A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
feet per month
The rate of growth is found by dividing the total growth (2/3 of a foot) by the time it took to grow (3 months).
So, the rate of growth is (2/3)/(3) = 2/9 feet per month.
Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1/2 of an hour. How many square feet could the robot vacuum clean in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
__square feet
To find out how many square feet the robot vacuum can clean in 1 hour, we need to multiply the area cleaned in 1/2 of an hour (150 square feet) by 2.
150 square feet * 2 = 300 square feet
Therefore, the robot vacuum can clean 300 square feet in 1 hour.
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
miles per minute
To find Jen's speed, we need to divide the distance she traveled (1/5 of a mile) by the time it took her to travel that distance (5 minutes).
So, Jen's speed is (1/5)/(5) = 1/25 miles per minute.
To make banana bread, Colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
cups of brown sugar
To find out how much brown sugar Colin should use to make a small batch with only 1 cup of flour, we can set up a proportion.
The proportion can be set up as follows:
(3/4) cups of brown sugar / (2) cups of flour = x cups of brown sugar / (1) cup of flour
Cross-multiplying and solving for x, we get:
(3/4) * (1) = x * (2)
3/4 = 2x
Dividing both sides of the equation by 2, we find:
x = (3/4) / 2
x = 3/8
Therefore, Colin should use 3/8 cups of brown sugar to make a small batch with only 1 cup of flour.
A school janitor has mopped 1/3 of a classroom in 5 minutes. At what rate is he mopping?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
classrooms per minute
To find the rate at which the janitor is mopping, we need to divide the portion of the classroom that has been mopped (1/3) by the time it took to mop that portion (5 minutes).
So, the rate is (1/3) / 5 = 1/15 classrooms per minute.
A team of painters is painting all the homes in a new neighborhood. So far, they have painted 3/4 of a house in 4 days. At what rate are they painting?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
houses per day