Beginning and Intermediate Algebra
Beginning and Intermediate Algebra
5th Edition
ISBN: 9781259616754
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 4.4, Problem 30PE
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To calculate: The speed of the boat in still water and the speed of the current when it takes the boat 1.5 hr to cover 24 mi downstream and 1.5 hr to cover 12 mi against the current.

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Chapter 4 Solutions

Beginning and Intermediate Algebra

Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Solve the system by the graphing method. y = − 3 x...Ch. 4.1 - Solve the system by the graphing method. y = 2 x −...Ch. 4.1 - Solve the system by the graphing. 5. Ch. 4.1 - Solve the system by the graphing. 6. Ch. 4.1 - a. A______ of linear equations consists of two or...Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 3PECh. 4.1 - Prob. 4PE
Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 6PECh. 4.1 - Prob. 7PECh. 4.1 - Prob. 8PECh. 4.1 - Prob. 9PECh. 4.1 - Prob. 10PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 12PECh. 4.1 - Prob. 13PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 15PECh. 4.1 - Prob. 16PECh. 4.1 - Prob. 17PECh. 4.1 - Prob. 18PECh. 4.1 - Prob. 19PECh. 4.1 - Prob. 20PECh. 4.1 - For Exercises 16-26, determine which system of...Ch. 4.1 - Prob. 22PECh. 4.1 - Prob. 23PECh. 4.1 - Prob. 24PECh. 4.1 - Prob. 25PECh. 4.1 - Prob. 26PECh. 4.1 - Prob. 27PECh. 4.1 - Prob. 28PECh. 4.1 - For Exercises 27-50, solve the system by graphing....Ch. 4.1 - Prob. 30PECh. 4.1 - Prob. 31PECh. 4.1 - Prob. 32PECh. 4.1 - Prob. 33PECh. 4.1 - Prob. 34PECh. 4.1 - Prob. 35PECh. 4.1 - Prob. 36PECh. 4.1 - Prob. 37PECh. 4.1 - Prob. 38PECh. 4.1 - Prob. 39PECh. 4.1 - Prob. 40PECh. 4.1 - Prob. 41PECh. 4.1 - Prob. 42PECh. 4.1 - Prob. 43PECh. 4.1 - Prob. 44PECh. 4.1 - Prob. 45PECh. 4.1 - Prob. 46PECh. 4.1 - Prob. 47PECh. 4.1 - Prob. 48PECh. 4.1 - Prob. 49PECh. 4.1 - Prob. 50PECh. 4.1 - Prob. 51PECh. 4.1 - The cost to rent a 10 ft by 10 ft storage space is...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - Prob. 55PECh. 4.1 - Prob. 56PECh. 4.1 - One equation in a system of linear equations is x...Ch. 4.1 - Prob. 58PECh. 4.2 - Solve the system by using the substitution method....Ch. 4.2 - Prob. 2SPCh. 4.2 - Prob. 3SPCh. 4.2 - Prob. 4SPCh. 4.2 - Prob. 5SPCh. 4.2 - One number is 16 more than another. Their sum is...Ch. 4.2 - Prob. 7SPCh. 4.2 - For Exercises 1-6, write each pair of lines in...Ch. 4.2 - Prob. 2PECh. 4.2 - Prob. 3PECh. 4.2 - Prob. 4PECh. 4.2 - For Exercises 1-6, write each pair of lines in...Ch. 4.2 - Prob. 6PECh. 4.2 - Prob. 7PECh. 4.2 - Prob. 8PECh. 4.2 - Prob. 9PECh. 4.2 - Prob. 10PECh. 4.2 - Given the system: 4 x − 2 y = − 6 3 x +         y...Ch. 4.2 - Prob. 12PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 14PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 16PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 18PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 20PECh. 4.2 - Prob. 21PECh. 4.2 - Prob. 22PECh. 4.2 - Prob. 23PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 25PECh. 4.2 - Prob. 26PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 28PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 31PECh. 4.2 - Prob. 32PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 35PECh. 4.2 - Prob. 36PECh. 4.2 - Prob. 37PECh. 4.2 - Prob. 38PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 42PECh. 4.2 - Prob. 43PECh. 4.2 - Prob. 44PECh. 4.2 - Prob. 45PECh. 4.2 - Prob. 46PECh. 4.2 - Prob. 47PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 49PECh. