Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
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Chapter 4, Problem 15STP

(a)

To determine

To write:an expression for the amount of money C spent on Thursday

(a)

Expert Solution
Check Mark

Answer to Problem 15STP

The required expression is d−0.80

Explanation of Solution

Given:

Thursday - spent S0.80 less than this amount

Friday - twice as much as he did on Thursday

Calculation:

To find the amount C spent on Thursday, subtract 0.80 from the amount he spent on Wednesday.

So, the amount Carols spent on Thursday can be expressed as d−0.80 .

Conclusion:

Therefore, the required expression is d−0.80

(b)

To determine

To write: an expression for the amount of money C spenton Friday.

(b)

Expert Solution
Check Mark

Answer to Problem 15STP

The required expression is 2(d−0.80)

Explanation of Solution

Given:

Thursday - spent S0.80 less than this amount

Friday - twice as much as he did on Thursday

Calculation:

To find the amount C spent on Friday, multiply the amount he spent on Thursday by two.

So, the amount Carols spent on Friday can be expressed as 2(d−0.80) .

Conclusion:

Therefore, the required expression is 2(d−0.80)

(c)

To determine

To write: the amount of money C spentfor three days

(c)

Expert Solution
Check Mark

Answer to Problem 15STP

The amount of money C spentfor three days is 4d−2.4

Explanation of Solution

Given:

Thursday - spent S0.80 less than this amount

Friday - twice as much as he did on Thursday

Calculation:

The total amount of money C spent for lunch all three days:

  d+(d−0.80)+2(d−0.80)d+d−0.80+2d−1.64d−2.4

Conclusion:

Therefore, the amount of money C spentfor three days is 4d−2.4

(c)

To determine

To write: the amount of money C spentfor three days

(c)

Expert Solution
Check Mark

Answer to Problem 15STP

The amount of money C spentfor three days is$29.60

Explanation of Solution

Given:

C spent $8 for lunch on Wednesday

Calculation:

Putting value of d = 8,

  4d−2.44(8)−2.432−2.4$29.60.

Conclusion:

Therefore, the amount of money C spentfor three days is$29.60

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Chapter 4, Problem 14STP
Next
Chapter 5.1, Problem 1GP

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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