fifteen-foot board is cut into 2 1/3

foot long pieces for a bookcase.
After as many pieces are cut, how long is the remaining piece?

2 1/3x = 7/3x = 15

x = 6.43

.43 * 7/3 = ?

A fifteen foot board is cut into three lengths. The first piece is one foot shorter than the third piece. The second piece is two feet longer than 13the length of the third piece. What is the length of the third piece?

5

The product of a number and 7, decreased by the number is equal to 42. Find the number.

Where would you cut a board that measures 3 ft 1 1/2 in to divide it into two equal pieces?

To find the length of the remaining piece, we need to subtract the total length of the pieces that have been cut from the original length of the board.

First, let's convert the length of the board from feet to inches, as fractions of feet can be easier to work with in inches. Since there are 12 inches in a foot, a 15-foot board is equal to 15 * 12 = 180 inches.

Next, we need to calculate the total length of the pieces cut for the bookcase. Each piece is 2 1/3 feet long, which is equal to (2 + 1/3) feet. To convert this to inches, we multiply 2 1/3 by 12:

(2 + 1/3) * 12 = (6/3 + 1/3) * 12 = (7/3) * 12 = 7 * 4 = 28 inches

Now, we can subtract the length of the cut pieces from the total length of the board:

180 inches - 28 inches = 152 inches

Therefore, the remaining piece is 152 inches long.