Question

Jerry is a judge. He hears 5 cases every 2\dfrac382 8 3 ? hours. Jerry hears cases at a constant rate. How many cases does he hear per hour?

Answer 1

The answer is 40/19 Khan Academy

hope this helped

Answer 2

`(40)/(19)\text{ or }2(2)/(19)` cases per hour.

Explanation:

We are told that Jerry hears 5 cases every
`2(3)/(8)` hours.

To find the number of cases that Jerry hears per hour let us divide 5 by
`2(3)/(8)`.

`\text{Jerry hears cases per hour}=5/ 2(3)/(8)`

Let us convert our mixed fraction into improper fraction.

`\text{Jerry hears cases per hour}=5/ (19)/(8)`

Since dividing a number by a fraction is same as multiplying the number by the reciprocal of the fraction.

`\text{Jerry hears cases per hour}=5* (8)/(19)`

`\text{Jerry hears cases per hour}=(40)/(19)`

`\text{Jerry hears cases per hour}=2(2)/(19)`

Therefore, Jerry hears
`(40)/(19)\text{ or }2(2)/(19)` cases per hour.