Gen 201 final

Find the special product: (5x - 2y)^2

25x^2 - 20xy + 4y^2

Identify the degree of the polynomial: 3x^2 + x^4 - 5x^3

4

4 m = ? cm

400

Convert 9 (in/s) to (ft/min)

45

What is the cost of the landscaping?

$4,300

A real estate agent makes a 5.4% commission. What does the agent make on a $129,900 home?

$7,014.60

Perform the indicated operation: (-5/8) + (3/16)

-7/16

Find the greatest common factor of 6, 9, and 10.

1

Change 18 hours to minutes.

1080 min

Which is the least common multiple of 4 and 15?

60

Express in scientific notation: 7,215

7.215 × 10^3

Divide:

x +11

Given I = PRT, find interest if P = $1,000, R = 8.25% and T = 4 years.

$330.00

After the market value on a home went up 20%, it was listed at $78,000. What was the original cost?

$65,000

Which is a list of the factors of 21?

1, 3, 7, 21

Use the FOIL method to find the product: (4x - 2y)(3x + y)

12x^2 - 2xy - 2y^2

Find the value of | 17 |

17

A bag of fertilizer weighs 40 pounds. What is its weight in kilograms?

18 kg

Use your calculator to find the following product: 4.2(65)(0)(0.7)(2)

0

Write as an ordinary number: 8 × 10^-5

0.00008

Write 5/1000 in decimal form

0.005

Write the product: x^-3(x)(x^2)

1

Divide and write the quotient in standard notation: 10 gallons ÷ 6

1 gal 2 qt 1 pt 5/1/3 oz

Change 5/2/3 to an improper fraction.

17/3

Divide: 8,512 ÷ 28

304

Give the reciprocal of 5/3/4

4/23

Doug Rodante weighed 95 kilograms before losing 350 grams. What is his current weight in kilograms?

94.65 kg

An automobile that is traveling 65 miles per hour is traveling how many feet per second?

95.33 feet/second

Round 0.087 to the nearest hundredth.

0.09

Change 500 inches to meters. (Round to nearest tenth; 1 m = 39.37 in.)

12.7

Round 587,459 to the nearest thousand.

587,000

Perform the indicated operation: -24/-4

6

Give the base and exponent of 3.91^4.

Base is 3.91; exponent is 4.

Solve the inequality: 3(x + 5) ≤ 3x + 7

no solution

Tuan gets a 3.5% raise each year. His beginning salary is $21,500. What is his salary after three such raises?

$23,837.43

Write 2^-4 using a positive exponent.

(1/2)^4

Choose the true statement from those below:

-1 is an element of the set of integers.

Perform the indicated operations: 12 - 5 - 11 + 3 - 5 - 9

-15

Solve the equation: 6 - x = 9

-3

Arrange these integers in order as they would appear on a number line: 2, -2, 0, -5, 6, -1.

-5, -2, -1, 0, 2, 6

Perform the indicated operations: -5/8 +3/16

-7/16

Change 7/9 to a repeating decimal.

0.7 with a line over 7

Solve the following::A berry picker can pick at the rate of one crate every 6 minutes. How many helpers working at the same rate would the berry picker need to get a crate every 3 minutes?

1

Perform the indicated operations: 169 × 10^4 + 24 × 10^3 =

1,714,000

Huong had a jar full of coins. He sorted them by monetary value and found he had 5 silver dollars, 1032 pennies, 526 dimes, 120 nickels, 6 half-dollars, and 103 quarters. How many coins were in the jar?

1,792 coins

Perform the division and express in scientific notation: (7.2 x 10^6) / (4.5 x 10^-3)

1.6 x 10^9

Perform the indicated operation in the expression (2/3/4) - (1/1/5)

1/11/20

Divide and reduce answer to lowest terms converting improper fractions to whole or mixed numbers: 6 ÷ 3/1/3

1/4/5

Find the distance between 2/5/8 4/1/2 in. and in. on a U.S. customary rule.

