6th Edition

ISBN: 9780134179018

Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford

Publisher: PEARSON

Concept explainers

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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Textbook Question

Chapter 5.3, Problem 77E

Painting a Home A mother and her teenage son are painting their home. In one day, the mother completes 1 3 of the job and the son completes 1 4 of the job. How much more of the job did the mother complete than the son?

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Chapter 5.3, Problem 76E

Chapter 5.3, Problem 78E

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- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.

Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

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Chapter 5 Solutions

Prealgebra (6th Edition)

Ch. 5.1 - Explain how to multiply fractions.Ch. 5.1 - Prob. 2E Ch. 5.1 - To split 14 into 6 equal parts, do we multiply or...Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Fill in each box to complete each problem.Ch. 5.1 - Fill in each box to complete each problem.Ch. 5.1 - Fill in each box to complete each problem.Ch. 5.1 - Prob. 10E

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Painting a Home A mother and her teenage son are painting their home. In one day, the mother completes 1 3 of the job and the son completes 1 4 of the job. How much more of the job did the mother complete than the son?

Solution Summary: The author explains how to calculate the amount of job done by the mother compared to her son.

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Chapter 5 Solutions