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - Prob. 57PECh. 4.2 - Prob. 58PECh. 4.2 - Prob. 59PECh. 4.2 - Prob. 60PECh. 4.3 - Solve the system by using the addition method. x +...Ch. 4.3 - Solve the system by using the addition method. 4 x...Ch. 4.3 - Prob. 3SPCh. 4.3 - Solve the system by using the addition method. 15...Ch. 4.3 - Solve the system by using the addition method. 2 3...Ch. 4.3 - Solve the system by using the addition method. 3 x...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 6-7, answer as true or false. Given...Ch. 4.3 - Prob. 7PECh. 4.3 - Given the system 3 x − 4 y = 2 17 x + y = 35 a....Ch. 4.3 - 9. Given the system a. Which variable, x or y, is...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 22PECh. 4.3 - Prob. 23PECh. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 25PECh. 4.3 - Prob. 26PECh. 4.3 - Prob. 27PECh. 4.3 - Prob. 28PECh. 4.3 - Prob. 29PECh. 4.3 - 30. Suppose in solving a system of linear...Ch. 4.3 - For Exercises 31-42, solve the system by using the...Ch. 4.3 - Prob. 32PECh. 4.3 - Prob. 33PECh. 4.3 - Prob. 34PECh. 4.3 - Prob. 35PECh. 4.3 - Prob. 36PECh. 4.3 - Prob. 37PECh. 4.3 - Prob. 38PECh. 4.3 - Prob. 39PECh. 4.3 - Prob. 40PECh. 4.3 - Prob. 41PECh. 4.3 - Prob. 42PECh. 4.3 - Prob. 43PECh. 4.3 - Prob. 44PECh. 4.3 - Prob. 45PECh. 4.3 - Prob. 46PECh. 4.3 - Prob. 47PECh. 4.3 - Prob. 48PECh. 4.3 - Prob. 49PECh. 4.3 - Prob. 50PECh. 4.3 - Prob. 51PECh. 4.3 - Prob. 52PECh. 4.3 - Prob. 53PECh. 4.3 - Prob. 54PECh. 4.3 - Prob. 55PECh. 4.3 - Prob. 56PECh. 4.3 - For Exercises 43-63, solve each system of...Ch. 4.3 - Prob. 58PECh. 4.3 - Prob. 59PECh. 4.3 - Prob. 60PECh. 4.3 - Prob. 61PECh. 4.3 - Prob. 62PECh. 4.3 - Prob. 63PECh. 4.3 - Prob. 64PECh. 4.3 - Prob. 65PECh. 4.3 - Prob. 66PECh. 4.3 - Prob. 67PECh. 4.3 - Prob. 68PECh. 4.3 - Prob. 69PECh. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - 73. Explain why a system of linear equations...Ch. 4.3 - Prob. 74PECh. 4.3 - Prob. 75PECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - Prob. 3PRECh. 4.3 - Prob. 4PRECh. 4.3 - Prob. 5PRECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - Prob. 9PRECh. 4.3 - Prob. 10PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 13PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 23PRECh. 4.3 - Prob. 24PRECh. 4.3 - Prob. 25PRECh. 4.3 - Prob. 26PRECh. 4.3 - Prob. 27PRECh. 4.3 - Prob. 28PRECh. 4.3 - Prob. 29PRECh. 4.3 - Prob. 30PRECh. 4.4 - 1. Lynn went to a fast-food restaurant and spent...Ch. 4.4 - Prob. 2SPCh. 4.4 - Prob. 3SPCh. 4.4 - Prob. 4SPCh. 4.4 - For Exercises 1-4, solve each system of equations...Ch. 4.4 - Prob. 2PECh. 4.4 - Prob. 3PECh. 4.4 - Prob. 4PECh. 4.4 - Prob. 5PECh. 4.4 - Foe Exercises 5-8, set up a system of linear...Ch. 4.4 - Prob. 7PECh. 4.4 - Prob. 8PECh. 4.4 - 9. An online store sells old video games and DVDs...Ch. 4.4 - Tanya bought three adult tickets and one...Ch. 4.4 - 11. Nora bought 100 shares of a technology stock...Ch. 4.4 - 12. Eight students in Ms. Reese’s class decided to...Ch. 4.4 - 13. Mylee is a stamp collector and buys...Ch. 4.4 - Zoey purchased some beef and some chicken for a...Ch. 4.4 - 15. Shanelle invested $10,000, and at the end of 1...Ch. 4.4 - Prob. 16PECh. 4.4 - Prob. 17PECh. 4.4 - 18. Blake has a total of $4000 to invest in two...Ch. 4.4 - Prob. 19PECh. 4.4 - Prob. 20PECh. 4.4 - How much 50% disinfectant solution must be mixed...Ch. 4.4 - Prob. 22PECh. 4.4 - 23. How much 45% disinfectant solution must be...Ch. 4.4 - Prob. 24PECh. 4.4 - Prob. 25PECh. 4.4 - Prob. 26PECh. 4.4 - Prob. 27PECh. 4.4 - Silvia wants to mix a 40% apple juice drink with...Ch. 4.4 - Prob. 29PECh. 4.4 - Prob. 30PECh. 4.4 - Prob. 31PECh. 4.4 - A plane flies 720 mi with the wind in 3 hr. The...Ch. 4.4 - Prob. 33PECh. 4.4 - Prob. 34PECh. 4.4 - Debi has $2.80 in a collection