1/7/8in

Solve the given problem: It takes 60 oz. of grass seed to seed 3,000 ft2 of lawn. At this rate, how much would be needed for 5,000 ft2 of lawn?

100 oz

Simplify this exponential expression: 4^5

1024

Samantha borrowed money to buy lawn equipment to start her new lawn service business. She borrowed $800 for 9 months and paid $70.50 in interest. What was the rate of interest?

11.75%

Which of 5/12 , 2, 4/2/3 , 11/4 is an improper fraction?

11/4

Multiply: 4(-3)(-5)(2)

120

The local property tax increased from $37 per thousand of assessed value to $42 per thousand of assessed value during the last year. What is the rate of increase in property tax for the year to the nearest tenth of a percent?

13.5%

Which fraction represents a measure of 0.3475 ft.?

139/400

find 350% of 42. Use the percentage proportion.

147

Change 59° Fahrenheit to °Celsius. Use the formula: C = (5/9)(F - 32)

15

72% = ? (fraction)

18/25

Which fraction is equivalent to 3/5 and has a denominator of 30

18/30

Find the perimeter of the given shape: (0.7/4)=(x/12)

2.1

Express in scientific notion: 240 × 104

2.4*10^6

Perform the multiplication: 3x^3(7x^2 + x - 3)

21x^5 + 3x^4 - 9x^3

Divide (8/7) / (10/6)

24/35

What is the percent of students from the class in the 23-27 age group?

28%

What percent of 893.6 is 23.7? (nearest whole percent) Use the percentage formula.

3%

Subtract: 39 m - 82 cm

3,818 cm

Find the midpoint between 2.3 cm and 4.8 cm on a metric rule.

3.55cm

What is the percent of total take-home pay spent for food?

31%

Change 70 kilometers to miles. (Round to nearest tenth; 1 mi = 1.6 km.)

43.8

Find the rate when the portion is 27 and the base is 60.

45%

Perform the multiplication and express in scientific notation: (1.6 × 10^9)(2.5 × 10^6)

4x10^15

Which of the following is a true statement about the comparison of 5 and 7?

5 < 7

Which of the following is a true statement about the comparison of 5 and -7?

5 > -7

Perform the division and express in scientific notation: (4.81 x 10^7) / (9.62 x 10^0)

5 x 10^6

Evaluate 3[4^2 +( square root of 4)] - 40 ÷ 10 following the order of operations using a calculator.

50

Jason designed a freestanding playpen for his young daughter in his backyard. How much fencing must he buy if the width is 18 feet and the length is 10 feet?

56 feet

An I-beam measures 14 ft long. How many whole (2/1/16) ft pieces can be cut from this length?

6

What is the additive inverse of -6?

6

A hardware store sells chain in three-foot increments. Lauren needed to repair swings in the park. She measured each length needing replacement: 5 ft 2 in., 9 ft 7 in., 8 ft 11 in., and 7 ft 5 inches. What is the length she must buy for each of the four swings?

6 ft, 12 ft, 9 ft, 9 ft

Select two ratios that form a proportion: 6/8, 8/10, 9/12, 10/14

6/8 and 9/12

Convert 88 ft/s to mi/h.

60

Round 62.488 to the tens place.

60

Change5/8 to a percent equivalent.

62.5%

Find the greatest common factor of 14, 21, and 35.

7

The cost of a 4 × 4 × 8-cedar fence post went from $4.82 to $5.17. What was the rate of increase?

7.3%

Perform the indicated operations: (-5/8) / ( 15/-7)

7/24

Perform the indicated operations: -5/8 / 15/-7

7/24

Some grocery stores wrap and price fresh meat by the kilogram. How many grams are in a package that weighs 8.5 kg?

8,500 g

Simplify the expression: (5x - 2y) + (3x + 8y)

8x + 6y

Solve for x: y = mx + b

x = (y-b) / (m)

A trailer can haul 15 tons of freight, and a loadmaster (person who plans and loads trailers for over-the-road hauls) has an order to ship a truckload of bacterial hand soap to a Super Store Distribution Center. If one carton of the soap weighs 12.5 kilograms (including the weight of the carton and its contents), how many cartons can be loaded on the trailer without exceeding the weight limit?

