Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook

1st Edition

ISBN: 9780547614601

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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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.

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Question

Chapter 1.3, Problem 39E

To determine

To explain whether the pattern shown is same or different.

Expert Solution

Answer to Problem 39E

The two patterns are same.

Explanation of Solution

Given information:

The figure provided in the question is:

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook, Chapter 1.3, Problem 39E , additional homework tip 1

From the figure provided in the question, it can be easily observed that the two patterns are same because on rotating one pattern around, it becomes similar as the other.

Hence,

The two patterns are same.

To determine

To find the number of possible pattern if two colours is used.

Expert Solution

Answer to Problem 39E

The number of possible pattern if two colours is used is 6.

Explanation of Solution

Given information:

The figure provided in the question is:

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook, Chapter 1.3, Problem 39E , additional homework tip 2

Calculation:

The expression which represent the number of possible patterns if r different colours is available:

r4+2r3+3r2+2r8

It is decided to use two colours so, substitute, r=2 on the above expression,

(2)4+2(2)3+3(2)2+2(2)8=16+2⋅8+3⋅4+2⋅28 [Evaluate power]=16+16+12+48 [Multiply]=488 [Add]=6

Hence,

The number of possible pattern if two colours is used is 6.

To determine

To sketch all the possible patterns for two different colors.

Expert Solution

Answer to Problem 39E

All possible pattern for two different colors is shown below:

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook, Chapter 1.3, Problem 39E , additional homework tip 3

Explanation of Solution

Given information:

The figure provided in the question is:

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook, Chapter 1.3, Problem 39E , additional homework tip 4

Calculation:

All possible pattern for two different colors is shown below:

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook, Chapter 1.3, Problem 39E , additional homework tip 5

Chapter 1.3, Problem 38E

Chapter 1.3, Problem 40E

Chapter 1 Solutions

Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook

Ch. 1.1 - Prob. 1C Ch. 1.1 - Prob. 2C Ch. 1.1 - Prob. 3C Ch. 1.1 - Prob. 4C Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E

Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - 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