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Question:

Light travels 744,000 miles in 4 seconds. What is its speed in miles per second?

A 186,000

explanation

The speed (rate) is 744,000 miles/4seconds. Dividing 4 into 744,000 gives you 186,000 miles per second.

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Jack loaned Bob $1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack?

$1,605

1,500 x .07= 105
105 + 1500= 1605 dollars

Kyle ran 3 miles in 17(1/2) minutes on Saturday, 4(1/2) miles in 22 minutes on Sunday, and 2 miles in 9 minutes on Monday. What was Kyle’s average rate of speed while running?

5.1 minutes per mile

Average is the total time divided by the total miles run. The total time is 17.5 + 22 + 9 = 48.5 minutes. The total number of miles run is 3 + 4.5 + 2 = 9.5. The average is 48.5/9.5 =5.1 minutes per mile.

Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What are her total earnings for a 45-hour work week?

$399

The overtime rate is $8.40 × 1.5 = $12.60. Five hours of overtime were completed, so the total earnings are ($8.40 × 40) + ($12.60 × 5) = $336 + $63 = $399.

Joan is taking an admissions examination. If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?

66 ²/₃%

Divide the number of questions she must get right (40) by the total number of questions (60) to reach 66²/₃ %.

On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map?

2(1/2) centimeters

The proportion 1cm/4miles =x cm/10miles models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and x=10/4=2(1/2).

Melodi eats 3/8 of a pizza and divides the rest between her two friends. What percentage of the pizza do her friends each receive?

31.25%

If 3/8 of the pizza is eaten, then 1 - 3/8 = 5/8 remains. If that is divided by 2, then each receives 5/8 ÷2 = 5/8 x 1/2 = 5/16 = 0.3125 = 31.25%.

One phone plan charges a $20 monthly fee and $0.08 per minute on every phone call made. Another phone plan charges a $12 monthly fee and $0.12 per minute for each call. After how many minutes would the charge be the same for both plans?

200 minutes

Let m represent the minutes of the phone calls. The monthly charge for the first plan is 20 + 0.08m. The monthly charge for the second plan is 12 + 0.12m. When the monthly charges are the same, 20 + 0.08m = 12 + 0.12m.
20 + 0.08m – 0.08m = 12 + 0.12m – 0.08m
20 = 12 + 0.04m
20 – 12 = 12 + 0.04m – 12
8/. 004=800/4 = 200 minutes

Janet’s old pickup truck can only reach a speed of 45 miles per hour. If she drives at top speed, how long will it take her to reach a city 135 miles away?

3 hours

Divide the distance (135 miles) by the speed (45 miles per hour) to determine that Janet will take 3 hours to reach the city.

Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?

$7.50

Subtract the sale price from the regular price: $24.00 – $22.50 = $1.50. Multiply the remainder by the number of cases to get your answer: $1.50 × 5 = $7.50.

Mark received an hourly wage of $9.25. His boss gave him a 4% raise. How much does Mark make per hour now?

$9.62

To calculate the new wage, start off by taking $9.25 × 0.04 = $0.37. Then add that number (the amount of Mark’s raise) to his original hourly wage. Mark’s new hourly wage is $9.25 + $0.37 = $9.62.

Roger collects bottle caps. Each cap can be traded for 5 cents. If Roger receives $40.50, how many bottle caps did he trade?

810

Let c represent the number of caps traded in. Then 0.05c = 40.50 and c = 40.50/0.05= 810 caps.

Junior has saved money in his piggybank over the winter. He wants to buy a $30 computer game. If he has 14 one-dollar bills, 16 half dollars, 12 quarters, 8 dimes, 25 nickels, and 10 pennies, how much more does he need to borrow from Dad to buy the game?

$2.85

Convert the change to dollars or fractions of dollars and add:
14 dollars = $14.00
16 half dollars = $8.00
12 quarters = $3.00
8 dimes = $0.80
25 nickels = $1.25
10 pennies = $0.10
----------
Sum = $27.15
Subtract the total from $30.00 to determine how much money Junior has to borrow: $30.00 – $27.15 = $2.85.

Janet is trying to watch her weight. A ¹/₂ cup of pudding has 150 calories. The same amount of broccoli has 60 calories. How much broccoli can Janet eat to equal the same number of calories in the ¹/₂ cup of pudding?

1¹/₄ cups

Divide the number of calories in the pudding by the number of calories in the broccoli: 150 ÷ 60 = 2¹/₂. Janet can eat 2¹/₂ times the amount of broccoli as she can eat pudding for the same number of calories. Multiply 2¹/₂ by ¹/₂ cup (the amount of pudding that contains 150 calories) to find how many cups of broccoli she can eat for 150 calories: 2.5 × 0.5 = 1.25 or 1¹/₄ cups.

Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is correctly expressed as:

7/10

The total number of quizzes is 10. If he passed seven of them, the fraction would be expressed as 7/10.