marcus wants to put a 6 1/2 foot bookcase against a 12 1/4 foot wall.if he centers the bookcase, how far will it be from each end of the wall?

To determine how far the bookcase will be from each end of the wall when centered, you can subtract the length of the bookcase from the length of the wall, and then divide the result by 2. Here's how you can calculate it:

First, convert the measurements into the same unit. We can convert the measurements to inches:

The length of the bookcase is 6 1/2 feet, which is equal to 6.5 feet or 78 inches (since there are 12 inches in a foot).

The length of the wall is 12 1/4 feet, which is equal to 12.25 feet or 147 inches.

Now, to find the distance from each end of the wall, subtract the bookcase length from the wall length, and then divide it by 2:

Distance from each end = (Wall length - Bookcase length) / 2
= (147 inches - 78 inches) / 2
= 69 inches / 2
= 34.5 inches

Therefore, if Marcus centers the bookcase against the 12 1/4 foot wall, it will be approximately 34.5 inches away from each end of the wall.