It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose. It take both hoses working togetger 15 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

For each sentence below, find the value of x that makes each sentence true. (515) 5 = 25* x= (813)2 = 4* x=

If the equation of a line containing the midsegment of a triangle is y = -1/4x -11, what is the slope of the triangle side that is opposite the midsegment (the one not touching it). explain how you know.