1,088 cartons

15 g = ? mg

15,000

Solve for b1: A = 1/2(b1 + b2)h

b1 =2A/h - b2

Raise to the indicated power (4/9)^2

16/81

If a gas pipe is 42 feet long and weighs 85 pounds, how much does each foot of the pipe weigh?

2.02 pounds

The price of a cubic yard of concrete increased last year from $65 to $78. What was the percent of increase to the nearest percent?

20%

11/3/5%

0.116

Find the mean of the test scores from a math class whose scores were: 74, 52, 61, 97, 85, 77, 74, 98, 77, 89, 74, 70.

77

Find the range of the following: 45, 34, 56, 89, 90, 23, 47, 86, 12, 37

78

Using the given frequency distribution table for the 2-hour intervals of the temperatures for June 24, determine the average temperature which occurred during the 24-hour period.

79.3^o

7.9 meters of drapery fabric is the same as how many centimeters of fabric?

790cm

9.512 is what percent of 116? Use the percentage proportion.

8.2%

A printing press can produce 1 day's newspaper in 4 hours. A higher-speed machine can do 1 day's newspaper in 2 hours. How much time would it take both presses to do the one job?

1/1/3 hours

Perform the indicated operation. Express as a power of 10: (10^-2)^3

10^-6

If you have 15 boxes and each one weighs 12 pounds 5 ounces, what is the total weight of the boxes? Report your answer in standard form.

184 lb 11 oz

The local school budget needed to be cut by $300,000. If the budget was originally set at $1,543,000, what is the percent of decrease needed?

19.4%

Multiply: 2ab(3cd - 5ac - 7bd) =

6abcd - 10a^2bc - 14 ab^2d

Millie went shopping and found a dress that had been marked down from $53.95 to $42.95 to $21.50 to $14.50. What percent of the original cost did she save?

73%

For the month of January, Kansas had an average high of 60 degrees and an average low of -24 degrees. What is the range of temperatures for the month?

84 degrees

Find the median of the test scores from a math class whose scores were: 94, 82, 97, 74, 52, 61, 97, 85, 94, 74, 98, 77, 89, 94, 70.

85

Find the product (2x - 3)^3 by using the fact that (2x - 3)^3 = (2x - 3)(2x - 3)^2.

8x^3 - 36x^2 + 54x - 27

Solve the following problem: Five less than three times a number is the same as twice the sum of a number and two. Find the number.

9

Find the mode of the test scores from a math class whose scores were: 94, 82, 97, 74, 52, 61, 97, 85, 94, 74, 98, 77, 89, 94, 70.

94

A coffee company mixes 1.6 lb of French Roast beans with every 3.3 lb of Kona beans. How many pounds of French Roast are needed to make 3,000 lb. of the coffee blend?

979.6 pounds

A can of coffee weighs 13 ounces. What is the smallest number of cans that must be used to package 1,000 kilograms of coffee?

: 2,715 cans

Find the average and round to the same place value as that used in the problem. Cost of a can of cat food: 51¢, 94¢, 15¢, 73¢, 48¢, 51¢, 33¢

: 52¢

An 18 oz box of cereal costs $3.51. Find the unit price.

$0.195

Multiply: 0 ∙ 62

0

divide 0/5

0

Write as an ordinary number: 6 × 10^-2

0.06

Find the mean of the daily rainfall for a week: 0.65 inches, 0.12 inches, 1.24 inches, 2.45 inches, 0.88 inches, 0.56 inches, 0.01 inches

0.84 inches

Perform the operations and express in scientific notation: (1 x 10^3)^2

1 x10^6

Subtract: 9 lb 2 oz - 6 lb 5 oz

2 lb 13 oz

Express 80 inches in standard notation using feet and inches.

