Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.
1. Working together, two water pumps A and B can fill a water tank in 3 hours. Working alone pump A can fill the tank in 4 hours. How long does it take pump B, working alone, to fill the same tank?
hours
2. The values of x and y are related by the equation y = k / x, where k is a constant. If y = 45 when x = 3, what is the value of x when y = 180?
3. A rectangle has a length that is one third of its perimeter. The perimeter is 150 meters. What is the area of the rectangle?
4. The square of the sum of two numbers is 289. The product of the two numbers is 66. What is the sum of the squares of the two numbers?
5. In a certain country, in one year, 30% of the total money spent on energy was spent on generating electricity. If 30 billion dollars were spent on energy, how much money was spent on generating electricity?
6. The sum of three consecutive odd integers is 249. Find the largest of these numbers.
7. The sum of two numbers is 3.6 and the difference of these numbers is 1.2. Find the largest of these numbers.
/
8. 20% of what number is 125?
9. The price of a shirt was first decreased by 10% and then decreased a second time by 15%. What was the original price of the shirt if the final price is 22 dollars?(round answer to the nearest cent)
$ /
10. The average of 1/2, 1/4, 2/3 and x is equal to 3/4. Find: