Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Expert Solution & Answer
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Chapter 5.9, Problem 28CCR
Solution

(a)

To find: The equation that can be used to find g .

Given information:The given table is:

    Apple Bushels bGallons of Apple Cider g
    13
    26
    515
    824

Calculation:

Observe from the table.

  1×3=32×3=65×3=158×3=24

So, the generalised equation to find g is expressed as:

  g=3b

Therefore, the equation is g=3b .

(b)

To find: The numbers of bushels are needed to make 54​ gallons of cider.

The number of bushels are needed to make 54​ gallons of Cider is 18 .

Given information:Given information: the given table is

    Apple Bushels bGallons of Apple Cider g
    13
    26
    515
    824

Calculation:

For part (a), the equation for g is given by,

  g=3b

Substitute the value of g in above equation.

  54=3bb=543b=18

Therefore, the number of bushels needed is 18 .

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Chapter 5.9, Problem 27CCR
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Chapter 5.9, Problem 29CCR

Chapter 5 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 5.1 - Prob. 1GPCh. 5.1 - Prob. 2GPCh. 5.1 - Prob. 3GPCh. 5.1 - Prob. 4GPCh. 5.1 - Prob. 5GPCh. 5.1 - Prob. 6GPCh. 5.1 - Prob. 7GPCh. 5.1 - Prob. 8GPCh. 5.1 - Prob. 9GPCh. 5.1 - Prob. 10IP
Ch. 5.1 - Prob. 11IPCh. 5.1 - Prob. 12IPCh. 5.1 - Prob. 13IPCh. 5.1 - Prob. 14IPCh. 5.1 - Prob. 15IPCh. 5.1 - Prob. 16IPCh. 5.1 - Prob. 17IPCh. 5.1 - Prob. 18IPCh. 5.1 - Prob. 19IPCh. 5.1 - Prob. 20IPCh. 5.1 - Prob. 21IPCh. 5.1 - Prob. 22IPCh. 5.1 - Prob. 23IPCh. 5.1 - Prob. 24IPCh. 5.1 - Prob. 25IPCh. 5.1 - Prob. 26IPCh. 5.1 - Prob. 27IPCh. 5.1 - Prob. 28IPCh. 5.1 - Prob. 29IPCh. 5.1 - Prob. 30IPCh. 5.1 - Prob. 31IPCh. 5.1 - Prob. 32IPCh. 5.1 - Prob. 33HPCh. 5.1 - Prob. 34HPCh. 5.1 - Prob. 35HPCh. 5.1 - Prob. 36HPCh. 5.1 - Prob. 37HPCh. 5.1 - Prob. 38HPCh. 5.1 - Prob. 39STPCh. 5.1 - Prob. 40STPCh. 5.1 - Prob. 41STPCh. 5.1 - Prob. 42STPCh. 5.1 - Prob. 43CCRCh. 