2 yd 8 in

Perform the division and express the results in scientific notation: (6.8 x 10 ^-4) / (2.5 x 10^2)

2.72 x 10^-6

If a car can go 216 miles on 12 gallons of gasoline, how far can it travel on 20 gallons?

360 miles

Express in scientific notation: 65,000,000

6.5 x 10^7

Using the given frequency distribution table find the grouped mean.

79

Write in exponential notation 64.

8^2

If the price of gasoline decreased by 8% per gallon, what would be the new price per gallon from $1.39 per gallon, rounded to the nearest cent?

$1.28

A printer can print 15 pages a minute. How many pages can be printed in 3 hours?

2,700 pages

Which number is closest to 2.3?

2.287

Express in scientific notation: 0.000004

4*10^-6

Which dormitory had an increasing occupancy over the time period?

Deaton

What three-month period maintained a fairly constant sales record?

May-Jun-Jul

Change 290 meters to centimeters.

c. 29,000 cm Correct

Write the product: x^6(x^-8)(x^4)

x^2

Add: -9 + 5 + 12 + (-19)

-11

Perform the indicated operation with signed decimals: -5.7 + 2.4(-6.8 + 3.9)

-12.66

Divide -12/4

-3

A typical aluminum soda can contains 385 mL of soda. How many liters is this?

0.385 L

James ordered 130 individual party items. When the shipping bill was examined, he estimated 28% of the shipment was back ordered. How many items, to the nearest item, were back ordered?

36

Solve the equation: 5(x - 3) = 2(3x + 1)

x=-17

Solve the equation: 0.2(3.6x + 2) = 4

x=5

Solve the equation: 12x - 24 = 8x

x=6

40 cl = ? ml

400

If 4/5 of all plumbers in the city belong to the plumber's union, what percent belong to the union?

80%

Perform the division:

2x^2 + 4x - 1

How many yards are in a driveway that is 287 feet long?

95.7 yards

A tool and die maker earns $1,625 monthly. What is the annual salary?

$19,500

Solve 1/3 =1/x + 5/6

-2

Which of the following demonstrates the correct method to verify the solution to an equation?

-8x = -48; x = 6-8(6) = -48-48 = -48

there is 5% waste of supplies in an office. If the office manager's supply budget is $200 each month, how much does the waste cost?

$10.00

If there is a 15% gratuity built into a dinner check, what is the final bill on an order of a party whose food came to $124?

$142.60

Change the fraction to three equivalent signed fractions (+3/+7)

-(-3/7), -(3/-7), (-3/-7)

Raise the term to the indicated power: (-2/7)^3

-8/343

Your math textbook weighs 6 pounds. How many kilograms does it weigh?

2.7 kilograms

Solve the following:A nurse can prepare dosages for the patients in 24 minutes. If she gets help from assistants who work at her rate, the preparation can be done in 6 minutes. How many helpers are needed to work with her?

3 helpers

A 3-liter bottle of soft drink contains how many quarts of liquid? (See conversion factors in text.)

3.17 quarts

A bushel of soybeans weighs 70 pounds. How many kilograms is this? (1 kg = 2.2046 lb)

31.752 kg

What percent of the yearly sales was the sales for October-December?

32.0%

What percent of wholesale price is the cost of labor?

33.3%

14% of 348 is what number? (nearest whole number) Use the percentage formula.

49

Write a fraction to represent the shaded portion of a given figure.

5/12

Ty was given a bag of candy that had 5 packages of gum, 3 candy bars, 2 suckers, and 4 mint rolls. What is the probability of picking a package of gum from the bag on the first draw?

5/14

Find the perimeter of the given shape:`

56.8

Write the statement as an equation and solve:How many ounces of water must be added to 6 ounces of juice concentrate to make 24 ounces of juice?

