Patrycia’s overall grade in her physics class is based solely on the average of her scores on 6 unit tests. the grade she received on the first 5 tests are as follows: 89, 93, 95, 92, 90. what grade does patrycia need to earn on her 6th unit test to end up with a 90% in the class?
a.
76.5%
b.
81%
c.
90%
d.
92.5%

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?

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Find the smallest number by which the given number should be divided to make a perfect cube(with steps or the answer will get reported) a.108 b.2187