math

On the first day of the month, the original price of a sofa, which was $304, was marked down 15%. The following day, the discounted price was marked down 12%. What is the marked down price on the second day?

$227.39

36 ÷ .4 =

90 an easy way to figure this problem out is to convert the decimal by multiplying by 10, such that .4 becomes 4 and 36 becomes 360. The division of 360 by 4 may be easier for one to understand.

Jeanne had $2024 in her savings account at the beginning of April. By the end of the month she took the following amounts from her savings account: $212 $102 $210 What is her account balance at the end of the month?

$1500 deduct the sum of the transaction from the account balance Account balance after withdrawals = 2024-(212+102+210)=1500

A grocery store sells 12 cans of soda for $6.24 and 6 cans of soda for $3.92. How much less expensive per can is it if you buy 12 cans?

$0.13 Find the price of each can using the different pack prices $6.24/12=$0.52 $3.92/6=$0.65 Subtract these prices. $0.65-$0.52=$0.13

The price of land in Jonesboro has been constantly increasing since the year 2001 at the same rate. The price of an acre in 2001 was $420 and, in 2011, it was $540. What is the rate of change per year?

$12.00

Mika is planning a trip that will cover 1232 miles. Her car gets 28 miles to a gallon. If the price of gas is $3.25 per gallon, determine the cost of gas during her trip?

$143 first deterimine how many gallons of gas will she use. 1232/28=44 gallons cost of gas =44x3.25 =143

John's annual salary in the year 2010 was $48,560.45 and in the year 2011 was $48,321.55. What is the difference between his monthly salary in years 2010-2011, to the nearest hundredth?

$19.91

Catherine is planning to make cookies for her grandchildren. She purchased the following items: 3 Pounds flour each for $1.23 2 Pounds Sugar each for $1.25 3 Packages of Butter each for $3.45 2 Gallons Milk for $3.25 How much did she spend in total?

$23.04 find the prices of each item and then add them up Total purchase =3(1.23)+2(1.25)+3(3.45)+2(3.25) =3.69+2.50+10.35+6.50 =23.04

Ronald earns $3225 per month. 12% of his salary is withheld for income tax. Find the amount of his take home per month.

$2838

A carpet is on sale for $198. The regular price of the carpet was $264. What is the markdown on the price of the carpet?

$306

Jason pays 24% of his earnings per month for his home installment. If his income is $4225, how much does he take home after paying the installment?

$3211

Carol had $4531 in her checking account before going on a trip. At the end of her trip she noticed that the following transactions were posted to her account: Withdrawal: $437 Withdrawal: $291 Withdrawal: $29 Withdrawal: $37 Find her account balance at the end of her trip?

$3737 Add all the transactions and subtract the result from the account balance Balance after withdrawals= 4531-(437+291+29+37)=3737

Rosie checked her checking account online at 8:00 AM and noticed that her account balance is $4,323. At 9:00 PM, she checked her account again and noticed that the following transactions were posted to her account. Find her final balance after reconciling these transactions: 1. Electronic withdrawal: $320 2. Electronic withdrawal: $22 3. Electronic withdrawal: $124

$3857 Add the transaction and then subtract the result from the balance at 8:00Am. Account Balance at 9:00PM = 4323-(320+22+124) =4323-466 =3857

John spends 12% of his salary on groceries each month. If his monthly salary is $3400, how much does he spend on groceries?

$408

Jane's monthly income in the year 2010 was $48,200, where 14% of her salary was withheld for income tax. In the year 2011, her monthly salary was $51,800, where 16% of her income was withheld for income tax. What was her average take home pay during the years 2010-2011?

$42,482

The balance of Aaron's savings account at the beginning of the year was $3197. For six months he deposited $230 each month in his savings account. What is the balance after six months?

$4577 Add six times 230 to the original account balance Balance after six months = 3197+6(230)=4577

A stereo system has an original price of $328, and a laptop computer has an original price of $420. A store advertised that for purchasing both a stereo and a laptop, it will give a 12% discount on the total purchase. What is the total sale price of a stereo and a laptop?

$658.24

John wanted to purchase 3 CD packages and 5 rolls of film. If the price of each CD package is $12.82 and the price of each roll of film is $8.21, how much does it cost to purchase these items?

$79.51 First set the numerical expression in terms of both purchases, and then calculate: 3(12.82)+5(8.21)=$79.51

The price of one bottle of soda in a grocery store is $0.85. But the store advertised that it will give a discount of 12% for any purchase of more than 8 bottles. What is the sales price of 12 bottles of soda?

$8.98

Barbara purchased three shirts each for $12.54, and two pairs of shoes each for $29.98. How much did she pay in total for these items?

$97.58 Set up the numerical expression first and then simplify : Total purchase = 3(12.54)+2(29.98)=37.62+59.96=$97.58

- 33 - 5 x 1 =

- 38 By the oder of operations, you first carry out multiplication before addition or subtraction. a number multiplied by 1 will be itself therefore -33-5=x x=-38

what is the value of 4(29-19)/5-4x13?