5.1 - Prob. 44CCRCh. 5.1 - Prob. 45CCRCh. 5.1 - Prob. 46CCRCh. 5.1 - Prob. 47CCRCh. 5.1 - Prob. 48CCRCh. 5.1 - Prob. 49CCRCh. 5.1 - Prob. 50CCRCh. 5.1 - Prob. 51CCRCh. 5.1 - Prob. 52CCRCh. 5.1 - Prob. 53CCRCh. 5.1 - Prob. 54CCRCh. 5.1 - Prob. 55CCRCh. 5.1 - Prob. 56CCRCh. 5.1 - Prob. 57CCRCh. 5.1 - Prob. 58CCRCh. 5.1 - Prob. 59CCRCh. 5.1 - Prob. 60CCRCh. 5.1 - Prob. 61CCRCh. 5.1 - Prob. 62CCRCh. 5.1 - Prob. 63CCRCh. 5.1 - Prob. 64CCRCh. 5.1 - Prob. 65CCRCh. 5.1 - Prob. 66CCRCh. 5.2 - Prob. 1GPCh. 5.2 - Prob. 2GPCh. 5.2 - Prob. 3GPCh. 5.2 - Prob. 4GPCh. 5.2 - Prob. 5GPCh. 5.2 - Prob. 6GPCh. 5.2 - Prob. 7GPCh. 5.2 - Prob. 8GPCh. 5.2 - Prob. 9IPCh. 5.2 - Prob. 10IPCh. 5.2 - Prob. 11IPCh. 5.2 - Prob. 12IPCh. 5.2 - Prob. 13IPCh. 5.2 - Prob. 14IPCh. 5.2 - Prob. 15IPCh. 5.2 - Prob. 16IPCh. 5.2 - Prob. 17IPCh. 5.2 - Prob. 18IPCh. 5.2 - Prob. 19IPCh. 5.2 - Prob. 20IPCh. 5.2 - Prob. 21IPCh. 5.2 - Prob. 22IPCh. 5.2 - Prob. 23IPCh. 5.2 - Prob. 24IPCh. 5.2 - Prob. 25IPCh. 5.2 - Prob. 26IPCh. 5.2 - Prob. 27IPCh. 5.2 - Prob. 28HPCh. 5.2 - Prob. 29HPCh. 5.2 - Prob. 30HPCh. 5.2 - Prob. 31HPCh. 5.2 - Prob. 32HPCh. 5.2 - Prob. 33STPCh. 5.2 - Prob. 34STPCh. 5.2 - Prob. 35STPCh. 5.2 - Prob. 36STPCh. 5.2 - Prob. 37CCRCh. 5.2 - Prob. 38CCRCh. 5.2 - Prob. 39CCRCh. 5.2 - Prob. 40CCRCh. 5.2 - Prob. 41CCRCh. 5.2 - Prob. 42CCRCh. 5.2 - Prob. 43CCRCh. 5.2 - Prob. 44CCRCh. 5.2 - Prob. 45CCRCh. 5.2 - Prob. 46CCRCh. 5.2 - Prob. 47CCRCh. 5.2 - Prob. 48CCRCh. 5.2 - Prob. 49CCRCh. 5.2 - Prob. 50CCRCh. 5.2 - Prob. 51CCRCh. 5.2 - Prob. 52CCRCh. 5.2 - Prob. 53CCRCh. 5.2 - Prob. 54CCRCh. 5.2 - Prob. 55CCRCh. 5.3 - Prob. 1GPCh. 5.3 - Prob. 2GPCh. 5.3 - Prob. 3GPCh. 5.3 - Prob. 4GPCh. 5.3 - Prob. 5GPCh. 5.3 - Prob. 6GPCh. 5.3 - Prob. 7GPCh. 5.3 - Prob. 8GPCh. 5.3 - Prob. 9GPCh. 5.3 - Prob. 10GPCh. 5.3 - Prob. 11GPCh. 5.3 - Prob. 12GPCh. 5.3 - Prob. 13IPCh. 5.3 - Prob. 14IPCh. 5.3 - Prob. 15IPCh. 5.3 - Prob. 16IPCh. 5.3 - Prob. 17IPCh. 5.3 - Prob. 18IPCh. 5.3 - Prob. 19IPCh. 5.3 - Prob. 20IPCh. 5.3 - Prob. 21IPCh. 5.3 - Prob. 22IPCh. 5.3 - Prob. 23IPCh. 5.3 - Prob. 24IPCh. 5.3 - Prob. 25IPCh. 5.3 - Prob. 26IPCh. 5.3 - Prob. 27IPCh. 5.3 - Prob. 28IPCh. 5.3 - Prob. 29IPCh. 5.3 - Prob. 30IPCh. 5.3 - Prob. 31IPCh. 5.3 - Prob. 32IPCh. 5.3 - Prob. 33IPCh. 5.3 - Prob. 34IPCh. 5.3 - Prob. 35IPCh. 5.3 - Prob. 36IPCh. 5.3 - Prob. 37IPCh. 5.3 - Prob. 38IPCh. 5.3 - Prob. 39IPCh. 5.3 - Prob. 40IPCh. 5.3 - Prob. 41IPCh. 5.3 - Prob. 42IPCh. 5.3 - Prob. 43IPCh. 5.3 - Prob. 44IPCh. 5.3 - Prob. 45IPCh. 5.3 - Prob. 46IPCh. 5.3 - Prob. 47HPCh. 5.3 - Prob. 48HPCh. 5.3 - Prob. 49HPCh. 5.3 - Prob. 50STPCh. 5.3 - Prob. 51STPCh. 5.3 - Prob. 52STPCh. 5.3 - Prob. 53CCRCh. 5.3 - Prob. 54CCRCh. 5.3 - Prob. 55CCRCh. 5.3 - Prob. 56CCRCh. 5.3 - Prob. 57CCRCh. 5.3 - Prob. 58CCRCh. 5.3 - Prob. 59CCRCh. 5.3 - Prob. 60CCRCh. 5.3 - Prob. 61CCRCh. 5.3 - Prob. 62CCRCh. 5.3 - Prob. 63CCRCh. 5.3 - Prob. 64CCRCh. 5.3 - Prob. 65CCRCh. 5.3 - Prob. 66CCRCh. 5.3 - Prob. 67CCRCh. 5.3 - Prob. 68CCRCh. 5.3 - Prob. 69CCRCh. 5.3 - Prob. 70CCRCh. 5.3 - Prob. 71CCRCh. 5.4 - Prob. 1GPCh. 5.4 - Prob. 2GPCh. 5.4 - Prob. 3GPCh. 5.4 - Prob. 4GPCh. 5.4 - Prob. 5GPCh. 5.4 - Prob. 6GPCh. 5.4 - Prob. 7GPCh. 5.4 - Prob. 8GPCh. 5.4 - Prob. 9GPCh. 5.4 - Prob. 10IPCh. 5.4 - Prob. 11IPCh. 5.4 - Prob. 12IPCh. 5.4 - Prob. 13IPCh. 5.4 - Prob. 14IPCh. 5.4 - Prob. 15IPCh. 5.4 - Prob. 16IPCh. 5.4 - Prob. 17IPCh. 5.4 - Prob. 18IPCh. 5.4 - Prob. 19IPCh. 5.4 - Prob. 20IPCh. 5.4 - Prob. 21IPCh. 5.4 - Prob. 22IPCh. 5.4 - Prob. 23IPCh. 5.4 - Prob. 24IPCh. 5.4 - Prob. 25IPCh. 5.4 - Prob. 26IPCh. 5.4 - Prob. 27IPCh. 5.4 - Prob. 28IPCh. 5.4 - Prob. 29IPCh. 5.4 - Prob. 30IPCh. 5.4 - Prob. 31IPCh. 5.4 - Prob. 32IPCh. 5.4 - Prob. 33IPCh. 5.4 - Prob. 34IPCh. 5.4 - Prob. 35IPCh. 5.4 - Prob. 36IPCh. 5.4 - Prob. 37IPCh. 5.4 - Prob. 38IPCh. 5.4 - Prob. 39IPCh. 5.4 - Prob. 40IPCh. 5.4 - Prob. 41IPCh. 5.4 - Prob. 42IPCh. 5.4 - Prob. 43IPCh. 5.4 - Prob. 44IPCh. 5.4 - Prob. 45IPCh. 5.4 - Prob. 46HPCh. 5.4 - Prob. 47HPCh. 5.4 - Prob. 48HPCh. 5.4 - Prob. 49HPCh. 5.4 - Prob. 50HPCh. 5.4 - Prob. 51STPCh. 5.4 - Prob. 52STPCh. 5.4 - Prob. 53STPCh. 