The copy machine at the library made a copy of Leslie's 3-page essay in just 1/10 of a minute. What is the speed of the copy machine?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
__ pages per minute
To find the speed of the copy machine, we can divide the number of pages copied (3) by the time it took (1/10 of a minute).
3 pages / (1/10 minute) = 3 pages * (10/1 minute) = 30 pages/minute.
Therefore, the speed of the copy machine is 30 pages per minute.
Using her garden hose, Camilla filled up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per minute
To find the rate at which water flows through the hose, we can divide the amount of water filled (4 gallons) by the time it took (1/6 of a minute).
4 gallons / (1/6 minute) = 4 gallons * (6/1 minute) = 24 gallons/minute.
Therefore, the rate at which water flows through the hose is 24 gallons per minute.
Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute. Based on that, what is the approximate speed of sound?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
miles per minute
To find the speed of sound, we can divide the distance traveled (1 mile) by the time it took (1/12 of a minute).
1 mile / (1/12 minute) = 1 mile * (12/1 minute) = 12 miles/minute.
Therefore, the approximate speed of sound is 12 miles per minute.
Rosanne earned $5 for
1
2
of an hour of babysitting. At this rate, how much would Rosanne make in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
$
To find out how much Rosanne would make in 1 hour, we can multiply the amount she earned ($5) by the number of times the fraction 1/2 fits into one hour (which is 2).
$5 * 2 = $10.
Therefore, Rosanne would make $10 in 1 hour.
A teacher's assistant entered 10 scores into the online gradebook in
1
5
of an hour. At that rate, how many scores can she enter in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
scores
To find out how many scores the teacher's assistant can enter in 1 hour, we can multiply the number of scores entered (10) by the number of times the fraction 1/5 fits into one hour (which is 5).
10 * 5 = 50.
Therefore, the teacher's assistant can enter 50 scores in 1 hour.
The Kennedy Middle School cafeteria charges students $3 for
1
6
of a pizza. What is the cost per pizza?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
$
To find the cost per pizza, we can divide the amount charged for 1/6 of a pizza ($3) by the fraction 1/6.
$3 / (1/6) = $3 * (6/1) = $18.
Therefore, the cost per pizza is $18.
The Quinn family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per day
To find the rate at which the Quinn family drinks milk, we can divide the amount of milk used (1/2 gallon) by the number of days it takes to consume that amount (3 days).
1/2 gallon / 3 days = 1/2 gallon * (1/3 days) = 1/6 gallon per day.
Therefore, the Quinn family drinks milk at a rate of 1/6 gallon per day.
The Perry family's pancake recipe uses 2 teaspoons of baking powder for every
1
3
of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
teaspoons of baking powder
To find how much baking powder the Perry family would need if they used 1 teaspoon of salt, we can set up a proportion using the ratio of baking powder to salt.
2 teaspoons of baking powder : 1/3 teaspoon of salt = x teaspoons of baking powder : 1 teaspoon of salt.
Cross-multiplying gives us:
(2 teaspoons of baking powder) * (1 teaspoon of salt) = (x teaspoons of baking powder) * (1/3 teaspoon of salt).
2 teaspoons * 1 teaspoon = x teaspoons * (1/3 teaspoon).
2 = x/3.
Multiplying both sides by 3, we get:
6 = x.
The Perry family would need 6 teaspoons of baking powder if they used 1 teaspoon of salt.
A motorcycle zoomed along the freeway, traveling 10 meters in
1
3
of a second. How fast was it moving?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
meters per second
To find the speed of the motorcycle, we can divide the distance traveled (10 meters) by the time it took (1/3 of a second).
10 meters / (1/3 second) = 10 meters * (3/1 second) = 30 meters/second.
Therefore, the motorcycle was moving at a speed of 30 meters per second.
Mrs. Hancock's famous peanut butter cookies call for 1 cup of peanut butter for every
1
2
of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
cups of peanut butter
To find out how much peanut butter Mrs. Hancock should use when making a huge batch with 1 cup of oil, we can set up a ratio using the given information.
1 cup of peanut butter : 1/2 cup of oil = x cups of peanut butter : 1 cup of oil.
Cross-multiplying gives us:
(1 cup of peanut butter) * (1 cup of oil) = (x cups of peanut butter) * (1/2 cup of oil).
1 cup * 1 cup = x cups * (1/2 cup).
1 = x/2.
Multiplying both sides by 2, we get:
2 = x.
Therefore, Mrs. Hancock should use 2 cups of peanut butter when making the huge batch with 1 cup of oil.
A top swimmer would be able to swim across a 25-meter pool in about
1
5
of a minute. How fast can a top swimmer go?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
meters per minute
To find out how fast a top swimmer can go, we need to divide the distance swum (25 meters) by the time taken (1/5 of a minute).
25 meters / (1/5 minute) = 25 meters * (5/1 minute) = 125 meters/minute.
Therefore, a top swimmer can go approximately 125 meters per minute.
Sparkle Cleaners uses
2
3
of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
jugs
To find out how much window cleaner Sparkle Cleaners uses in 1 week, we can divide the amount used in 3 weeks (2/3 of a jug) by 3.
(2/3 of a jug) / 3 = 2/3 of a jug * (1/3) = 2/9 of a jug.
Therefore, Sparkle Cleaners uses 2/9 of a jug of window cleaner in 1 week.
When Mr. Blake preheated his oven, the oven's temperature rose 3 degrees in
1
6
of a minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
degrees
To find out how much the oven will heat up in 1 minute, we can multiply the rate of temperature increase (3 degrees) by the number of times the fraction 1/6 fits into 1 minute (which is 6).
3 degrees * 6 = 18 degrees.
Therefore, the oven will heat up by 18 degrees in 1 minute.
A busy customer service agent handled 20 emails in
1
4
of a day. At that rate, how many emails could he handle in 1 day?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
emails