6 + x = 24; 18 ounces

Divide -21/0

undefined

Write the following statement as an equation and solve: Dorothy Forsha had $125 more in her checking account than in her savings account. If she has a total of $1,045 in both accounts, how much money was in each?

x + x +125 = 1,045; $460 in savings and $585 in checking

Solve the inequality: 3/4x + 1/2≤5/6x

x ≥ 6

Solve the equation: 6 - 4(2x + 3) = 24

x=-15/4

Simplify the expression: (4x^2 - 3x + 1) - (3x^2 - 5x + 4)

x^2 + 2x - 3

An architect's drawing is scaled at 0.5 in = 4 ft. Find the actual measurement for a wall that is 1.25 in. on the drawing.

10ft

Chucka earns $36,428 per year. She is paid by the week. If $13,114.08 cents is removed for taxes and social security during the year, how much is her weekly take-home check including her paid vacation weeks?

$448.34

How many feet are in 132 inches?

11

Solve 7/12x - 3/4 = 2/9 - 2/3x

7/9

Accountants often use the median when studying salaries for various businesses. What is the median of the following salary list? $32,084, $21,983, $27,596, $43,702, $38,840, $25,997.

$29,840

Change 40° Celsius to Fahrenheit. Use the formula: F = (9/5)C+32

104

Sharon watched her stock for several days starting with a value of $25. If her stock rose $4, dropped $8, rose $11, dropped $6, rose $2, dropped $9, and rose $15, what was the value of her stock at the end of the 7 days?

$34

A group of printers were advertised in the Sunday supplement. The prices listed were $129, $275, $475, $139, $159, $210, $425, and $159. What was the range of the cost of the printers?

$346

Pilfering in discount stores occurs at a rate of nearly 35% based on the annual income. The annual estimated income of a nearby discount store is $582,000. What is the income of the store after pilfering?

$378,300

You stop at the grocery store on the way home to pick up a few items. Round to the place of the first digit the items valued at $3.72, $.41, $1.28, and $.65.

$4, $0.40, $1, $0.70

Given normal use, a car will depreciate 28% of its original cost the first year and 12% of the remaining value in the second year. What was the initial cost of a car if it had a value of $12,600 at the end of the second year?

$19,886.36

Western Wood Recycling advertised a 3-unit load of recycled wood chips for $57 dollars a load. They also gave a $2 donation to a local boy scout troop for every Christmas tree brought in for recycling. They sold 17 loads to a corporation doing major landscaping. If 342 recycled Christmas trees were a part of the loads sold to the corporation, what would be the amount of money Western Wood Recycling earned from the sale after donations were paid?

$285

Simplify this exponential expression: 10^5

100,000

Change 40° Celsius to Fahrenheit. Use the formula: F = (9/5)C + 32

104

Solve the proportion: (3x+2)/6 = 5/4

11/6

Find the mode of 5, 30, 24, 27, 12, 21, 10, 12, 18.

12

Solve for the variable: 3.57 = R + 0.7R

2.1

Find the midpoint between 1.7 cm and 3.2 cm on a metric rule.

2.45cm

Find the length of a rectangular work area if the perimeter is 64 in. and the width is 9 inches. Use the formula P = 2(l + w).

23 in

Multiply: (6 ft 6 in.) × 4

26ft

23% of what number is 64?

278

3, 6, and 9 are multiples of which number?

3

Write 35/10 as a whole or mixed number in lowest terms.

3/1/2

You have calculated that you need 9 gallons of paint to paint the exterior of a home. The store has a closeout of the paint you need, but it is only available in pints. How many pint cans should you purchase so that you have the 9 gallons of paint?

72 pints

Solve the given problem: The coffee beans from 16 trees are required to produce the 19 lb of coffee that each person in the United States drinks, on the average, each year. How many trees are required to produce 450 lb of coffee? (Hint: Any decimal part of a tree becomes a whole tree.)

379 trees

Select two ratios that form a proportion 10/15, 5/8, 8/16, 10/16

5/8 and 10/16

Perform the division: (15y^8)/(3y^4)

5y^4

Write as an ordinary number: 8.4 × 10^0

8.4

Change 50 miles to kilometers (1 mi = 1.6 km).

80

A welder can make 8 welds in an hour. How many welds can 26 welders make in a 40-hour week if all work at the same rate?