5.4 - Prob. 54STPCh. 5.4 - Prob. 55CCRCh. 5.4 - Prob. 56CCRCh. 5.4 - Prob. 57CCRCh. 5.4 - Prob. 58CCRCh. 5.4 - Prob. 59CCRCh. 5.4 - Prob. 60CCRCh. 5.4 - Prob. 61CCRCh. 5.4 - Prob. 62CCRCh. 5.4 - Prob. 63CCRCh. 5.4 - Prob. 64CCRCh. 5.4 - Prob. 65CCRCh. 5.4 - Prob. 66CCRCh. 5.4 - Prob. 67CCRCh. 5.4 - Prob. 68CCRCh. 5.4 - Prob. 69CCRCh. 5.4 - Prob. 70CCRCh. 5.4 - Prob. 71CCRCh. 5.4 - Prob. 72CCRCh. 5.4 - Prob. 73CCRCh. 5.4 - Prob. 74CCRCh. 5.4 - Prob. 75CCRCh. 5.4 - Prob. 76CCRCh. 5.4 - Prob. 77CCRCh. 5.4 - Prob. 78CCRCh. 5.4 - Prob. 79CCRCh. 5.4 - Prob. 80CCRCh. 5.5 - Prob. 1GPCh. 5.5 - Prob. 2GPCh. 5.5 - Prob. 3GPCh. 5.5 - Prob. 4IPCh. 5.5 - Prob. 5IPCh. 5.5 - Prob. 6IPCh. 5.5 - Prob. 7IPCh. 5.5 - Prob. 8IPCh. 5.5 - Prob. 9IPCh. 5.5 - Prob. 10IPCh. 5.5 - Prob. 11IPCh. 5.5 - Prob. 12IPCh. 5.5 - Prob. 13IPCh. 5.5 - Prob. 14IPCh. 5.5 - Prob. 15HPCh. 5.5 - Prob. 16HPCh. 5.5 - Prob. 17HPCh. 5.5 - Prob. 18HPCh. 5.5 - Prob. 19STPCh. 5.5 - Prob. 20STPCh. 5.5 - Prob. 21STPCh. 5.5 - Prob. 22STPCh. 5.5 - Prob. 23CCRCh. 5.5 - Prob. 24CCRCh. 5.5 - Prob. 25CCRCh. 5.5 - Prob. 26CCRCh. 5.5 - Prob. 27CCRCh. 5.5 - Prob. 28CCRCh. 5.5 - Prob. 29CCRCh. 5.5 - Prob. 30CCRCh. 5.5 - Prob. 31CCRCh. 5.5 - Prob. 32CCRCh. 5.5 - Prob. 33CCRCh. 5.5 - Prob. 34CCRCh. 5.5 - Prob. 35CCRCh. 5.6 - Prob. 1GPCh. 5.6 - Prob. 2GPCh. 5.6 - Prob. 3GPCh. 5.6 - Prob. 4GPCh. 5.6 - Prob. 5IPCh. 5.6 - Prob. 6IPCh. 5.6 - Prob. 7IPCh. 5.6 - Prob. 8IPCh. 5.6 - Prob. 9IPCh. 5.6 - Prob. 10IPCh. 5.6 - Prob. 11IPCh. 5.6 - Prob. 12IPCh. 5.6 - Prob. 13IPCh. 5.6 - Prob. 14IPCh. 5.6 - Prob. 15IPCh. 5.6 - Prob. 16IPCh. 5.6 - Prob. 17HPCh. 5.6 - Prob. 18HPCh. 5.6 - Prob. 19HPCh. 5.6 - Prob. 20HPCh. 5.6 - Prob. 21STPCh. 5.6 - Prob. 22STPCh. 5.6 - Prob. 23STPCh. 5.6 - Prob. 24CCRCh. 5.6 - Prob. 25CCRCh. 5.6 - Prob. 26CCRCh. 5.6 - Prob. 27CCRCh. 5.6 - Prob. 28CCRCh. 5.6 - Prob. 29CCRCh. 5.6 - Prob. 30CCRCh. 5.6 - Prob. 31CCRCh. 5.6 - Prob. 32CCRCh. 5.6 - Prob. 33CCRCh. 5.6 - Prob. 34CCRCh. 5.6 - Prob. 35CCRCh. 5.6 - Prob. 36CCRCh. 5.6 - Prob. 37CCRCh. 