Jerry is a judge. he hears 555 cases every 2\dfrac382 8 3 2, start fraction, 3, divided by, 8, end fraction hours. jerry hears cases at a constant rate. how many cases does he hear per hour?

cases per hour.

Step-by-step explanation:

Let be "x" the number of cases Jerry hears  per hour.

According to the information provided in the exercise, you know that he hears 5 cases every hours.

Convert from mixed number  to improper fraction. The procedure is:

-  Multiply the whole number part by de the denominator of the fraction.

- Add the product to the numerator.

- The denominator does not change.

Then:

 Now you can write the following proportion:

Solving for "x", you get:

Make the conversion to mixed number:

- Dividing the numerator 40 by the denominator 19 you get a quotient of  2 (This will be the whole number part)

- The remainder you get is 2 (This will be the numerator).

- The denominator does not change.

Then:

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6