Problem 2
Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(4 x+8 x-2 x=20-15\)
Problem 4
Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{x}{-5}=8$$
Problem 7
Graph the solutions of each inequality on a number line. $$x \leq 4.5$$
Problem 9
A triangle has a base of 5 feet and an area of 20 square feet Find the triangle's height.
Problem 9
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of four and twice a number is \(56 .\) Find the number.
Problem 20
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If the quotient of three times a number and four is decreased by three, the result is nine. Find the number.
Problem 32
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 8 is \(40 \%\) of what?
Problem 32
Use the relationship among the three angles of any triangle to solve. One angle of a triangle is three times as large as another The measure of the third angle is \(40^{\circ}\) more than that of the smallest angle. Find the measure of each angle.
Problem 33
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) \(24 \%\) of what number is \(40.8 ?\)
Problem 35
One angle of a triangle is twice as large as another. The measure of the third angle is \(20^{\circ}\) more than that of the Smallest angle. Find the measure of each angle.