DVD case are 9/16 inch wide. If Juan has 60 DVDs, 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.
help plzz! asap
To find out how many DVDs will fit on one shelf, we need to divide the total width of the shelf by the width of a single DVD case.
The width of each DVD case is given as 9/16 inch. To convert this to feet, we need to divide it by 12 since there are 12 inches in one foot. Thus, the width of each DVD case in feet is (9/16) / 12 = 0.046875 feet.
Now, we know the width of a single DVD case in feet, but we need to find out how many DVD cases can fit on one shelf.
Let's assume the width of the shelf is W feet. To determine how many DVD cases fit on the shelf, we divide the width of the shelf by the width of a single DVD case:
Number of DVDs on one shelf = W / (9/16) inches = W / 0.046875 feet
Since we want to know how many DVDs will fit on one shelf, let's solve for W:
W = (Number of DVDs on one shelf) * 0.046875 feet
Given that Juan has 60 DVDs, we can substitute this value:
W = (60) * 0.046875 feet
Simplifying this expression, we find:
W = 2.8125 feet
Therefore, the shelf needs to be 2.8125 feet wide in order to fit 60 DVDs.
I hope this explanation helps! Let me know if you have any more questions.