Question

A machine can fill 5,400 bottles in 3 hours. How many bottles can it fill in 8 hours?(1 point)

To find out the number of bottles the machine can fill in 8 hours, we can set up a proportion:

5,400 bottles / 3 hours = x bottles / 8 hours

Cross-multiply and solve for x:

3 * x = 5,400 * 8

3x = 43,200

x = 43,200 / 3

x = 14,400

Therefore, the machine can fill 14,400 bottles in 8 hours.

Tatyana can text 225 words in 5 minutes. How many words can Tatyana text in 12 minutes?(1 point)

words

To find out how many words Tatyana can text in 12 minutes, we can set up a proportion based on the information given:

225 words / 5 minutes = x words / 12 minutes

Cross-multiply and solve for x:

5 * x = 225 * 12

5x = 2,700

x = 2,700 / 5

x = 540

Therefore, Tatyana can text 540 words in 12 minutes.

Brian ran a 5-kilometer race in 40 minutes. How far did he run in 18 minutes? Write your answer as a decimal and do not round.(1 point)

To find out how far Brian ran in 18 minutes, we can set up a proportion based on the information given:

5 kilometers / 40 minutes = x kilometers / 18 minutes

Cross-multiply and solve for x:

40 * x = 5 * 18

40x = 90

x = 90 / 40

x = 2.25

Therefore, Brian ran 2.25 kilometers in 18 minutes.

In 3 hours, the Johnson family traveled 195 miles by car. How far will they travel in 5 hours?(1 point)

To find out how far the Johnson family will travel in 5 hours, we can set up a proportion:

195 miles / 3 hours = x miles / 5 hours

Cross-multiply and solve for x:

3 * x = 195 * 5

3x = 975

x = 975 / 3

x = 325

Therefore, the Johnson family will travel 325 miles in 5 hours.