Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes? Solve this problem using a unit rate. (1 point)
Responses
6 school-supply kits
6 school-supply kits
150 school-supply kits
150 school-supply kits
10.67 school-supply kits
10.67 school-supply kits
9,600 school-supply kits
To solve this problem using a unit rate, we need to find the rate at which the volunteers put together school-supply kits.
They put together 40 kits in 8 minutes, so the unit rate is:
40 kits / 8 minutes = 5 kits/minute
To find out how many kits they can put together in 30 minutes, we can use the unit rate:
5 kits/minute * 30 minutes = 150 kits
Therefore, the volunteers can put together 150 school-supply kits in 30 minutes.
The correct answer is 150 school-supply kits.
Brian can read 80 pages in 2 hours. How many pages can he read in 3.5 hours? (1 point)
Responses
560 pages
560 pages
45.71 pages
45.71 pages
11.43 pages
11.43 pages
140 pages
To solve this problem, we can use a unit rate.
Brian can read 80 pages in 2 hours.
To find out how many pages he can read in 1 hour, we divide the total number of pages by the total number of hours:
80 pages / 2 hours = 40 pages/hour
Now, we can use this unit rate to find out how many pages Brian can read in 3.5 hours:
40 pages/hour * 3.5 hours = 140 pages
Therefore, Brian can read 140 pages in 3.5 hours.
The correct answer is 140 pages.
In 10 seconds, the surface of the earth at the equator has moved 4,600 meters. How far has the surface moved in 150 seconds?(1 point)
Responses
69,000 meters
69,000 meters
3.07 meters
3.07 meters
306.67 meters
306.67 meters
6,900,000 meters
To solve this problem, we can use a unit rate.
In 10 seconds, the surface of the earth at the equator has moved 4,600 meters.
To find out how far the surface has moved in 1 second, we divide the total distance by the total time:
4,600 meters / 10 seconds = 460 meters/second
Now, we can use this unit rate to find out how far the surface has moved in 150 seconds:
460 meters/second * 150 seconds = 69,000 meters
Therefore, the surface of the earth at the equator has moved 69,000 meters in 150 seconds.
The correct answer is 69,000 meters.
Grace ran a 26-mile marathon in 4 hours. How far did Grace run in 1.5 hours?(1 point)
Responses
4.33 miles
4.33 miles
156 miles
156 miles
9.75 miles
9.75 miles
69.33 miles
To solve this problem, we can use a unit rate.
Grace ran a 26-mile marathon in 4 hours.
To find out how far she ran in 1 hour, we divide the total distance by the total time:
26 miles / 4 hours = 6.5 miles/hour
Now, we can use this unit rate to find out how far Grace ran in 1.5 hours:
6.5 miles/hour * 1.5 hours = 9.75 miles
Therefore, Grace ran 9.75 miles in 1.5 hours.
The correct answer is 9.75 miles.
In 5 hours the Acela Express, the fastest train in North America, traveled 775 miles. How far did it travel in 8 hours?(1 point)
Responses
19.375 miles
19.375 miles
31,000 miles
31,000 miles
1,240 miles
1,240 miles
484.375 miles
To solve this problem, we can use a unit rate.
In 5 hours, the Acela Express traveled 775 miles.
To find out how far it traveled in 1 hour, we divide the total distance by the total time:
775 miles / 5 hours = 155 miles/hour
Now, we can use this unit rate to find out how far the Acela Express traveled in 8 hours:
155 miles/hour * 8 hours = 1240 miles
Therefore, the Acela Express traveled 1240 miles in 8 hours.
The correct answer is 1240 miles.
To solve this problem using a unit rate, we need to determine how many school-supply kits are put together per minute.
Given that volunteers put together 40 school-supply kits in 8 minutes, we can find the unit rate by dividing the total number of kits by the time taken.
Unit Rate = Total number of school-supply kits ÷ Time taken
Unit Rate = 40 kits ÷ 8 minutes
Unit Rate = 5 kits per minute
Now that we have the unit rate, we can determine how many kits can be put together in 30 minutes by multiplying the unit rate by the given time.
Number of school-supply kits = Unit Rate × Time taken
Number of school-supply kits = 5 kits per minute × 30 minutes
Number of school-supply kits = 150 kits
Therefore, volunteers can put together 150 school-supply kits in 30 minutes.