 96% 98%

B. 94% divide 235 by 250 to get 94

Devide and simplify 3 1/2 by 1 1/10

Beging by expressing the mixed numbers as improper fractions : 3 1/2 = 7/2, and 1 1/10 = 11/10= 7/2 x 10/11 , or 70/22. Now reduce tpmthe lowest terms:70/22 devided by 2/2. Finally express 35/11 as mixed number 3 2/11

In what numeric system does 101 name this amount: *****? Roman Arabic Decimal Binary

Binary There are 5 stars in our Arabic or decimal system if numbers. In the binary system , that would be 101 , where 1=1 four, 0=0 two's , and 1=1 one.

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room? a. 45 feet b. 25 feet c. 15 feet d. 12 feet

C Set up a proportion 1/40=4.5/x solve for x cross multiply x=4.5(40), or x=180'' inches Convert that to feet gets you 180/12 , or 15 ft

What is the decimal equation to convert Fahrenheit to Celsius?

C = F-32 x .5556 or F° minus 32 times 5/9 To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 from F° and multiply by . 5556 (or 5/9). Subtract Fahrenheit & Multiply by .5556 Ex. (50 Fahrenheit - 32) * .5556 = 10 Celsius

If a train travels 270 miles in 3 hours, how far will it travel in 4.5 hours? a. 300 miles b. 350 miles c. 405 miles d. 425 miles

C Set up this proportion 270/3=x/4.5. You may cross multiply to solve: 270x4.5 =3x. 1,215=3x. x=1,215/3, or 405.

15 is 20% of what number? a. 3 b. 45 c. 75 d. 300

C Think .20x=15. Solve: x=15÷.20

What is the decimal equation to convert Celsius to Fahrenheit?

C ° times 9/5 plus 32

Bai Lin estimates that of her monthly paycheck , she puts 10% in savings 30% on living expenses . If she has $1,545 left fter that , how much is her monthly paycheck?

C) $2,575 Thin,k Bai Lin uses 10% + 30% of some unknown total ,x, on savings and living expenses .She uses 40% ,so $ 1,545 must represent 60% of the total.Now you have enough information to set up the equation 60% of x=$1,545. 0.60x=$1,545. $1,545 divided by 0.60=x, so x=$2,575

Divide and simplify 4 5/8 by 1 1/2

C)3 1/12 Express the mixed numbers as improper fractions , and multiply the first by the reciprocal of the second.4 5/8=37/8. 1 1/2=3/2. 37/8 x2/3=74/24 Now reduce to lowest term and express the answer in mixed number. 74/24=37/12=3 1/12

change the fraction to a percent 5/9

Change the fraction into a division problem and solve .Move the decimal behind the hundredths place in the quotient. .Drop the percent sign after the new number. 55.5%

adding and subtracting fractions

Convert all fractions into numbers with common denominators by finding the LCD of each fraction. Once the denominators are the same, the numerators can be added or subtracted.

Your stock current costs is $34.56 dollars per share. At the closing of the Dow, your stock went up 1/8%. How much is your stock worth now?

Correct answer: $34.60 Explanation: 1/8% is equal to 0.125/100 = 0.00125, now if we mulitply this times the stock value, we get 0.00432 and then we add this to our stock amount =0.0423 + 34.56 = 34.60.

10-7/100

Correct answer: 0.0000001 Explanation: 10(-7-0) = 10-7 = 0.0000001

0.055%

Correct answer: 0.00055 Explanation: This is out of 100, so we can either perform long division of 0.055/100 or use the factor of 10 55x10-3(10-2) 55x10-5 0.00055 10-2=1/100

John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did John walk?

Correct answer: 2 and 7/16 of a mile Explanation: 1. 2 and 7/16 of a mile 2. 3 miles 3. 2.5 miles Solution; Take ¾ of 3 ¼. The word "of" means to multiply. ¾(3 ¼) ¾ (13/4) Numerator multiples numerator and denominator multiples denominator. 39/16 This is an improper fraction which needs to be made into a mixed numeral. John walked 2 and 7/16 of a mile

If 15% of all Americans are millionaires, how many Americans are not millionaires, if there are 245,000,000 Americans?

Correct answer: 208,250,000 Explanation: Remember 15% is the balance of 85%, which are the percentage of Americans that are not millionares. So just take 0.85 times the population. 280,250,000

Write 2 1/5 as a percent.

Correct answer: 220% Explanation: 2 and 1/5 in decimal form is 2.8, multiply this times 100 and we get 280%

Write 15% as a fraction.

Correct answer: 3/20 Explanation: A fraction is always out of 100, so take the percentage and divide it by 100,,,,, 15% = 15/100 reduces to 3/ 20 = 0.15

12 is what percent of 40?

