Question

Question

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

Answer 1

To find out how many bottles the machine can fill in 8 hours, we can use a proportion.

We know that the machine can fill 5,400 bottles in 3 hours.

Let's set up the proportion:

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

To solve for x, we can cross multiply:

3 * x = 5,400 * 8

3x = 43,200

Now, we can divide both sides by 3 to find x:

x = 43,200 / 3

x = 14,400

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

Answer 2

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

Answer 3

To find out how many words Tatyana can text in 12 minutes, we can use a proportion.

We know that Tatyana can text 225 words in 5 minutes.

Let's set up the proportion:

225 words / 5 minutes = x words / 12 minutes

To solve for x, we can cross multiply:

5 * x = 225 * 12

5x = 2,700

Now, we can divide both sides by 5 to find x:

x = 2,700 / 5

x = 540

Therefore, Tatyana can text 540 words in 12 minutes.

Answer 4

In 4 hours, a comet that is far from the sun usually travels 8,000 miles. How far will the comet travel in 10 hours?(1 point)
miles

Answer 5

To find out how far the comet will travel in 10 hours, we can use a proportion.

We know that in 4 hours, the comet travels 8,000 miles.

Let's set up the proportion:

8,000 miles / 4 hours = x miles / 10 hours

To solve for x, we can cross multiply:

4 * x = 8,000 * 10

4x = 80,000

Now, we can divide both sides by 4 to find x:

x = 80,000 / 4

x = 20,000

Therefore, the comet will travel 20,000 miles in 10 hours.

Answer 6

Question
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)
$$

Answer 7

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

We know that Brian ran a 5-kilometer race in 40 minutes.

Let's set up the proportion:

5 kilometers / 40 minutes = x kilometers / 18 minutes

To solve for x, we can cross multiply:

40 * x = 5 * 18

40x = 90

Now, we can divide both sides by 40 to find x:

x = 90 / 40

x = 2.25

Therefore, Brian ran 2.25 kilometers in 18 minutes.

Answer 8

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

Answer 9

To find out how far the Johnson family will travel in 5 hours, we can use a proportion.

We know that in 3 hours, the Johnson family traveled 195 miles.

Let's set up the proportion:

195 miles / 3 hours = x miles / 5 hours

To solve for x, we can cross multiply:

3 * x = 195 * 5

3x = 975

Now, we can divide both sides by 3 to find x:

x = 975 / 3

x = 325

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