91Ó°ÊÓ

Solve each of Problems \(47-62\) by setting up. A car leaves a town at 60 kilometers per hour. How long will it take a second car, traveling at 75 kilometers per hour, to catch the first car if it leaves 1 hour later?

Solve each inequality and express the solution set using interval notation. \(3(x+2)-4(x-1)<6\)

Solve each of Problems \(47-62\) by setting up. Bret started on a 70-mile bicycle ride at 20 miles per hour. After a time he became a little tired and slowed down to 12 miles per hour for the rest of the trip. The entire trip of 70 miles took \(4 \frac{1}{2}\) hours. How far had Bret ridden when he reduced his speed to 12 miles per hour?

Solve each inequality and express the solution set using interval notation. \(-3(3 x+2)-2(4 x+1) \geq 0\)

Use an algebraic approach to solve each problem. The difference of two numbers is 67 . The larger number is three less than six times the smaller number. Find the numbers.

For Problems \(57-67\), solve each problem by setting up and solving an appropriate inequality. Suppose that Lance has \(\$ 500\) to invest. If he invests \(\$ 300\) at \(9 \%\) interest, at what rate must he invest the remaining \$200 so that the two investments yield more than \(\$ 47\) in yearly interest?

Solve each equation and express the solutions in decimal form. Be sure to check your solutions. Use your calculator whenever it seems helpful. \(0.7 n+1.4=3.92\)

Solve each equation and inequality by inspection. \(|3 x-1|>-2\)

Use an algebraic approach to solve each problem. If the complement of an angle is \(5^{\circ}\) less than one-sixth of its supplement, find the measure of the angle.

Solve each of Problems \(47-62\) by setting up. How many gallons of a \(12 \%\)-salt solution must be mixed with 6 gallons of a \(20 \%\)-salt solution to obtain a \(15 \%\)-salt solution?