8320

Find the average of these test scores, rounding to the nearest whole number: 82, 95, 89, 94, 72, 87

87

405 is what percent of 45?

900%

A two-liter cola costs $1.19 and 6 cans each containing 16 oz cost $1.59. Which is the better buy and by how much?

The 6 cans of cola cost $0.04 less per liter than the two-liter cola.

What is the mean price of the used cars?

$5,468

Change the fraction to three equivalent signed fractions:

-1/2 , -1/2 , -(-1/-2)

Perform the indicated operation: (-2/3) / (4/5)

-5/6

Evaluate without using a calculator: (-8) - (-2)

-6

Perform the division: (-14a^6)/(2a^6)

-7

Determine the volume of the given figure. Dimensions are in inches.

1,560 cubic inches

Simplify this exponential expression: 1.4^2

1.96

What length of bolt is needed to fasten two pieces of metal each 3/4in. thick if a 3/16 in. lock washer is used and a 1/8 in. nut is used?

1/13/16 in

Perform the indicated operation. Express as a power of 10: (10^4)^2

10^8

Find the amount of increase if 48 is increased by 25%.

12

If you have a container that contains 48 quarts of liquid, how many gallons of liquid do you have?

12

Find the least common multiple of 12, 24, and 30.

120

How many pints are in 15 gallons?

120 pints

A carpenter is estimating the amount of baseboard for a rectangular room that measures 28 feet 6 inches by 32 feet 9 inches. How many feet will it take to go around the room if you must add two of the lengths and two of the widths? Answer in feet and inches in standard form.

122 feet 6 inches

The population of a small city of 123,000 was increased by 3.3% during the past year. What is the new population?

127,059

Perform the operation (square root of 169) =

13

If distance = rate × time, how long did a trucker drive if she traveled 785.3 miles at 60 miles per hour?

13.1 hours

Find the amount of decrease if 85 is decreased by 16%

13.6

Add: 8 gal 3 qt + 5 gal 2 qt

14 gal 1 qt

Solve for the variable: 4/7h + 1/2h = 1

14/15

Add 10 + (4/4/5) and reduce answers to lowest terms with improper fractions changed to whole or mixed numbers.

14/4/5

Solve for the variable: 12/x = 4/5

15

Find the standard deviation for the scores: 76 59 97 96 88

15.9

Evaluate the following expression: 1/2-3/4(2/3)^2 + (2/2/5 divide 6)

17/30

Evaluate the following expression: 1/2 - 3/4(2/3)^2 + (2/2/5 / 6)

17/30

Perform the indicated operations: |-5|+|2|+|-11|

18

write 90/35 as a mixed number

2/4/7

Reduce 72/180 to lowest terms.

2/5

Reduce(72/180) to lowest terms.

2/5

Four machines can fill 4,800 bottles in 1 hour. How many bottles can one machine fill in 1 minute?

20

Round 19.98 to the nearest whole number

20

Round 24.65 to the nearest ten.

20

A concrete foundation includes (10/1/3) inches fill. If the foundation is to be 32 inches thick, how thick must the concrete layer be?

21/2/3 in

Divide and reduce answer to lowest terms. Convert improper fraction to whole or mixed number: (3/8) / (5/7)

21/40

Simone was pleased with her service at a local restaurant where she had entertained some friends for dinner. She left a tip of $44 for a bill of $195.55. What tip rate did she leave for the service?

22.5%

A 10 lb bag of dog food costs $3.98 and a 25 lb bag of the same dog food costs $6.95. Which is the better buy?

25 lb bag

Identify the list that is a list of multiples of 25.

25, 50, 75, 100, 125`

Write 2.5 as a fraction with a power-of-ten denominator.

25/10

Which of the following is a prime number

29

Which of the following numbers is a composite number?

34

Bill kept track of the temperatures in Moses Lake, Washington for 7 days. Determine the average temperature to the nearest integer for that week if the temperatures were: -2, -5, 6, 10, -3, 0, 19.

4

Clint kept track of his calorie intake and use during one day. He ate a light breakfast of 1,200 calories and then went for a 5 mile run. The run burned a total of 786 calories. He ate an apple, which had 90 calories. He played a game of table tennis, which burned off 276 calories. He went out to lunch and consumed 2,700 calories. He decided to go for a brisk walk that burned 200 calories. He had a late dinner of 4,200 calories. His basic metabolism used 2,745 calories. What was the end result in calories for Clint?

4,183 calories

A farmer bought 120 piglets at the local auction. He was able to raise 115 of them to market weight. What percent, to the nearest tenth percent, of loss did he incur?

4.2%

(F-Make the temperature conversion of 40°F to °C. Use the formula: C =5/9 (F-32)

4.4°C

Determine the portion if the base is 56 and the rate is 112%.

62.72

Determine which of the symbols, <, =, >, if placed in the blank would yield the correct answer: -6^2 _____ -2^2(-3)^2

=

Identify the correct order of operations.

Parentheses, exponents, multiplications and divisions, additions and subtractions

Rolland's pay stub showed a 10% deduction for state tax, a 28% deduction for federal taxes, 6.6% for social security tax, a 7% pension plan deduction, a $150 annuity plan deduction. His gross pay for the month was $2,742.44. What was his net pay?Select one:

$1,177.34

Jose buys a few snacks to take to a party. He buys 1 can of large pitted olives at $.79, 1 can of mixed nuts at $3.99, a huge bag of potato chips at $3.29, and a 12-pack of soda pop at $2.99. How much did he pay at the checkout stand?

$11.06

If the local sales tax rate is 5.5% and an additional motel tax of 4.8% is charged to a $145 room, what is the total room bill?

$159.94

Estimate the sum by rounding addends to whole numbers. Then use a calculator to find the exact sum: $45.22, $39.99, $4.15, $95.66 and $101.02.

$286; $286.04

As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover the cost up to $315. His math book cost $68.41, biology text was $105.35, literature text cost $72.49, and the AutoCAD text was $59.91. What rounded sum did James determine? Could he buy all his books at this time?

$310; yes

Write 246/100 in decimal form.

2.46

The blueprint specification for a machined part calls for its thickness to be 2.584 in. with a tolerance of ±0.050 in. What are the limit dimensions of the part?

2.634 and 2.534

Change 2.5 to its fractional equivalent and reduce to lowest terms.

2/1/2

Find the area of the shaded region.

20 ft2

A secretary had four copy jobs to do for the office. She had exactly one ream (500 sheets per ream) of paper. She rounded to the nearest ten and decided she would be able to finish all four jobs. If the first job needs 122 sheets, the second job uses 247, the third job uses 55, and the fourth job needs 80 sheets, did she finish them all?

no; estimation is 510

Multiply (8/9) * (3/4) * (3/10)

1/5

Multiply: 403 × 27

10,881

Multiply and reduce answers to lowest terms`(7/8) * (15/32)

105/256

Estimate the sum by rounding to the nearest whole number: 2.78 + 8.48

11

If a business sends out 2,000 brochures to a list of customers and expects to lose 350 of them to mail changes, what percent is lost?

17.5%

Write the prime factors of 360 in exponential notation.

2^3×3^2×5

Perform the indicated operation, leaving the answer in lowest terms: (2/3/4) * (1/1/5)

3/3/10

An average person burns off 100 calories if they bicycle for 15 minutes at 9 mph. There are approximately 3,500 calories in one pound. Harry signed up at the local fitness center and spent 45 minutes on the stationary bicycle pedaling at a steady rate of 9 mph. How many calories did he burn? Did he use up a pound?

300 calories; no

Estimate, by rounding to the nearest foot, how many square feet of carpet should be purchased to cover the floor of a rectangular room that measures 28.2 feet by 19.9 feet.

560 square feet

A heat pump unit allows a 5% room temperature drop before it starts back up. If the room temperature is 72°, what temperature does it drop to before the heat pump kicks in?

68.4°