A hotel installs dual-flush toilets to help conserve water. The new toilets use 1.6 gallons for one full flush and 0.9 gallons for one partial flush. Measurements show that in the first week there were 1,190 full flushes and 3,150 partial flushes. How many gallons of water were saved for the week compared to a week in which all the flushes were full flushes?

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?