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AlgebraIntermediate Algebra10th Edition
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For problems 49-62, use an algebraic approach to solve each problem. (Objective 3) Aura took three biology exams and has an average score of 88 Her second exam score was 10 points better than her first, and her third exam score was 4 points better than her second exam. What were her three exam scores?

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Intermediate Algebra

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

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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 2.2, Problem 57PS
Textbook Problem
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For problems 49-62, use an algebraic approach to solve each problem. (Objective 3)

Aura took three biology exams and has an average score of 88 Her second exam score was 10 points better than her first, and her third exam score was 4 points better than her second exam. What were her three exam scores?

To determine

To find:

The three exam scores of Aura.

Explanation of Solution

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,

Average score =88.

Second exam score was 10 points better than first exam.

Third exam score was 4 points better than second exam.

Assume a meaningful variable:

Let ‘x’ represent the score secured by, Aura in her first exam.

The second exam score =x+10

The third exam score =x+10+4

Guideline for the problem:

Here, we have the average score of three exams is 88, which has o be used so as to form the equation that translates the conditions of the guideline from English to algebra.

Form the equation:

The first exam score plus the second exam score plus the third exam score, the whole divided by 3 is 88.

x+x+10+x+10+43=88

Solve the equation:

x+x+10+x+10+43=88

Combine; the like terms

x+x+x+10+10+43=88

3x+243=88

Multiply; by 3 on both sides

33x+243=388

3x+24=264

Add; -24 on both sides

3x+24+-24=264-24

Since, addition is associative

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For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - For problems 41-70, solve each inequality and...Ch. 2.5 - 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. The...Ch. 2.6 - For Problems 1-5, answer true or false. The...Ch. 2.6 - For Problems 1-5, answer true or false. The...Ch. 2.6 - For Problems 1-5, answer true or false. The union...Ch. 2.6 - For Problems 1-5, answer true or false. 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|. 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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 - 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 - 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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 - 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Research Methods for the Behavioral Sciences (MindTap Course List)

For a two-factor research study with two levels for factor A and four levels for factor B. how many participant...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using the Second Partials TestIn Exercises 924, find all relative extrema and saddle points of the function. Us...

Calculus

For each of the following problems, substitute the given values in the formula and solve for the unknown. Check...

Mathematics For Machine Technology

Domain and Continuity In Exercises 1-4, (a) find the domain of r, and (b) determine the interval(s) on which th...

Multivariable Calculus

Round all answers to two decimal places. Using Exponential modelsIn Exercises S-15 through S-24, we use exponen...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Reddies Pizza Bash is famous for its Loads-o-Meat Deluxe Pizza. It comes in three sizes: small (13inches) for 1...

Mathematics: A Practical Odyssey

For unemployed persons in the United States, the average number of months of unemployment at the end of Decembe...

Essentials Of Statistics For Business & Economics

42. A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In t...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Bayes’ theorem says that if a sample space S is a union of mutually disjoint events B1,B2,,Bn , each with a non...

Discrete Mathematics With Applications

Exploration True or False? In Exercises 61-64, determine whether the statement is true or false. Justify your a...

College Algebra

In Problems 1518 verify that the indicated function y = (x) is an explicit solution of the given first-order di...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Use the following information to answer the next sewn exercises: The U.S. Census Bureau conducts a study to det...

Introductory Statistics

For the following exercises, consider the function f(x)=(1+x)1/x . 34. To which mathematical constant does the ...

Calculus Volume 1

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