(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Videos

Question

Chapter 3.7, Problem 16P

To determine

To write a convincing argument for the given situation.

Expert Solution & Answer

Answer to Problem 16P

Wrong

Explanation of Solution

Given:

Statement:” It is possible for 46 pennies and nickels to have a total value of a dollar.”

Let x be the number of pennies and y be the number of nickels.

x+y=46⇒y=46−x

Therefore,

0.01x+0.05y=1.000.01x+0.05(46−x)=1.000.01x+2.30−0.05x=1.00−0.04x+2.30=1.00−0.04x+2.30−2.30=1.00−2.30−0.04x=−1.300.04x=1.300.04x0.04=1.300.04x=32.5

Substituting the value of x in y=46−x ,

y=46−x=46−32.5=13.5

Adding these two does not reach $1.

Conclusion:

Therefore, the given statement is wrong.

Chapter 3.7, Problem 15P

Chapter 3.7, Problem 17P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY