Elizabeth and daniel are starting competing coffee roasting businesses. they each first buy a large coffee roasting machine and then spend money to buy coffee beans as they need them.

for daniel, these costs can be described by the equation y = 7x + 55 where y is total cost in thousands of dollars and x is the number of tons of coffee beans roasted.

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?

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2