5.7 - Prob. 1GPCh. 5.7 - Prob. 2GPCh. 5.7 - Prob. 3GPCh. 5.7 - Prob. 4GPCh. 5.7 - Prob. 5GPCh. 5.7 - Prob. 6GPCh. 5.7 - Prob. 7GPCh. 5.7 - Prob. 8GPCh. 5.7 - Prob. 9IPCh. 5.7 - Prob. 10IPCh. 5.7 - Prob. 11IPCh. 5.7 - Prob. 12IPCh. 5.7 - Prob. 13IPCh. 5.7 - Prob. 14IPCh. 5.7 - Prob. 15IPCh. 5.7 - Prob. 16IPCh. 5.7 - Prob. 17IPCh. 5.7 - Prob. 18IPCh. 5.7 - Prob. 19IPCh. 5.7 - Prob. 20IPCh. 5.7 - Prob. 21IPCh. 5.7 - Prob. 22IPCh. 5.7 - Prob. 23IPCh. 5.7 - Prob. 24IPCh. 5.7 - Prob. 25IPCh. 5.7 - Prob. 26IPCh. 5.7 - Prob. 27IPCh. 5.7 - Prob. 28IPCh. 5.7 - Prob. 29IPCh. 5.7 - Prob. 30IPCh. 5.7 - Prob. 31IPCh. 5.7 - Prob. 32IPCh. 5.7 - Prob. 33IPCh. 5.7 - Prob. 34IPCh. 5.7 - Prob. 35IPCh. 5.7 - Prob. 36IPCh. 5.7 - Prob. 37IPCh. 5.7 - Prob. 38HPCh. 5.7 - Prob. 39HPCh. 5.7 - Prob. 40HPCh. 5.7 - Prob. 41HPCh. 5.7 - Prob. 42HPCh. 5.7 - Prob. 43STPCh. 5.7 - Prob. 44STPCh. 5.7 - Prob. 45STPCh. 5.7 - Prob. 46STPCh. 5.7 - Prob. 47CCRCh. 5.7 - Prob. 48CCRCh. 5.7 - Prob. 49CCRCh. 5.7 - Prob. 50CCRCh. 5.7 - Prob. 51CCRCh. 5.7 - Prob. 52CCRCh. 5.7 - Prob. 53CCRCh. 5.7 - Prob. 54CCRCh. 5.7 - Prob. 55CCRCh. 5.7 - Prob. 56CCRCh. 5.7 - Prob. 57CCRCh. 5.7 - Prob. 58CCRCh. 5.8 - Prob. 1GPCh. 5.8 - Prob. 2GPCh. 5.8 - Prob. 3GPCh. 5.8 - Prob. 4IPCh. 5.8 - Prob. 5IPCh. 5.8 - Prob. 6IPCh. 5.8 - Prob. 7IPCh. 5.8 - Prob. 8IPCh. 5.8 - Prob. 9IPCh. 5.8 - Prob. 10IPCh. 5.8 - Prob. 11IPCh. 5.8 - Prob. 12IPCh. 5.8 - Prob. 13IPCh. 5.8 - Prob. 14IPCh. 5.8 - Prob. 15IPCh. 5.8 - Prob. 16IPCh. 5.8 - Prob. 17IPCh. 5.8 - Prob. 18IPCh. 5.8 - Prob. 19HPCh. 5.8 - Prob. 20HPCh. 5.8 - Prob. 21HPCh. 5.8 - Prob. 22HPCh. 5.8 - Prob. 23HPCh. 5.8 - Prob. 24HPCh. 5.8 - Prob. 25STPCh. 5.8 - Prob. 26STPCh. 5.8 - Prob. 27STPCh. 5.8 - Prob. 28STPCh. 5.8 - Prob. 29CCRCh. 5.8 - Prob. 30CCRCh. 5.8 - Prob. 31CCRCh. 5.8 - Prob. 32CCRCh. 5.8 - Prob. 33CCRCh. 5.8 - Prob. 34CCRCh. 5.8 - Prob. 35CCRCh. 5.8 - Prob. 36CCRCh. 5.8 - Prob. 37CCRCh. 5.8 - Prob. 38CCRCh. 5.8 - Prob. 39CCRCh. 5.8 - Prob. 40CCRCh. 5.8 - Prob. 41CCRCh. 5.8 - Prob. 42CCRCh. 5.8 - Prob. 43CCRCh. 5.8 - Prob. 44CCRCh. 