Safety goggles function best at room temperature, or 75° F. A pair of special safety goggles can function at temperatures that differ from this value by at most 41.3° F. Write and solve an absolute-value inequality to
find the range of acceptable temperatures.

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?

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !

Find the maximum value of p= 4x + 5y subject to the following constraints :