Correct answer: 30% Explanation: 12 = x40 divde both sides by 40 and you get.. 12/40 which reduces to 3/10, turn this into a decimal..=0.3 and multiply this by 100 to get 30%

0.00078/0.00002

Correct answer: 39 Explanation: Turn the numerator and denominator into a factor of 10. 78 x 10 -5 ÷ 2.0 x10-5 Divide 2 into 78 = 39 Subtract the numerator exponent from the denominator exponent: 10 (-5 -(-5)) = 100 = 1 39x1 =39

0.00045/9

Correct answer: 5 (10-5) Explanation: Use powers of 10 for the numerator and then divide. (45x10-5)/9 45/9 = 5 (10-5)

Place in order of greatest to least. 3/4, 7/8, 9/11

Correct answer: 7/8, 9/11, 3/4 Explanation: First try to reduce any to lowest terms. Then find a common denominator for all and convert each fraction to an equivaltent fraction. The common denominator is 352. 264/352, 308/352, 288/352 these would then be ordered from greatest to least. 7/8>9/11>3/4

(0.000034)-2

Correct answer: 86.5x107 Explanation: What does the operation ask us to perform? (0.000034)-1 x (0.000034)-1 Simplify expression in parenthesis: (34x10-6)-1 x ( 34x10-6)-1 = 34-1x 34-1 x 10-6(-1) x 10-6(-1)= 34-2 x 1012 which is also the same as....... 1/342 = 1/1156 = 8.6505 x 10-4 or 0.00086505 now multiply this times 1012 and we get... moving the decimal point 12 places to the right. 8.6505 x 108

convert 50 degrees C⁰ to Farenheit

C°= 5/9 (°F-32) 50°=5/9(F-32) 450=5(F-32) 90=°F-32 122°F Multiply each side of the equation by 9 Divide each side of the equation by 5 Add 32 to each side of the equation 50° C is equivalent to 122°F

If a train travels 270 miles in 3 hours, how far will it travel in 4.5 hour?

Set this up as proportion 270/3=x/4.5 You may cross multiply to solve 270 x 4.5= 3x x=1,215/3, or 405

Callie makes 2% interest quarterly on a deposit of $100. After a year, about how much is in her account? $102 $104 $106 $108

D. $108 multiply 0.02 x 100 =2 2 x quaterly(4) =8 8 + 100= 108

Solve for x. 4:6 :: 120:x 124 144 140 180

D. 180

How many feet are in 6 meters? 1.83 feet 18.48 feet 18.8 feet 19.68 feet

D. 19.68 feet

About how many pounds are there in 15 kilograms? 20 25 30 33

D. 33

Stanton runs 2 miles twice a week and 3 miles once a week. If he rungs every week, how many miles does he run in a year? 185 260 330 364

D. 364

Multiply and express in lowest terms: 12/3 X 31/2 = 32/3 41/6 51/3 55/6

D. 55/6

fraction to decimal

Divide the numerator by the denominator, and add a decimal & two zeros after the number being divided. Top goes in the box, and bottom goes out. Round to the hundredths place for continuous numbers. (Example: 3/4 to a decimal is 3.00 divided by 4 = 0.75)

How to convert a fraction to percent?

Divide the top of the fraction by the bottom, multiply by 100 & add % sign. Ex. 2/3 = 66.7%

multiply and simplify 2 3/5 x 1 1/4

Epress the mix numbers as an improper fractions then multiply numerators and denominators for a product of 117/40 Finally express this as mixed numberin the lowest term 2 17/40

Convert 62.5% to a fraction

Ex. Step 1: write down. 62.5% = 62.5/100 Step 2: multiply both top & bottom by 10. = 62.5/100 *10 = 625/1000 Step 3: Simplify the fraction. 625/1000 Divided by 25 = 25/40 can go lower if divided by 5 which = 5/8

solve for x 3:5::81:x

Think of the ratio this way : 3 is to 5 as 81 is to x. You may solve this by setting up an equation and cross multiply. 3/5= 81/x 5 x 81=3x 405=3x x= 135

monomial times polynomial

First multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. Remember a variable with no exponent has an implied exponent of 1. ( [2y2][y3 + 2 xy2z = 4z] = 2y5 + 4xy4z + 8y2z)

The plans for a flower garden show that it is 6 inches wide on the plan. If the scale for the flower garden is 1:12, what is the actual width of the flower garden?

