Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Counting Principles
In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …
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Chapter 5.1, Problem 26HP

(a)

To determine

Whether the statement is true of false

(a)

Expert Solution
Check Mark

Answer to Problem 26HP

True

Explanation of Solution

Given:

Area of larger rectangle = Sum of area of smaller rectangles made up of larger rectangles

Calculation:

This statement is true because the sum of the areas of smaller rectangles made up from the larger rectangle is equal to the area of the larger rectangles

Consider a rectangular park having length = 20m and width = 10m

Suppose this park is divided into two parts A and B with dimensions as

A: length = 10m, width = 10m

B: length = 10m, width = 10m

The area of bigger rectangle will be

  A=l×wA=20×10A=200m2

The area of rectangle A will be

  A=l×wA=10×10A=100m2

The area of rectangle B will be

  A=l×wA=10×10A=100m2

Hence,

  Abigger=AA+AB200=100+100200=200

(b)

To determine

Whether the statement is true of false

(b)

Expert Solution
Check Mark

Answer to Problem 26HP

False

Explanation of Solution

Given:

Perimeter of larger rectangle = Sum of perimeters of smaller rectangles made up of larger rectangle

Calculation:

This statement is false because the sum of the perimeters of smaller rectangles made up from the larger rectangle is not equal to the perimeter of the larger rectangle

Consider a rectangular park having length = 20m and width = 10m

Suppose this park is divided into two parts A and B with dimensions as

A: length = 10m, width = 10m

B: length = 10m, width = 10m

The perimeter of bigger rectangle will be

  P=2(l+w)P=2(20+10)P=60m

The perimeter of rectangle A will be

  PA=2(l+w)PA=2(10+10)PA=40m

The perimeter of rectangle B will be

  PB=2(l+w)PB=2(10+10)PB=40m

Hence,

  Pbigger≠PA+PB60≠40+4060≠80

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Chapter 5.1, Problem 25HP
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Chapter 5.1, Problem 27HP

