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Solve each of Problems 47-62 by setting up and solving an appropriate algebraic equation. (Objective 3) 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 1 2 hours. How far had Bret ridden when he reduced his speed to 12 miles per hour?

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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

Solutions

Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 2.4, Problem 57PS
Textbook Problem
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Solve each of Problems 47-62 by setting up and solving an appropriate algebraic equation. (Objective 3)

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 1 2 hours. How far had Bret ridden when he reduced his speed to 12 miles per hour?

To determine

To find:

To find the distance travelled by Bret before he reduced his speed to 12 miles per hour. Bret started on a 70 miles 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 412 hours.

Explanation of Solution

Approach:

Formulas are the rules represented in symbolic form as equations.

Formulas are used in two ways.

1) Formula is used to solve for a specific variable when numeric values are given for remaining variables. This is similar to evaluating an algebraic expression.

2) Sometimes we need to change the equation form in order to solve one variable in terms of another variable.

Ex: If P dollars are invested at a rate of r% for a time of t years, the amount of simple interest i is given by the formula i=Prt.

Calculation:

Distance formula d=rt

Given that the entire trip of 70 miles took 412 hours. So, lets calculate the individual times for each rate.

Bret started on a 70 mile bicycle ride at 20 miles per hour.

Let the distance travelled by Bret at 20 miles per hour be d

Time taken by Bret at 20 miles per hour be t1

Substitute the values in the formula

d=20×t1

t1=d20

Then the distance travelled by Bret at 12 miles per hour = 70-d

Time taken by Bret at 12 miles per hour be t2

Substitute the values in the formula

70-d=12×t2

t2=70-d12

Entire trip was 412 hours

t1+t2=412

Substitute the values of t1 and t2 in the above equation

By substituting, we get

d20

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Intermediate Algebra
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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 Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set Solve each of Problems 29-42 by...Ch. 2.CR - Review Problem Set For Problems 43-49, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 43-47, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - Review Problem Set For Problems 48-52, solve each...Ch. 2.CR - 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 - 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 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set For Problems 71-78, graph the...Ch. 2.CR - Review Problem Set Susans average score for her...Ch. 2.CR - Review Problem Set Marci invests 3000 at 6 yearly...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 81-84, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CR - Review Problem Set For Problems 85-88, solve each...Ch. 2.CT - For problems 1-10, solve each equation. 5x2=2x11Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 3t24=5t+15Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 4x3=9Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - For problems 1-10, solve each equation. 23x15=4Ch. 2.CT - For problems 1-10, solve each equation....Ch. 2.CT - Solve 23x34y=2 for yCh. 2.CT - Solve S=2r(r+h) for h.Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 13-20, solve each inequality and...Ch. 2.CT - For problems 21-25, solve each problem by setting...Ch. 2.CT - For problems 21-25, solve each problem by setting...Ch. 2.CT - For problems 21-25, solve each problem by setting...Ch. 2.CT - For problems 21-25, solve each problem by setting...Ch. 2.CT - For problems 21-25, solve each problem by setting...Ch. 2.CM - Place a check mark in the table to identify all...Ch. 2.CM - State the property of equality or the property of...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 3-9, simplify each numerical...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 10-12, simplify each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - For problems 13-15, evaluate each algebraic...Ch. 2.CM - Translate the following sentence into an algebraix...Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x...Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 17-23, solve each equation for x....Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - For problems 24-38, solve each inequality,...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each Problems 29-36 by setting up and...Ch. 2.CM - Solve each problem 29-36 by setting up and solving...

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