Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Unitary Method
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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Question
Book Icon
Chapter 4.2, Problem 46PPS

(a)

To determine

The table showing various value of width

(a)

Expert Solution
Check Mark

Answer to Problem 46PPS

    Width (x)Length (2x)Perimeter2(l+w)
    126
    2412
    3618
    4824
    51030
    61236

Explanation of Solution

Given:

The given rectangle is

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 1

Calculation:

For various values of width:

    Width (x)Length (2x)Perimeter2(l+w)
    126
    2412
    3618
    4824
    51030
    61236

(b)

To determine

The graph of the ordered pairs

(b)

Expert Solution
Check Mark

Answer to Problem 46PPS

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 2

Explanation of Solution

Given:

The given rectangle is

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 3

Calculation:

The ordered pairs (width, perimeter) are

  (1,6),(2,12),(3,18),(4,24),(5,30),(6,36)

The graph can be drawn as

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 4

(c)

To determine

The expression for the perimeter

(c)

Expert Solution
Check Mark

Answer to Problem 46PPS

  6w

Explanation of Solution

Given:

The given rectangle is

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 5

Calculation:

Let the width = w

The length = 2w

The perimeter will be

  =w+w+2w+2w=(1+1+2+2)w=6w

(d)

To determine

The effect on perimeter when the width is doubled

(d)

Expert Solution
Check Mark

Answer to Problem 46PPS

The perimeter gets doubled

Explanation of Solution

Given:

The given rectangle is

Pre-Algebra Student Edition, Chapter 4.2, Problem 46PPS , additional homework tip 6

Calculation:

Let the width =2w

The length = 4w

The perimeter will be

  =2w+2w+4w+4w=(2+2+4+4)w=12w

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Chapter 4.2, Problem 45PPS
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Chapter 4.2, Problem 47PPS

