Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 4.7, Problem 321E
In the following exercises, translate to a system of inequalities and solve.
321. Juan is studying for his final exams in chemistry and algebra. he knows he only has 24 hours to study, and it will take him at least three times as long to study for algebra than chemistry.
(a) Write a system of inequalities to model this situation.
(b) Graph the system.
(c) Can he spend 4 hours on chemistry and 20 hours on algebra?
(d) Can he spend 6 hours on chemistry and 18 hours on algebra?
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Chapter 4 Solutions
Intermediate Algebra
Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Solve the system by graphing: {x3y=3x+y=5 .Ch. 4.1 - Solve the system by graphing: {x+y=13x+2y=12 .Ch. 4.1 - Solve the system by graphing: {x+y=12x+y=10 .Ch. 4.1 - Solve the system by graphing: {2x+y=6x+y=1 .Ch. 4.1 - Solve the system by graphing: {y=14x+2x+4y=8 .Ch. 4.1 - Solve the system by graphing: {y=3x16x2y=6 .Ch. 4.1 - Solve the system by graphing: {y=3x66x+2y=12 .Ch. 4.1 - Solve the system by graphing: {y=12x42x4y=16 .
Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Solve the system by substitution: {2x+y=11x+3y=9 .Ch. 4.1 - Solve the system by substitution: {2x+y=14x+3y=3 .Ch. 4.1 - Solve the system by substitution: {x4y=43x+4y=0 .Ch. 4.1 - Solve the system by substitution: {4xy=02x3y=5 .Ch. 4.1 - Solve the system by elimination: {3x+y=52x3y=7 .Ch. 4.1 - Solve the system by elimination: {4x+y=52x2y=2 .Ch. 4.1 - Solve the system by elimination: {3x4y=95x+3y=14 .Ch. 4.1 - Solve the system by elimination: {7x+8y=43x5y=27 .Ch. 4.1 - Solve the system by elimination: {13x12y=134xy=52...Ch. 4.1 - Solve the system by elimination:...Ch. 4.1 - Solve the system by elimination: {5x3y=15y=5+53x .Ch. 4.1 - Solve the system by elimination: {x+2y=6y=12x+3 .Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - 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Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.2 - The sum of two numbers is 10. One number is 4 less...Ch. 4.2 - The sum of two numbers is 6 . One number is 10...Ch. 4.2 - Geraldine has been offered positions by two...Ch. 4.2 - Kenneth currently sells suits for company A at a...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - 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The manufacturer of a weight training bench spends...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - 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The manufacturer of an energy drink spends $1.20...Ch. 4.3 - The manufacturer of a water bottle spends $5 to...Ch. 4.3 - Take a handful of two types of coins, and write a...Ch. 4.3 - In Example 4.28, we used elimination to solve the...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve: {3x4z=12y+3z=22x+3y=6 .Ch. 4.4 - Solve: {4x3z=53y+2z=73x+4y=6 .Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - The community college fine arts department sold...Ch. 4.4 - The community college soccer team sold three kinds...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - 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Perform the indicated operations on the augmented...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - 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For the determinant |210301123| , find and then...Ch. 4.6 - Evaluate the determinant |324012231| , by...Ch. 4.6 - Evaluate the determinant |322214103| , by...Ch. 4.6 - Evaluate the determinant |213034343| by expanding...Ch. 4.6 - Evaluate the determinant |213122440| by expanding...Ch. 4.6 - Solve using Cramer’s rule: {3x+y=32x+3y=6 .Ch. 4.6 - Solve using Cramer’s rule: {x+y=22x+y=4 .Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Determine whether the points (3,2),(5,3), and...Ch. 4.6 - Determine whether the points (4,1),(6,2) and (2,4)...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - 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Solve the system by graphing: {y3x+13x+y4 .Ch. 4.7 - Solve the system by graphing: {y 1 4x+2x+4y4 .Ch. 4.7 - A trailer can carry a maximum weight of 160 pounds...Ch. 4.7 - Mary needs to purchase supplies of answer sheets...Ch. 4.7 - Tension needs to eat at least an extra 1,000...Ch. 4.7 - Philip’s doctor tells him he should add at least...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - 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