Chapter 2
Introductory and Intermediate Algebra for College Students 4th · 562 exercises
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 \(40.8 ?\)
4 step solution
Problem 34
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions
4 step solution
Problem 34
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$x-\frac{1}{3} \geq \frac{5}{6}$$
3 step solution
Problem 34
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-3 y+4=13$$
4 step solution
Problem 34
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$r+\frac{3}{5}=-\frac{7}{10}$$
4 step solution
Problem 34
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{3 x}{4}-9=-6\)
4 step solution
Problem 34
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) \(32 \%\) of what number is \(51.2 ?\)
4 step solution
Problem 35
An American football field is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. Find the width and length of the rectangular field.
4 step solution
Problem 35
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$y+\frac{7}{8} \leq \frac{1}{2}$$
3 step solution
Problem 35
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-3 y-7=-1$$
3 step solution
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.
4 step solution
Problem 35
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$5=-13+y$$
3 step solution
Problem 35
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{2 y}{3}-\frac{3}{4}=\frac{5}{12}\)
3 step solution
Problem 35
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 3 is what percent of \(15 ?\)
3 step solution
Problem 36
A basketball court is a rectangle with a perimeter of 86 meters. The length is 13 meters more than the width. Find the width and length of the basketball court.
5 step solution
Problem 36
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$y+\frac{1}{3} \leq \frac{3}{4}$$
3 step solution
Problem 36
One angle of a triangle is three times as large as another. The measure of the third angle is \(30^{\circ}\) greater than that of the smallest angle. Find the measure of each angle.
5 step solution
Problem 36
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-2 y-5=7$$
3 step solution
Problem 36
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-11=8+x$$
2 step solution
Problem 36
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{3 y}{4}-\frac{2}{3}=\frac{7}{12}\)
3 step solution
Problem 36
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 18 is what percent of \(90 ?\)
4 step solution
Problem 37
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$-15 y+13>13-16 y$$
3 step solution
Problem 37
Find the measure of the complement of each angle. $$58^{\circ}$$
3 step solution
Problem 37
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$12=4 z+3$$
3 step solution
Problem 37
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-\frac{3}{5}=-\frac{3}{2}+s$$
4 step solution
Problem 37
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{x}{3}+\frac{x}{2}=\frac{5}{6}\)
4 step solution
Problem 37
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What percent of 2.5 is \(0.3 ?\)
4 step solution
Problem 38
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$-12 y+17>20-13 y$$
3 step solution
Problem 38
Find the measure of the complement of each angle. $$41^{\circ}$$
2 step solution
Problem 38
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$14=5 z-21$$
3 step solution
Problem 38
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$\frac{7}{3}=-\frac{5}{2}+z$$
4 step solution
Problem 38
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{x}{4}-\frac{x}{5}=1\)
3 step solution
Problem 38
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What percent of 7.5 is \(0.6 ?\)
4 step solution
Problem 39
After a \(20 \%\) reduction, you purchase a television for 320 dollar What was the television's price before the reduction?
3 step solution
Problem 39
Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$\frac{1}{2} x<4$$
3 step solution
Problem 39
Find the measure of the complement of each angle. $$88^{\circ}$$
3 step solution
Problem 39
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$830+y=520$$
3 step solution
Problem 39
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-x-3=3$$
3 step solution
Problem 39
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(20-\frac{z}{3}=\frac{z}{2}\)
4 step solution
Problem 39
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 5 is increased to \(8,\) the increase is what percent of the original number?
3 step solution
Problem 40
After a \(30 \%\) reduction, you purchase a DVD player for 98 dollar What was the price before the reduction?
3 step solution
Problem 40
Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$\frac{1}{2} x>3$$
3 step solution
Problem 40
Find the measure of the complement of each angle. $$2^{\circ}$$
3 step solution
Problem 40
Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-90+t=-35$$
4 step solution
Problem 40
Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-x-5=5$$
3 step solution
Problem 40
Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{z}{5}-\frac{1}{2}=\frac{z}{6}\)
3 step solution
Problem 40
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 5 is increased to \(9,\) the increase is what percent of the original number?
3 step solution
Problem 41
This year's salary, 50,220 dollar is an \(8 \%\) increase over last year's salary. What was last year's salary?
4 step solution
Problem 41
Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$\frac{x}{3}>-2$$
2 step solution
Problem 41
Find the measure of the supplement of each angle. $$132^{\circ}$$
2 step solution