Chapter 4 Solutions

Pre-Algebra Student Edition

Ch. 4.1 - Prob. 1AGPCh. 4.1 - Prob. 1BGPCh. 4.1 - Prob. 2GPCh. 4.1 - Prob. 3AGPCh. 4.1 - Prob. 3BGPCh. 4.1 - Prob. 4AGPCh. 4.1 - Prob. 4BGPCh. 4.1 - Prob. 1CYUCh. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYU
Ch. 4.1 - Prob. 4CYUCh. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10PPSCh. 4.1 - Prob. 11PPSCh. 4.1 - Prob. 12PPSCh. 4.1 - Prob. 13PPSCh. 4.1 - Prob. 14PPSCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47PPSCh. 4.1 - Prob. 48PPSCh. 4.1 - Prob. 49PPSCh. 4.1 - Prob. 50PPSCh. 4.1 - Prob. 51PPSCh. 4.1 - Prob. 52PPSCh. 4.1 - Prob. 53PPSCh. 4.1 - Prob. 54PPSCh. 4.1 - Prob. 55HPCh. 4.1 - Prob. 56HPCh. 4.1 - Prob. 57HPCh. 4.1 - Prob. 58HPCh. 4.1 - Prob. 59STPCh. 4.1 - Prob. 60STPCh. 4.1 - Prob. 61STPCh. 4.1 - Prob. 62STPCh. 4.1 - Prob. 63SRCh. 4.1 - Prob. 64SRCh. 4.1 - Prob. 65SRCh. 4.1 - Prob. 66SRCh. 4.1 - Prob. 67SRCh. 4.1 - Prob. 68SRCh. 4.1 - Prob. 69SRCh. 4.1 - Prob. 70SRCh. 4.1 - Prob. 71SRCh. 4.1 - Prob. 72SRCh. 4.1 - Prob. 73SCh. 4.1 - Prob. 74SCh. 4.1 - Prob. 75SCh. 4.1 - Prob. 76SCh. 4.2 - Prob. 1GPCh. 4.2 - Prob. 2GPCh. 4.2 - Prob. 3AGPCh. 4.2 - Prob. 3BGPCh. 4.2 - Prob. 3CGPCh. 4.2 - Prob. 4GPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12CYUCh. 4.2 - Prob. 13CYUCh. 4.2 - Prob. 14CYUCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35PPSCh. 4.2 - Prob. 36PPSCh. 4.2 - Prob. 37PPSCh. 4.2 - Prob. 38PPSCh. 4.2 - Prob. 39PPSCh. 4.2 - Prob. 40PPSCh. 4.2 - Prob. 41PPSCh. 4.2 - Prob. 42PPSCh. 4.2 - Prob. 43PPSCh. 4.2 - Prob. 44PPSCh. 4.2 - Prob. 45PPSCh. 4.2 - Prob. 46PPSCh. 4.2 - Prob. 47PPSCh. 4.2 - Prob. 48PPSCh. 4.2 - Prob. 49PPSCh. 4.2 - Prob. 50PPSCh. 4.2 - Prob. 51PPSCh. 4.2 - Prob. 52PPSCh. 4.2 - Prob. 53PPSCh. 4.2 - Prob. 54HPCh. 4.2 - Prob. 55HPCh. 4.2 - Prob. 56HPCh. 4.2 - Prob. 57HPCh. 4.2 - Prob. 58HPCh. 4.2 - Prob. 59HPCh. 4.2 - Prob. 60STPCh. 4.2 - Prob. 61STPCh. 4.2 - Prob. 62STPCh. 4.2 - Prob. 63STPCh. 4.2 - Prob. 64SRCh. 4.2 - Prob. 65SRCh. 4.2 - Prob. 66SRCh. 4.2 - Prob. 67SRCh. 4.2 - Prob. 68SRCh. 4.2 - Prob. 69SRCh. 4.2 - Prob. 70SRCh. 4.2 - Prob. 71SRCh. 4.2 - Prob. 72SRCh. 4.2 - Prob. 73SRCh. 4.2 - Prob. 74SRCh. 4.2 - Prob. 75SRCh. 4.2 - Prob. 76SRCh. 4.2 - Prob. 77SRCh. 4.2 - Prob. 78SCh. 4.2 - Prob. 79SCh. 4.2 - Prob. 80SCh. 4.3 - Prob. 1AGPCh. 4.3 - Prob. 1BGPCh. 4.3 - Prob. 2AGPCh. 4.3 - Prob. 2BGPCh. 4.3 - Prob. 3GPCh. 4.3 - Prob. 1CYUCh. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7CYUCh. 4.3 - Prob. 8CYUCh. 4.3 - Prob. 9CYUCh. 4.3 - Prob. 10CYUCh. 4.3 - Prob. 11CYUCh. 4.3 - Prob. 12PPSCh. 4.3 - Prob. 13PPSCh. 4.3 - Prob. 14PPSCh. 4.3 - Prob. 15PPSCh. 4.3 - Prob. 16PPSCh. 4.3 - Prob. 17PPSCh. 4.3 - Prob. 18PPSCh. 4.3 - Prob. 19PPSCh. 4.3 - Prob. 20PPSCh. 4.3 - Prob. 21PPSCh. 4.3 - Prob. 22PPSCh. 4.3 - Prob. 23PPSCh. 4.3 - Prob. 24PPSCh. 4.3 - Prob. 25PPSCh. 4.3 - Prob. 26PPSCh. 4.3 - Prob. 27PPSCh. 4.3 - Prob. 28PPSCh. 4.3 - Prob. 29PPSCh. 4.3 - Prob. 30PPSCh. 4.3 - Prob. 31PPSCh. 4.3 - Prob. 32PPSCh. 4.3 - Prob. 33PPSCh. 