-44 First simplify inside the parentheses 4(29-19)/5-4x13=4(10)/5-4x13 =40/5-52 =8-52 =-44

Given A = 0.035, B = 0.0053, and C = 0.55, round the result of the product (A + 0.25)(B + 0.35)(C + 0.45) to the nearest hundredth.

0.10 Replace the given values in (A+0.25)(B+0.35)(C+0.45), and Simplify (A+0.25)(B+0.35)(C+0.45)= (0.035+0.25)(0.0053+0.35)(0.55+0.45) =(0.285)(0.3553)(1) =0.1012605 ~0.10

The price of office supplies in a store are as follows: Pen : 24 cents Pencil: 18 cents Notebook: $1.24 Paper pack: $3.92 Which equation can be used to calculate the total price of m pens, n pencils, p notebooks and q packages of paper?

0.24m + 0.18n + 1.24p + 3.92q Multiply the number of each item by its price and then add them up don't forget to convert cents to dollars. 0.24m+0.18n+1.24p+3.92q

The plastic bags are supplied with three types of thickness as follows: Light weight: 0.002 in. Regular weight: 0.0025 in. Heavy weight: 0.003 in. What is the thickness of the stack of 65 light weight, 34 regular weight, and 54 heavy weight bags rounded to the nearest thousandth inch?

0.377 in. Set up the numerical expression and simplify (65)(0.002)+(34)(0.0025)+(54)(0.003)=0.13+0.085+0.162=0.377in

4x3/7=

1 5/7 to multiply an integer and a fraction, you do not need a common denominator. The numerator of the fraction is multiplied by the integer and the denominator is multiplied by one and stays the same 4/1 x 3/7= 12/7=1 5/7

1/4+2/8=

1/2 To add or subtract fractions, you need a comman denominator 2/8 reduces to 1/4 1/4 + 1/4=2/4 2/4 can be reduced to 1/2

A student paid an auto insurance premium of $360 for six months. Then the premium dropped to $320. Find the percent of decrease in the premium.

11.11%

In the Global Auction Market, an oak rocking chair valued at $4200, sold for $9400. What is the percent of increase in the value of the chair?

123.81%

The volume of gasoline in a tanker dropped from 9468 gallons to 7569 gallons after pumping gasoline to the reservoir of a gas station. How much gasoline did the tanker pump into the reservoir?

1899 gallons

John was born in the year MCMXLIX. Convert his birth year to an Arabic Numeral.

1949 Replace the following equivalents in the numeral M=1000 CM=(1000-100) XL=(50-10) IX=(10-1) MCMXLIX=1000+(1000-100)+(50-10)+(10-1)=1949

What year is the Arabic numeral MMXII?

2012 Here is the list of Arabic equivalents for the Roman numerals used in the problem M=1000 X=10 II=2 The, Replace their Arabic equivalents in MMXII MMXII= 1000+1000+10+2=2012

Given x = 3.24, y = 2.23, and z = 3.42, what is the value of xyz(x + y + z) to the nearest tenth?

219.7 Replace the given values in the expression and simplify xyz(x+y+z)= (3.24)(2.23)(3.42)(3.24+2.23+3.42) =(24.710184)(8.89) =219.67

A carpet is on sale for $198. The regular price of the carpet was $264. What is the markdown on the price of the carpet?

25%

18-23+99/3=

28 by the order of operations you first carry out division before addition or subtraction 18-23+33=x x=51-23 x=28

8-3 x 4+9=

5 By the order of operations, you first carry out multiplication before addition or subtraction 8-12+9=x -4+9=x x=5

2/3 ÷ 4/5 =

5/6 to divide a fractions by another fraction invert the term of the divisor and than multiply 2/3 x 5/4=10/12=5/6

5/6 x 3/4=

5/8 To multiply a fraction by another fraction, multiply numerators and denominators 5/6 x 3/4=15/24=5/8

If 24% of the expression (m + 2n) is 48, then what is 25% of (m + 2n)?

50

Which numeral represents the Roman expression XXXI + XXIV?

55 Replace the following equivalents in the expressions: X=10 I=1 IV=4 XXXI+XXIV= (10+10+10+1)+(10+10+4) =31+24 =55

348/6=

58 The quotient of 348 divided by 6 is 58. if you multiply 6 by 58, you get 348 as the product

what is the value of -4[3-4(8+1)/3-3]+12?

60 first simplify inside the brackets ] -4[3-4(8+1)/3-3]+12=-4[3-36/3-3]+12 =-4(3-12-3]+12 =-4(-12)+12 =48+12 =60

Two fifths of the members of a Literature Club are published writers. What percent of the members are not published writers?

60%

.08 + 7 x 9 =

63.08 by the order of operations, you first carry out multiplication before addition or subtraction. 7 x 9 equals 63 and adding .08 equals 63.08

If 28% of 20% of A is 420, what is A?

7500

A is 29% of 2900, and B% of 290 is 29. What is A + B?

851