of dimes and...Ch. 4.4 - Prob. 36PECh. 4.4 - Prob. 37PECh. 4.4 - Prob. 38PECh. 4.4 - In the 1961–1962 NBA basketball season, Wilt...Ch. 4.4 - 40. In the 1971–1972 NBA basketball season, Kareem...Ch. 4.4 - Prob. 41PECh. 4.4 - Prob. 42PECh. 4.4 - A total of $60,000 is invested in two accounts,...Ch. 4.4 - Prob. 44PECh. 4.4 - Prob. 45PECh. 4.4 - Prob. 46PECh. 4.4 - Prob. 47PECh. 4.4 - Prob. 48PECh. 4.4 - Prob. 49PECh. 4.4 - Prob. 50PECh. 4.5 - Solve the system. x + 2 y + z = 1 3 x − y + 2 z =...Ch. 4.5 - Prob. 2SPCh. 4.5 - Prob. 3SPCh. 4.5 - Prob. 4SPCh. 4.5 - Prob. 1PECh. 4.5 - For Exercises 2–4, solve the systems by using two...Ch. 4.5 - Prob. 3PECh. 4.5 - For Exercises 2–4, solve the systems by using two...Ch. 4.5 - Two cars leave Kansas City at the same time. One...Ch. 4.5 - Prob. 6PECh. 4.5 - Which of the following points are solutions to the...Ch. 4.5 - Prob. 8PECh. 4.5 - Prob. 9PECh. 4.5 - Prob. 10PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 13PECh. 4.5 - Prob. 14PECh. 4.5 - Prob. 15PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 17PECh. 4.5 - Prob. 18PECh. 4.5 - Prob. 19PECh. 4.5 - Prob. 20PECh. 4.5 - Prob. 21PECh. 4.5 - Prob. 22PECh. 4.5 - Prob. 23PECh. 4.5 - Prob. 24PECh. 4.5 - Prob. 25PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 31PECh. 4.5 - Prob. 32PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 34PECh. 4.5 - Prob. 35PECh. 4.5 - Prob. 36PECh. 4.5 - Prob. 37PECh. 4.5 - Prob. 38PECh. 4.5 - Prob. 39PECh. 4.5 - Prob. 40PECh. 4.5 - Prob. 41PECh. 4.5 - Prob. 42PECh. 4.5 - For Exercises 35–46, solve the system. If there is...Ch. 4.5 - Prob. 44PECh. 4.5 - Prob. 45PECh. 4.5 - Prob. 46PECh. 4.5 - Prob. 47PECh. 4.5 - Prob. 48PECh. 4.5 - Prob. 49PECh. 4.5 - Prob. 50PECh. 4.6 - 1. The perimeter of a triangle is 30 in. The...Ch. 4.6 - Annette, Barb, and Carlita work in a clothing...Ch. 4.6 - For Exercises 1–4, solve the system. If there is...Ch. 4.6 - Prob. 2PECh. 4.6 - Prob. 3PECh. 4.6 - Prob. 4PECh. 4.6 - Prob. 5PECh. 4.6 - Prob. 6PECh. 4.6 - One angle of a triangle measures 6° more than...Ch. 4.6 - Prob. 8PECh. 4.6 - Prob. 9PECh. 4.6 - 10. The perimeter of a triangle is 5 ft. The...Ch. 4.6 - Prob. 11PECh. 4.6 - Prob. 12PECh. 4.6 - Prob. 13PECh. 4.6 - Prob. 14PECh. 4.6 - Prob. 15PECh. 4.6 - Prob. 16PECh. 4.6 - Prob. 17PECh. 4.6 - Prob. 18PECh. 4.6 - Prob. 19PECh. 4.6 - Prob. 20PECh. 4.6 - Prob. 21PECh. 4.6 - Souvenir hats, T-shirts, and jackets are sold at a...Ch. 4.6 - Prob. 23PECh. 4.6 - Prob. 24PECh. 4 - For Exercises 1–4, determine if the ordered pair...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 18RECh. 4 - Once phone company charges $0.15 a minute for...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - 25. Given the system: a. Which variable from...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Given the system. 3 x − 5 y = 1 2 x − y = − 4 a....Ch. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - 62. In a triangle, the largest angle measures 76°...Ch. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - 8. a. How many solutions does a system of two...Ch. 4 - Prob. 9TCh. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Latrell buys four CDs and two DVDs for $54 from...Ch. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - 19. A plane travels 910 mi in 2 hr against the...Ch. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Prob. 10CRECh. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Sketch the following equations on the same graph....Ch. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Use a system of linear equations to solve for x...Ch. 4 - In 1920, the average speed for the winner of the...Ch. 4 - Prob. 20CRE
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