First, write the proportion. 1:12=6:x Next, put the proportion in fraction form. 112=6x Then, cross multiply to solve for x. 1121xx===6x12×672 The answer is 72. The actual width of the flower garden is 72 inches.

change 1.1 into a fraction, and simplify

Focus on the number to the right of the decimal place 1 ¹/₉

how many pounds are ther in 8 kilograms?17.6 kilograms

I f 1 kilogram is 2.2 pounds, 8 kilograms equal 2.2 x 8= 17.6

how many kilometers are there in 12 miles? A.7.5 Miles

If 1 mile equal 1.6 kilometers , 12 miles equals 1.6 x 12 or 19.2 kilometers

KHDUDCM

King Kenry Died Unusually Drinking Chocolate Milk

Roman Numeral example 1984

MCMLXXXIV 1000 (M) 900 (CM) 80 (LXXX) 4 (IV)

Write the date 1929 in Roman numerals. MCMIX MCXXIX CMXXIX MCMXXIXt

MCMXXIX

L to mL

LSM= Like Some Men multiply by 1000 From Large unit to Small Sultiply by 1000

Write down date 2007 in Roman numeral

MMVII

(-) * (+) =

Negative number

PEMDAS

Parentheses Exponents Multiply Divide Add Subtract

MDXVI

Reading from left to right M= 1,000 , D= 500, X=10 and VI=6 making it 1516

LXXX

Roman Numeral for 80

mL to L

SLD= Some Ladies Drink divided by 1000 From Small unit to Large untit Divide by 1000 ​

How to convert a percent to fraction?

Step 1: Write down the percent divided by 100 like this: percent/100 Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.) Step 3: Simplify (or reduce) the fraction Ex. 75% = 75/100 = 15/20 = 3/4

Convert F to C

Subtract 32 Divide by 1.8

Roman Numeral A letter placed before another of a greater value...

Subtracts Ex: XC = 90

roman numeral system

System of writing numbers using a combination of: M, D, C, L, X, V, I; numerals are combined to form numbers through addition. A numeral with a smaller value placed before a larger value, means the smaller # is then subtracted.

Which numeric system was a base 20 system

The Mayan systen is based on 20 Babylonian system is based on 60

A builder has 8 boxes of screws in his storage. Each box contains 400 screws. If he needs 640 screws to complete a project, what portion of his screws will he need to use?

The builder uses 640/3200 screws which converts to 0.2 or 1/5 of the screws he has available.

percent formula

is/of = %/100

2(6x7)/6-5=

The correct solution is 4 because using the PEMDAS mnemonic, 6 x 7 = 42 ÷ 6 = 7. Following the order of operations, 2 + 7 - 5 = 4.

Convert 4 tons to pounds.

The correct solution is 8,000 pounds. 4 T×2,000 lb1 T=8,000 lb.

What is the least common denominator for 3/8 and 1/12

The leat common denominator os is the least number into which each denominator divides.8 does not divides into 12, but it does divide into 24

Mode

The number or numbers that occur the most often

How many cups are there in 2 gallons

There are 16 cups in a gallon and 32 cups in 2 gallons

decimal to fraction

This requires knowing the place value of the numbers in the decimal. Use the place value to make a fraction. Reduce when necessary. (Example: 0.9[10ths place] to a fraction is 9/10)

A sample contains 2/3 oz. of liquid. How many milliliters (mL) is this?

To convert oz. to mL, multiply by 30 oz./mL. 2/3 * 30 = 60/3 = 20

What temperature is 75°F on the Celsius scale?

Using the appropriate conversion equation, (75°F - 32) × 5/9 = 23.88 or 24°C.

Ben is training for a marathon. If he starts running 4 miles a day in week 1 and adds 2 miles per run each week, in which week will he reach his goal of a 26-mile run?

Week 12

Roman numerals

When a c is put before an m it means to subtract 100 for 1000

improper fraction

a fraction in which the numerator is larger than the denominator

mixed fraction

a number that is a whole number, and a fraction

a negative minus a negative

add, and the answer will be negative (-5 - 3 = -8)

adding negative numbers

add, and the answer will be negative; negative plus negative equals negative (-2 + -5 = -7)

a positive minus a negative

add, and the answer will be positive; positive minus negative equals positve (2 - -3 = 5)

percent change

amount of change divided by original amount, times 100 (amount of change/original amount * 100)

area formula

area = length times width; to solve, all measurements must have the same units, and may require conversions

percent decrease

subtract new amount from old amount, divided by original amount times 100 ([original amount - new amount]/original amount * 100)

like signs become

become positive

In what numeric system does 101 referto this amount *****?

binary

a scientist must measure the distance between two twigs in a nest. which would be the most accurate tool to use for this task? ruler or caliper

caliper

cenversion by proportion eg; 12 inches to centimeters

cm/cm=in/in

dividing mixed fractions

convert any mixed fraction to an improper fraction, and divide as usual (invert the second fraction and multiply)

multiplying mixed fractions

convert any mixed fraction to an improper fractions, and multiply as usual (top times top & bot times bot)

subtracting mixed fractions

convert any mixed fractions to improper fractions, and subtract (apply common denominators if needed)

ratios; finding the whole when a total is given

convert the ratio to a fraction by adding together the parts of the ratio, this sum is the whole and will be the denominator to the parts to cross multiply. (ratio 5:4 = 9; 4/9 and tot 90 is 4/9 = x/90; x = 40)

finding ratio equivalents

cross multiply with given ratio and information

original price equals

divide new price by whole amount minus % mark up, or mark down (new price/[whole - percent mark down or mark up])

improper fraction to mixed fraction

divide the larger numerator by the smaller denominator; the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same.

