91Ó°ÊÓ

Set up an equation and solve each problem. (Objectives 2 and 3) Find the cost of a \(\$ 4800\) wide-screen high-definition television that is on sale for \(25 \%\) off.

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) Find the total surface area and volume of a sphere that has a radius 9 inches long. Express the answers in terms of \(\pi\).

Set up an equation and solve each problem. (Objectives 2 and 3) Byron purchased a computer monitor at a \(10 \%\) discount sale for \(\$ 121.50\). What was the original price of the monitor?

Solve each of the equations. $$\frac{x-5}{3}+2=\frac{5}{9}$$

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) A circular pool is 34 feet in diameter and has a flagstone walk around it that is 3 feet wide (see Figure 4.19). Find the area of the walk. Express the answer in terms of \(\pi\).

Suppose that 20 gallons of a \(20 \%\) salt solution is mixed with 30 gallons of a \(25 \%\) salt solution. What is the percent of salt in the resulting solution?

The second side of a triangle is 3 meters shorter than twice the first side. The third side is 4 meters longer than the second side. If the perimeter is 58 meters, find the length of each side of the triangle.

Solve each of the equations. $$\frac{n}{150-n}=\frac{1}{2}$$

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) Find the volume and total surface area of a right circular cylinder that has a radius of 8 feet and a height of 18 feet. Express the answers in terms of \(\pi\).

The perimeter of an equilateral triangle is 4 centimeters more than the perimeter of a square, and the length of a side of the triangle is 4 centimeters more than the length of a side of the square. Find the length of a side of the equilateral triangle. (An equilateral triangle has three sides of the same length.)