Chapter 5 Solutions

Pre-Algebra Student Edition

Ch. 5.1 - Prob. 1GPCh. 5.1 - Prob. 2GPCh. 5.1 - Prob. 3GPCh. 5.1 - Prob. 4GPCh. 5.1 - Prob. 1CYUCh. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4PPSCh. 5.1 - Prob. 5PPSCh. 5.1 - Prob. 6PPS
Ch. 5.1 - Prob. 7PPSCh. 5.1 - Prob. 8PPSCh. 5.1 - Prob. 9PPSCh. 5.1 - Prob. 10PPSCh. 5.1 - Prob. 11PPSCh. 5.1 - Prob. 12PPSCh. 5.1 - Prob. 13PPSCh. 5.1 - Prob. 14PPSCh. 5.1 - Prob. 15PPSCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25HPCh. 5.1 - Prob. 26HPCh. 5.1 - Prob. 27HPCh. 5.1 - Prob. 28HPCh. 5.1 - Prob. 29STPCh. 5.1 - Prob. 30STPCh. 5.1 - Prob. 31STPCh. 5.1 - Prob. 32STPCh. 5.1 - Prob. 33SRCh. 5.1 - Prob. 34SRCh. 5.1 - Prob. 35SRCh. 5.1 - Prob. 36SRCh. 5.1 - Prob. 37SRCh. 5.1 - Prob. 38SRCh. 5.1 - Prob. 39SRCh. 5.1 - Prob. 40SRCh. 5.1 - Prob. 41SRCh. 5.1 - Prob. 42SCh. 5.1 - Prob. 43SCh. 5.1 - Prob. 44SCh. 5.2 - Prob. 1AGPCh. 5.2 - Prob. 1BGPCh. 5.2 - Prob. 2AGPCh. 5.2 - Prob. 2BGPCh. 5.2 - Prob. 3GPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5CYUCh. 5.2 - Prob. 6CYUCh. 5.2 - Prob. 7CYUCh. 5.2 - Prob. 8PPSCh. 5.2 - Prob. 9PPSCh. 5.2 - Prob. 10PPSCh. 5.2 - Prob. 11PPSCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30HPCh. 5.2 - Prob. 31HPCh. 5.2 - Prob. 32HPCh. 5.2 - Prob. 33HPCh. 5.2 - Prob. 34HPCh. 5.2 - Prob. 35STPCh. 5.2 - Prob. 36STPCh. 5.2 - Prob. 37STPCh. 5.2 - Prob. 38STPCh. 5.2 - Prob. 39SRCh. 5.2 - Prob. 40SRCh. 5.2 - Prob. 41SRCh. 5.2 - Prob. 42SRCh. 5.2 - Prob. 43SRCh. 5.2 - Prob. 44SRCh. 5.2 - Prob. 45SRCh. 5.2 - Prob. 46SRCh. 5.2 - Prob. 47SCh. 5.2 - Prob. 48SCh. 5.2 - Prob. 49SCh. 5.3 - Prob. 1AGPCh. 5.3 - Prob. 1BGPCh. 5.3 - Prob. 2GPCh. 5.3 - Prob. 3AGPCh. 5.3 - Prob. 3BGPCh. 5.3 - Prob. 4AGPCh. 5.3 - Prob. 4BGPCh. 5.3 - Prob. 4CGPCh. 5.3 - Prob. 5AGPCh. 5.3 - Prob. 5BGPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8CYUCh. 5.3 - Prob. 9CYUCh. 5.3 - Prob. 10CYUCh. 5.3 - Prob. 11CYUCh. 5.3 - Prob. 12PPSCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 39HPCh. 5.3 - Prob. 41HPCh. 5.3 - Prob. 42HPCh. 5.3 - Prob. 43HPCh. 5.3 - Prob. 44STPCh. 5.3 - Prob. 45STPCh. 5.3 - Prob. 46STPCh. 5.3 - Prob. 47STPCh. 5.3 - Prob. 48SRCh. 5.3 - Prob. 49SRCh. 5.3 - Prob. 50SRCh. 5.3 - Prob. 51SRCh. 5.3 - Prob. 52SRCh. 5.3 - Prob. 53SRCh. 5.3 - Prob. 54SRCh. 5.3 - Prob. 55SRCh. 5.3 - Prob. 56SRCh. 5.3 - Prob. 57SRCh. 5.3 - Prob. 58SRCh. 5.3 - Prob. 59SRCh. 5.3 - Prob. 60SRCh. 5.3 - Prob. 61SCh. 5.3 - Prob. 62SCh. 5.3 - Prob. 63SCh. 5.3 - Prob. 64SCh. 5.3 - Prob. 65SCh. 5.3 - Prob. 66SCh. 5.4 - Prob. 1AGPCh. 5.4 - Prob. 1BGPCh. 5.4 - Prob. 2AGPCh. 5.4 - Prob. 2BGPCh. 5.4 - Prob. 3GPCh. 5.4 - Prob. 4AGPCh. 5.4 - Prob. 4BGPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6CYUCh. 5.4 - Prob. 7CYUCh. 5.4 - Prob. 8CYUCh. 5.4 - Prob. 9CYUCh. 5.4 - Prob. 10CYUCh. 5.4 - Prob. 11PPSCh. 5.4 - Prob. 12PPSCh. 5.4 - Prob. 13PPSCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39PPSCh. 5.4 - Prob. 40PPSCh. 5.4 - Prob. 41PPSCh. 5.4 - Prob. 42PPSCh. 5.4 - Prob. 43PPSCh. 5.4 - Prob. 44PPSCh. 5.4 - Prob. 45PPSCh. 5.4 - Prob. 46PPSCh. 5.4 - Prob. 47PPSCh. 5.4 - Prob. 48PPSCh. 5.4 - Prob. 49PPSCh. 5.4 - Prob. 50PPSCh. 5.4 - Prob. 51PPSCh. 5.4 - Prob. 52PPSCh. 5.4 - Prob. 53PPSCh. 5.4 - Prob. 54PPSCh. 5.4 - Prob. 55PPSCh. 