fraction to percent

divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign.

dividing fractions

don't ask why, invert the second fraction and multiply

equations with more than one variable

example: solve for y: (4x + 3y = 3x + 2y). combine like terms: (3y - 2y = 3x - 4x). solve for y: (y = -x)

adding mixed fractions

first add the whole numbers, then add the fractions (apply common denominators if needed)

multiplying in algebraic equations

first multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents.

ratios can be writen as

fraction,using a colon or in word form like 5 to 12 as an example

P E M D A S

in a math problem, the order of steps done from left to right starting with parenthesis, then exponents, multiplying & dividing, and adding & subtracting

foil method for proportions

inside times inside and outside times outside

interest (I)

interest = principle times rate, times time (I = prt)

adding and subtracting decimals

line up decimals, and add or subtract

percent increase

subtract old amount from new amount, divided by original amount times 100 ([new amount - old amount]/original amount * 100)

How many kilograms are there in 11 lbs

multiply 2.2 by 11 =24.2

find ratio of 6:16

multiply both sides of the original ratio by 35 will give =210:560

binomial times polynomial

multiply both terms in the binomial, one by one, with each term in the polynomial creating a first term and a second term, then solve by adding the two terms together.

Amount increase or decrease

multiply original price times % mark up, or mark down (original price * percent mark up or mark down)

mixed fraction to improper fraction

multiply the denominator by the whole number and add the numerator, keep the original denominator

unlike signs become

negative

(-) / (+) =

negative number

adding & subtracting in algebraic equations

only like terms can be added or subtracted. A like term is one with the same variable or combination of variables. Constants are numbers without variables attached, and those can be grouped together as well.

adding positive and negative numbers

subtract, and use sign of larger number (3 + -4 = -1 or -3 + 4 = 1)

perimeter formula

perimeter = width + width + length + length; to solve, all measurements must have the same units, and may require conversions

(-) * (-) =

positive number

principle (p)

principle = interest divided by rate, times time (p = I/rt)

rate (r)

rate = interest divided by principle, times time (r = I/pt)

monomial times monomial

remember a variable with no exponent has an implied exponent of 1. First multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. ( [3 x4 y2 z][2 y4 z5]= 6 x4 y6 z6)

a cake recipe calls for 2 1/2 cups of flour. How many cups are neededn to make 6 cakes

set up a proportion 20.5/1 =x/6 cross multiply to solve 2.5x6=x,x=15 So 1 cake takes 2 1/5 cups so 21/5 x 6=15 cups

multiplying fractions

simple; top times top and bot times bot

IS/OF

solving percent problems set up a proportion %/100= is/of eg: 25% of what number is 6 25/100=6/x x=24 What percent of 40 is 28? (formula) %/100= is/of x/100=28/40 x=70 to check multiply .70 X 40=28 or 70/100=28/40 when reduce are equivalent fractions 7/10=7/10

A roast was cooked at 325 Fahrenheit in the oven for 4 hours. The internal temp. rose from 32 Fahrenheit to 145 Fahrenheit. What was the average rise in temperature per hour?

temp./hr = (145-32)Fahrenheit/4hrs. = 113F/4hrs = 28.25 F/hr

multiplying & dividing with different signs

the answer will be negative when multiplying or dividing different signs

multiplying & dividing with the same signs

the answer will be positive whether both signs are positive, or both signs are negative

GCF

the largest number that can divide evenly into, and be shared by, two numbers (7 - 1, 7 & 21 - 1, 7, 3, 21: GCF = 7)

time (t)

time = interest divided by principle, times rate (t = I/pr)

10 kilograms is equivalent to how many pounds?

to convert kilograms to pounds, multiply 2.2 lbs/kilo. 10 * 2.2 = 22

comparison of rational numbers

to determine which of two fractions is greater than, less than, or equal; cross multiply and apply product to the numerator of the fraction. The greater number will be revealed.

direct proportion

two quantities that are directly proportional will increase or decrease in tandem. They change in the same direction. For direct proportions, solve by cross multiplying.

inverse proportion

two quantities which are inversely proportional will change in opposite directions. As one increases, the other will decrease. For indirect proportions, examine the rates at which the two quantities change, then solve using a fractional equation.

what percent of 25 is 5?

x 25 = 5 so 5/25 which equals .20 or 20%