The dimensions of a rectangular piece of paper
are 10.5 inches and 10
inches. Ben folded the piece
of paper along its diagonal.
Find the length of the
diagonal in inches.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Problem melissa is her dad build a walkway in their backyard. the walkway will be 54 feet long and 1.5 feet wide. the local hardware store sells tiles which are 1.5 by 1.5 feet and come in boxes of 12. how many boxes of tiles do they need?

Graph the following system of linear inequalities. identify at least two points in the solution: y < 5 - 2x | x + 5y > -7