4.3 - Prob. 34PPSCh. 4.3 - Prob. 35PPSCh. 4.3 - Prob. 36PPSCh. 4.3 - Prob. 37PPSCh. 4.3 - Prob. 38PPSCh. 4.3 - Prob. 39PPSCh. 4.3 - Prob. 40PPSCh. 4.3 - Prob. 41PPSCh. 4.3 - Prob. 42PPSCh. 4.3 - Prob. 43HPCh. 4.3 - Prob. 44HPCh. 4.3 - Prob. 45HPCh. 4.3 - Prob. 46HPCh. 4.3 - Prob. 47HPCh. 4.3 - Prob. 48STPCh. 4.3 - Prob. 49STPCh. 4.3 - Prob. 50STPCh. 4.3 - Prob. 51STPCh. 4.3 - Prob. 52SRCh. 4.3 - Prob. 53SRCh. 4.3 - Prob. 54SRCh. 4.3 - Prob. 55SRCh. 4.3 - Prob. 56SRCh. 4.3 - Prob. 57SRCh. 4.3 - Prob. 58SRCh. 4.3 - Prob. 59SRCh. 4.3 - Prob. 60SCh. 4.3 - Prob. 61SCh. 4.3 - Prob. 62SCh. 4.3 - Prob. 63SCh. 4.3 - Prob. 64SCh. 4.3 - Prob. 65SCh. 4.4 - Prob. 1AGPCh. 4.4 - Prob. 1BGPCh. 4.4 - Prob. 2AGPCh. 4.4 - Prob. 2BGPCh. 4.4 - Prob. 3GPCh. 4.4 - Prob. 4AGPCh. 4.4 - Prob. 4BGPCh. 4.4 - Prob. 5AGPCh. 4.4 - Prob. 5BGPCh. 4.4 - Prob. 1CYUCh. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Prob. 4CYUCh. 4.4 - Prob. 5CYUCh. 4.4 - Prob. 6CYUCh. 4.4 - Prob. 7CYUCh. 4.4 - Prob. 8CYUCh. 4.4 - Prob. 9CYUCh. 4.4 - Prob. 10CYUCh. 4.4 - Prob. 11CYUCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13PPSCh. 4.4 - Prob. 14PPSCh. 4.4 - Prob. 15PPSCh. 4.4 - Prob. 16PPSCh. 4.4 - Prob. 17PPSCh. 4.4 - Prob. 18PPSCh. 4.4 - Prob. 19PPSCh. 4.4 - Prob. 20PPSCh. 4.4 - Prob. 21PPSCh. 4.4 - Prob. 22PPSCh. 4.4 - Prob. 23PPSCh. 4.4 - Prob. 24PPSCh. 4.4 - Prob. 25PPSCh. 4.4 - Prob. 26PPSCh. 4.4 - Prob. 27PPSCh. 4.4 - Prob. 28PPSCh. 4.4 - Prob. 29PPSCh. 4.4 - Prob. 30PPSCh. 4.4 - Prob. 31PPSCh. 4.4 - Prob. 32PPSCh. 4.4 - Prob. 33PPSCh. 4.4 - Prob. 34PPSCh. 4.4 - Prob. 35PPSCh. 4.4 - Prob. 36PPSCh. 4.4 - Prob. 37PPSCh. 4.4 - Prob. 38PPSCh. 4.4 - Prob. 39PPSCh. 4.4 - Prob. 40PPSCh. 4.4 - Prob. 41PPSCh. 4.4 - Prob. 42PPSCh. 4.4 - Prob. 43PPSCh. 4.4 - Prob. 44HPCh. 4.4 - Prob. 45HPCh. 4.4 - Prob. 46HPCh. 4.4 - Prob. 47HPCh. 4.4 - Prob. 48HPCh. 4.4 - Prob. 49HPCh. 4.4 - Prob. 50STPCh. 4.4 - Prob. 51STPCh. 4.4 - Prob. 52STPCh. 4.4 - Prob. 53STPCh. 4.4 - Prob. 54SRCh. 4.4 - Prob. 55SRCh. 4.4 - Prob. 56SRCh. 4.4 - Prob. 57SRCh. 4.4 - Prob. 58SRCh. 4.4 - Prob. 59SRCh. 4.4 - Prob. 60SRCh. 4.4 - Prob. 61SRCh. 4.4 - Prob. 62SRCh. 4.4 - Prob. 63SRCh. 4.4 - Prob. 64SRCh. 4.4 - Prob. 65SRCh. 4.4 - Prob. 66SRCh. 4.4 - Prob. 67SRCh. 4.4 - Prob. 68SRCh. 4.4 - Prob. 69SRCh. 4.4 - Prob. 70SRCh. 4.4 - Prob. 71SCh. 4.4 - Prob. 72SCh. 4.4 - Prob. 73SCh. 4.4 - Prob. 74SCh. 4.4 - Prob. 75SCh. 4.4 - Prob. 76SCh. 4.5 - Prob. 1AGPCh. 4.5 - Prob. 1BGPCh. 4.5 - Prob. 2AGPCh. 4.5 - Prob. 2BGPCh. 4.5 - Prob. 3AGPCh. 4.5 - Prob. 3BGPCh. 4.5 - Prob. 4AGPCh. 4.5 - Prob. 4BGPCh. 4.5 - Prob. 5GPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4CYUCh. 4.5 - Prob. 5CYUCh. 4.5 - Prob. 6CYUCh. 4.5 - Prob. 7CYUCh. 4.5 - Prob. 8CYUCh. 4.5 - Prob. 9CYUCh. 4.5 - Prob. 10CYUCh. 4.5 - Prob. 11CYUCh. 4.5 - Prob. 12CYUCh. 4.5 - Prob. 13CYUCh. 4.5 - Prob. 14PPSCh. 4.5 - Prob. 15PPSCh. 4.5 - Prob. 16PPSCh. 4.5 - Prob. 17PPSCh. 4.5 - Prob. 18PPSCh. 4.5 - Prob. 19PPSCh. 4.5 - Prob. 20PPSCh. 4.5 - Prob. 21PPSCh. 