A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?

Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

An auction housecharges a commission of 15 percent on the first $50,000 of the sale price of anitem, plus 10 percent on the amount of the sale price in excess of$50,000. What was the sale price of apainting for which the auction house charged a total commission of $24,000 ?

Mary purchased 3theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases a fourth theaterticket with a price of $16, what is the average price of all 4 theater tickets?

Circular gears P andQ start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute, andgear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have madeexactly 6 more revolutions than gear P ?

Which of the following is an integer?

I. ~$\frac{12!}{6!}$~

II. ~$\frac{12!}{8!}$~

III. ~$\frac{12!}{7!5!}$~

The table above shows the distribution of scores on a geography quiz given to a class of 25 students. Which of the following isclosest to the average (arithmetic mean) quiz score for the class?

A certain city with apopulation of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?

If ~$x\neq 0$~, then ~$\frac{\sqrt{x^{2}}}{x}$~ =