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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 2.2, Problem 52PS

Textbook Problem

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For problems 49-62, use an algebraic approach to solve each problem. (Objective 3)

Suppose that the width of a rectangle is

To determine

**To find:**

The length and width of the rectangle.

Mathematical statement in words can be expressed as an equation by assuming suitable meaningful variable for the unknown values in the statement.

Solving an equation is to find the value of the unknown(s) involved in the equation, such a value is said to be the solution of the equation and which on substitution it should satisfy the equation.

In solving equations which contains fractional terms, the following given steps need to be followed.

STEP 1:

Find the LCM of all the denominators in the equation.

STEP 2:

Multiply the obtained LCM on both sides of the equation.

STEP 3:

Clear all the denominators in the equation by the application of the distributive property and associative property of multiplication.

STEP 4:

Combine the terms of the unknown variables of the equation to be on one side (Left) of the equation and the constants on the other side (Right)

STEP 5:

Focus to obtain the value of the unknown by simplification.

**Calculation:**

Given,

The width of the rectangle is

The perimeter of the rectangle is

Assume a meaningful variable:

Let ‘

Now; the width is given by

Thus,

Guideline for the problem:

Here, the perimeter is given as

Thus, the formula for the perimeter of a rectangle

From the equation:

Here,

‘

Thus,

Apply the distributive property of multiplication over subtraction to the left of the equation.

Multiply the LCM of the all the denominator, which is

Intermediate Algebra

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For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - For Problems 17-40, solve each of the inequalities...Ch. 2.5 - 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For problems 41-70, solve each inequality and...Ch. 2.5 - Thoughts Into Words Do the less than and greater...Ch. 2.5 - Thoughts Into Words Give a step-by-step...Ch. 2.5 - Thoughts Into Words How would you explain to...Ch. 2.5 - Further Investigations Solve each of the following...Ch. 2.6 - For Problems 1-5, answer true or false. 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The...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 6-10, match the compound statement...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 1-18, solve each of the inequalities...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 19-34, graph the solution set for...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 35-44, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 45-56, solve each compound inequality...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - For Problems 57-67, solve each problem by setting...Ch. 2.6 - Explain the difference between a conjunction and a...Ch. 2.6 - How do you know by inspection that the solution...Ch. 2.6 - Find the solution set for each of the following...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. The...Ch. 2.7 - For Problems 1-10, answer true or false. If a...Ch. 2.7 - For Problems 1-10, answer true or false. If a...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 1-16, solve each equation. Objective...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 17-30, solve each inequality and...Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 31-54, solve each inequality....Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - For Problems 55-64, solve each equation and...Ch. 2.7 - Explain how you would solve the inequality 2x+5-3Ch. 2.7 - Why is 2 the only solution for x-20?Ch. 2.7 - Explain how you would solve the equation 2x-3=0.Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Consider the equation x=|y|. This equation will be...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.7 - Use the definition of absolute value to help prove...Ch. 2.S - Solve 6-x+2=54x-2.Ch. 2.S - Solve x3-35=x15.Ch. 2.S - Solve 0.75x-2+0.45x=0.9.Ch. 2.S - Two sides of a triangle are equal in length, and...Ch. 2.S - A clothing store has a coat that originally sold...Ch. 2.S - Solve i=Prt for t given that P=600, r = 2, and i =...Ch. 2.S - Solve P=2l+2w for l.Ch. 2.S - What interest rate would you need to get to double...Ch. 2.S - Express the solution set for x5 in interval...Ch. 2.S - Solve 3x-5x+715.Ch. 2.S - Solve x-32-x-25310.Ch. 2.S - Solve the compound statement x-32 and x-12.Ch. 2.S - Kayla was playing in a 4-game basketball...Ch. 2.S - Solve 3x+7=16.Ch. 2.S - Solve x-810.Ch. 2.CR - Review problem set For Problem 1-28, determine if...Ch. 2.CR - Review Problem Set For Problem 1-28, determine if...Ch. 2.CR - Review Problem Set For Problem 1-28, determine if...Ch. 2.CR - 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Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set How many pints of a 1 hydrogen...Ch. 2.CR - Review Problem Set Gladys leaves a town driving at...Ch. 2.CR - Review Problem Set In 114 hours more time, Rita,...Ch. 2.CR - Review Problem Set How many cups of orange juice...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 57-60, express the...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - Review Problem Set For Problems 61-70, solve each...Ch. 2.CR - 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