5.4 - Prob. 56PPSCh. 5.4 - Prob. 57PPSCh. 5.4 - Prob. 58PPSCh. 5.4 - Prob. 59PPSCh. 5.4 - Prob. 60PPSCh. 5.4 - Prob. 61PPSCh. 5.4 - Prob. 62PPSCh. 5.4 - Prob. 63PPSCh. 5.4 - Prob. 64PPSCh. 5.4 - Prob. 65PPSCh. 5.4 - Prob. 66PPSCh. 5.4 - Prob. 67HPCh. 5.4 - Prob. 68HPCh. 5.4 - Prob. 69HPCh. 5.4 - Prob. 70HPCh. 5.4 - Prob. 71HPCh. 5.4 - Prob. 72HPCh. 5.4 - Prob. 73STPCh. 5.4 - Prob. 74STPCh. 5.4 - Prob. 75STPCh. 5.4 - Prob. 76STPCh. 5.4 - Prob. 77SRCh. 5.4 - Prob. 78SRCh. 5.4 - Prob. 79SRCh. 5.4 - Prob. 80SRCh. 5.4 - Prob. 81SRCh. 5.4 - Prob. 82SRCh. 5.4 - Prob. 83SRCh. 5.4 - Prob. 84SRCh. 5.4 - Prob. 85SRCh. 5.4 - Prob. 86SRCh. 5.4 - Prob. 87SCh. 5.4 - Prob. 88SCh. 5.4 - Prob. 89SCh. 5.4 - Prob. 90SCh. 5.4 - Prob. 91SCh. 5.4 - Prob. 92SCh. 5.5 - Prob. 1AGPCh. 5.5 - Prob. 1BGPCh. 5.5 - Prob. 2AGPCh. 5.5 - Prob. 2BGPCh. 5.5 - Prob. 3GPCh. 5.5 - Prob. 4AGPCh. 5.5 - Prob. 4BGPCh. 5.5 - Prob. 5AGPCh. 5.5 - Prob. 5BGPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6CYUCh. 5.5 - Prob. 7CYUCh. 5.5 - Prob. 8CYUCh. 5.5 - Prob. 9CYUCh. 5.5 - Prob. 10CYUCh. 5.5 - Prob. 11CYUCh. 5.5 - Prob. 12CYUCh. 5.5 - Prob. 13CYUCh. 5.5 - Prob. 14CYUCh. 5.5 - Prob. 15CYUCh. 5.5 - Prob. 16CYUCh. 5.5 - Prob. 17CYUCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 32PPSCh. 5.5 - Prob. 33PPSCh. 5.5 - Prob. 34PPSCh. 5.5 - Prob. 35PPSCh. 5.5 - Prob. 36PPSCh. 5.5 - Prob. 37PPSCh. 5.5 - Prob. 38PPSCh. 5.5 - Prob. 39PPSCh. 5.5 - Prob. 40PPSCh. 5.5 - Prob. 41PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 43PPSCh. 5.5 - Prob. 44PPSCh. 5.5 - Prob. 45PPSCh. 5.5 - Prob. 46PPSCh. 5.5 - Prob. 47PPSCh. 5.5 - Prob. 48PPSCh. 5.5 - Prob. 49PPSCh. 5.5 - Prob. 50PPSCh. 5.5 - Prob. 51HPCh. 5.5 - Prob. 52HPCh. 5.5 - Prob. 53HPCh. 5.5 - Prob. 54HPCh. 5.5 - Prob. 55HPCh. 5.5 - Prob. 56STPCh. 5.5 - Prob. 57STPCh. 5.5 - Prob. 58STPCh. 5.5 - Prob. 59STPCh. 5.5 - Prob. 60SRCh. 5.5 - Prob. 61SRCh. 5.5 - Prob. 62SRCh. 5.5 - Prob. 63SRCh. 5.5 - Prob. 64SRCh. 5.5 - Prob. 65SRCh. 5.5 - Prob. 66SRCh. 5.5 - Prob. 67SRCh. 5.5 - Prob. 68SRCh. 5.5 - Prob. 69SRCh. 5.5 - Prob. 70SRCh. 5.5 - Prob. 71SRCh. 5.5 - Prob. 72SRCh. 5.5 - Prob. 73SRCh. 5.5 - Prob. 74SRCh. 5.5 - Prob. 75SCh. 5.5 - Prob. 76SCh. 5.5 - Prob. 77SCh. 5.5 - Prob. 78SCh. 5 - Prob. 1QCCh. 5 - Prob. 2QCCh. 5 - Prob. 3QCCh. 5 - Prob. 4QCCh. 5 - Prob. 5QCCh. 5 - Prob. 6QCCh. 5 - Prob. 7QCCh. 5 - Prob. 8QCCh. 5 - Prob. 9QCCh. 5 - Prob. 10QCCh. 5 - Prob. 11QCCh. 5 - Prob. 12QCCh. 5 - Prob. 13QCCh. 5 - Prob. 14QCCh. 5 - Prob. 15QCCh. 5 - Prob. 16QCCh. 5 - Prob. 17QCCh. 5 - Prob. 18QCCh. 5 - Prob. 19QCCh. 5 - Prob. 20QCCh. 5 - Prob. 21QCCh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 20MCQCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 34SGRCh. 5 - Prob. 35SGRCh. 5 - Prob. 36SGRCh. 5 - Prob. 37SGRCh. 5 - Prob. 38SGRCh. 5 - Prob. 39SGRCh. 5 - Prob. 40SGRCh. 5 - Prob. 41SGRCh. 5 - Prob. 42SGRCh. 5 - Prob. 43SGRCh. 5 - Prob. 44SGRCh. 5 - Prob. 45SGRCh. 5 - Prob. 46SGRCh. 5 - Prob. 47SGRCh. 5 - Prob. 48SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 1STPCh. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 8STPCh. 5 - Prob. 9STPCh. 5 - Prob. 10STPCh. 5 - Prob. 11STPCh. 5 - Prob. 12STPCh. 5 - Prob. 13STPCh. 5 - Prob. 14STP

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