If a glass pitcher can hold one-third of a gallon of fruit juice, how much fruit juice will seven glass pitchers hold?

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?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?