4.5 - Prob. 22PPSCh. 4.5 - Prob. 23PPSCh. 4.5 - Prob. 24PPSCh. 4.5 - Prob. 25PPSCh. 4.5 - Prob. 26PPSCh. 4.5 - Prob. 27PPSCh. 4.5 - Prob. 28PPSCh. 4.5 - Prob. 29PPSCh. 4.5 - Prob. 30PPSCh. 4.5 - Prob. 31PPSCh. 4.5 - Prob. 32PPSCh. 4.5 - Prob. 33PPSCh. 4.5 - Prob. 34PPSCh. 4.5 - Prob. 35PPSCh. 4.5 - Prob. 36PPSCh. 4.5 - Prob. 37PPSCh. 4.5 - Prob. 38PPSCh. 4.5 - Prob. 39PPSCh. 4.5 - Prob. 40PPSCh. 4.5 - Prob. 41PPSCh. 4.5 - Prob. 42PPSCh. 4.5 - Prob. 43HPCh. 4.5 - Prob. 44HPCh. 4.5 - Prob. 45HPCh. 4.5 - Prob. 46HPCh. 4.5 - Prob. 47HPCh. 4.5 - Prob. 48STPCh. 4.5 - Prob. 49STPCh. 4.5 - Prob. 50STPCh. 4.5 - Prob. 51STPCh. 4.5 - Prob. 52SRCh. 4.5 - Prob. 53SRCh. 4.5 - Prob. 54SRCh. 4.5 - Prob. 55SRCh. 4.5 - Prob. 56SRCh. 4.5 - Prob. 57SRCh. 4.5 - Prob. 58SRCh. 4.5 - Prob. 59SRCh. 4.5 - Prob. 60SCh. 4.5 - Prob. 61SCh. 4.5 - Prob. 62SCh. 4.5 - Prob. 63SCh. 4.5 - Prob. 64SCh. 4.5 - Prob. 65SCh. 4.6 - Prob. 1AGPCh. 4.6 - Prob. 1BGPCh. 4.6 - Prob. 1CGPCh. 4.6 - Prob. 2GPCh. 4.6 - Prob. 3GPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4CYUCh. 4.6 - Prob. 5CYUCh. 4.6 - Prob. 6CYUCh. 4.6 - Prob. 7PPSCh. 4.6 - Prob. 8PPSCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15PPSCh. 4.6 - Prob. 16PPSCh. 4.6 - Prob. 17PPSCh. 4.6 - Prob. 18PPSCh. 4.6 - Prob. 19PPSCh. 4.6 - Prob. 20HPCh. 4.6 - Prob. 21HPCh. 4.6 - Prob. 22HPCh. 4.6 - Prob. 23HPCh. 4.6 - Prob. 24HPCh. 4.6 - Prob. 25STPCh. 4.6 - Prob. 26STPCh. 4.6 - Prob. 27STPCh. 4.6 - Prob. 28STPCh. 4.6 - Prob. 29SRCh. 4.6 - Prob. 30SRCh. 4.6 - Prob. 31SRCh. 4.6 - Prob. 32SRCh. 4.6 - Prob. 33SRCh. 4.6 - Prob. 34SRCh. 4.6 - Prob. 35SRCh. 4.6 - Prob. 36SRCh. 4.6 - Prob. 37SRCh. 4.6 - Prob. 38SCh. 4.6 - Prob. 39SCh. 4.6 - Prob. 40SCh. 4.6 - Prob. 41SCh. 4 - Prob. 1QCCh. 4 - Prob. 2QCCh. 4 - Prob. 3QCCh. 4 - Prob. 4QCCh. 4 - Prob. 5QCCh. 4 - Prob. 6QCCh. 4 - Prob. 7QCCh. 4 - Prob. 8QCCh. 4 - Prob. 9QCCh. 4 - Prob. 10QCCh. 4 - Prob. 11QCCh. 4 - Prob. 12QCCh. 4 - Prob. 13QCCh. 4 - Prob. 14QCCh. 4 - Prob. 15QCCh. 4 - Prob. 16QCCh. 4 - Prob. 17QCCh. 4 - Prob. 18QCCh. 4 - Prob. 19QCCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 24MCQCh. 4 - Prob. 25MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 35SGRCh. 4 - Prob. 36SGRCh. 4 - Prob. 37SGRCh. 4 - Prob. 38SGRCh. 4 - Prob. 39SGRCh. 4 - Prob. 40SGRCh. 4 - Prob. 41SGRCh. 4 - Prob. 42SGRCh. 4 - Prob. 43SGRCh. 4 - Prob. 44SGRCh. 4 - Prob. 45SGRCh. 4 - Prob. 46SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 21PTCh. 4 - Prob. 22PTCh. 4 - Prob. 23PTCh. 4 - Prob. 24PTCh. 4 - Prob. 25PTCh. 4 - Prob. 26PTCh. 4 - Prob. 27PTCh. 4 - Prob. 28PTCh. 4 - Prob. 29PTCh. 4 - Prob. 30PTCh. 4 - Prob. 31PTCh. 4 - Prob. 32PTCh. 4 - Prob. 33PTCh. 4 - Prob. 1ECh. 4 - Prob. 2ECh. 4 - Prob. 3ECh. 4 - Prob. 1STPCh. 4 - Prob. 2STPCh. 4 - Prob. 3STPCh. 4 - Prob. 4STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 10STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 4 - Prob. 13STPCh. 4 - Prob. 14STPCh. 4 - Prob. 15STP

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