Dvd cases are 9/16 inch wide . A. If Juan has 60 DVD how many of them will fit on one shelf? How wide would a DVD case have to be in order for 60 of them to fit on one shelf? Give the answer in feet

Howlong is the shelf?

21/2 feet long

To find out how many DVD cases will fit on one shelf, we need to divide the width of the shelf by the width of a DVD case.

A. The width of a DVD case is given as 9/16 inch.

To determine how many DVD cases will fit on one shelf, divide the width of the shelf by the width of a DVD case:
Number of DVD cases = Width of the shelf / Width of a DVD case

Let's assume the width of the shelf is W inches. Therefore, the number of DVD cases that will fit on one shelf is:
Number of DVD cases = W inches / (9/16 inches)

To convert this fraction division into a simple division, we can multiply the numerator by the reciprocal of the denominator:
Number of DVD cases = W inches * (16/9 inches)

Now, if Juan has 60 DVDs, we can determine how many shelves he will need by dividing the total number of DVDs by the number of DVDs that can fit on one shelf:
Number of shelves = Total number of DVDs / Number of DVD cases

To find out the width of a DVD case in order for 60 of them to fit on one shelf, we rearrange the formula:
Width of a DVD case = Width of the shelf / Number of DVD cases

Now let's convert the answer from inches to feet. Since there are 12 inches in a foot, we divide the result by 12:
Width of a DVD case in feet = Width of a DVD case in inches / 12

Remember to substitute the appropriate values of W (width of the shelf) and the given DVD case width to calculate the final answers.