Acarpenter uses four nails to install each shelf. complete the table to represent the relationship between the number of nails (n) and the number of shelves (s). write the ratio that describes the number of nails per number of shelves. write as many different equations as you can that describe the relationship between the two quantites.

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?

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?

Which graph has figures that can undergo a similarity transformation to justify that they are similar? (obviously not the third one)