5.8 - Prob. 45CCRCh. 5.8 - Prob. 46CCRCh. 5.9 - Prob. 1GPCh. 5.9 - Prob. 2GPCh. 5.9 - Prob. 3GPCh. 5.9 - Prob. 4IPCh. 5.9 - Prob. 5IPCh. 5.9 - Prob. 6IPCh. 5.9 - Prob. 7IPCh. 5.9 - Prob. 8IPCh. 5.9 - Prob. 9IPCh. 5.9 - Prob. 10IPCh. 5.9 - Prob. 11IPCh. 5.9 - Prob. 12IPCh. 5.9 - Prob. 13IPCh. 5.9 - Prob. 14IPCh. 5.9 - Prob. 15IPCh. 5.9 - Prob. 16HPCh. 5.9 - Prob. 17HPCh. 5.9 - Prob. 18HPCh. 5.9 - Prob. 19HPCh. 5.9 - Prob. 20HPCh. 5.9 - Prob. 21HPCh. 5.9 - Prob. 22STPCh. 5.9 - Prob. 23STPCh. 5.9 - Prob. 24STPCh. 5.9 - Prob. 25STPCh. 5.9 - Prob. 26CCRCh. 5.9 - Prob. 27CCRCh. 5.9 - Prob. 28CCRCh. 5.9 - Prob. 29CCRCh. 5.9 - Prob. 30CCRCh. 5.9 - Prob. 31CCRCh. 5.9 - Prob. 32CCRCh. 5.9 - Prob. 33CCRCh. 5.9 - Prob. 34CCRCh. 5.9 - Prob. 35CCRCh. 5.9 - Prob. 36CCRCh. 5.9 - Prob. 37CCRCh. 5.9 - Prob. 38CCRCh. 5.9 - Prob. 39CCRCh. 5.9 - Prob. 40CCRCh. 5.10 - Prob. 1GPCh. 5.10 - Prob. 2GPCh. 5.10 - Prob. 3IPCh. 5.10 - Prob. 4IPCh. 5.10 - Prob. 5IPCh. 5.10 - Prob. 6IPCh. 5.10 - Prob. 7IPCh. 5.10 - Prob. 8IPCh. 5.10 - Prob. 9IPCh. 5.10 - Prob. 10IPCh. 5.10 - Prob. 11IPCh. 5.10 - Prob. 12IPCh. 5.10 - Prob. 13IPCh. 5.10 - Prob. 14IPCh. 5.10 - Prob. 15HPCh. 5.10 - Prob. 16HPCh. 5.10 - Prob. 17HPCh. 5.10 - Prob. 18HPCh. 5.10 - Prob. 19STPCh. 5.10 - Prob. 20STPCh. 5.10 - Prob. 21STPCh. 5.10 - Prob. 22STPCh. 5.10 - Prob. 23CCRCh. 5.10 - Prob. 24CCRCh. 5.10 - Prob. 25CCRCh. 5.10 - Prob. 26CCRCh. 5.10 - Prob. 27CCRCh. 5.10 - Prob. 28CCRCh. 5.10 - Prob. 29CCRCh. 5.10 - Prob. 30CCRCh. 5.10 - Prob. 31CCRCh. 5.10 - Prob. 32CCRCh. 5.10 - Prob. 33CCRCh. 5.10 - Prob. 34CCRCh. 5.10 - Prob. 35CCRCh. 5.10 - Prob. 36CCRCh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 19CRCh. 5 - Prob. 20CRCh. 5 - Prob. 21CRCh. 5 - Prob. 22CRCh. 5 - Prob. 23CRCh. 5 - Prob. 24CRCh. 5 - Prob. 25CRCh. 5 - Prob. 26CRCh. 5 - Prob. 27CRCh. 5 - Prob. 28CRCh. 5 - Prob. 29CRCh. 5 - Prob. 30CRCh. 5 - Prob. 31CRCh. 5 - Prob. 32CRCh. 5 - Prob. 33CRCh. 5 - Prob. 34CRCh. 5 - Prob. 35CRCh. 5 - Prob. 36CRCh. 5 - 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