Write an equation to represent the following statement.

The product of 12 and k is 84.

Solve for k.

k=

There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls available in the gym to throw. What is the population density of the balls in the gym (balls per square foot) ?

If squared 61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triangle. Write your answer in simplest radical form.

Simplify the expression - 4x (6x - 7) A. 24x2 - 28x B. -24x2 - 28x C. -24x2 + 28x D. 24x2 + 28x

The heights in inches of seven basketball players are listed below. 70, 74, 80, 86, 77, 85, 81 What is the interquartile range of the heights? A. 11 B. 10 C. 12 D. 79

4 (1-x) + 2x=3 (x+1) solve for x.

Which best describes a way in which Naturalism differs from Realism? A. Characters are idealized. B. The effect of society and heredity on character is explored. C. The importance of nature is emphasized over that of humanity. D.

Find the equation of the line that cuts the y axis at y=-9 and whose slope is 1/7.

Math is often used to determine the correct dosage for medications; create scale drawings; graph data from scientific investigations. Given this information, what conclusion can be made about mathematics? A.

A car is 200 km from its destination after 1 hour and 80 km from its destination after 3 hours.

Consider the equation x-3=5. a. Multiply both sides of the equation by a constant, and show that the solution set did not change. Now, multiply both sides by x. b. Show that x=8 is still a solution to the new equation.