Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 8.1, Problem 5GP
To determine

The value of ba .

Expert Solution & Answer
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Answer to Problem 5GP

  ba=12

Explanation of Solution

Given:

The proportions, a+1b1=51 anda1b+1=11 .

Concept Used:

  • To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
  • To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
  • To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
  • To get rid of a number in division from one side, multiply the same number both sides of equal sign.
  • Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
  • Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the value of the ratio ba , first simplify both proportions and get two equations as shown below

  a+1b1=51a+1b1×(b1)=51×(b1)a+1=5b5a+15b=5b55ba+15b=5a+15b1=51a5b=6 ......(i)

On solving the second proportion, it gives

  a1b+1=11a1b+1×b+1=11×b+1a1=b+1a1b=b+1bab1=1ab1+1=1+1ab=2 ......(ii)

Now solve equation (ii) for a and substitute that in equation (i) and simplify further as shown below

  ab=2ab+b=2+ba=2+bPut the value of a in equation1a5b=62+b5b=624b=624b2=624b=84b4=84b=2b=2a=b+2a=2+2a=4

Thus, the solution of the proportion is ba=24=12 .

Chapter 8 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYUCh. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 10CYUCh. 8.1 - Prob. 11CYUCh. 8.1 - Prob. 12CYUCh. 8.1 - Prob. 13CYUCh. 8.1 - Prob. 14CYUCh. 8.1 - Prob. 15CYUCh. 8.1 - Prob. 16CYUCh. 8.1 - Prob. 17CYUCh. 8.1 - Prob. 18CYUCh. 8.1 - Prob. 19CYUCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34PPSCh. 8.1 - Prob. 35PPSCh. 8.1 - Prob. 36PPSCh. 8.1 - Prob. 37PPSCh. 8.1 - Prob. 38PPSCh. 8.1 - Prob. 39PPSCh. 8.1 - Prob. 40PPSCh. 8.1 - Prob. 41PPSCh. 8.1 - Prob. 42PPSCh. 8.1 - Prob. 43PPSCh. 8.1 - Prob. 44PPSCh. 8.1 - Prob. 45PPSCh. 8.1 - Prob. 46PPSCh. 8.1 - Prob. 47PPSCh. 8.1 - Prob. 48PPSCh. 8.1 - Prob. 49PPSCh. 8.1 - Prob. 50PPSCh. 8.1 - Prob. 51PPSCh. 8.1 - Prob. 52PPSCh. 8.1 - Prob. 53PPSCh. 8.1 - Prob. 54PPSCh. 8.1 - Prob. 55PPSCh. 8.1 - Prob. 56PPSCh. 8.1 - Prob. 57PPSCh. 8.1 - Prob. 58PPSCh. 8.1 - Prob. 59PPSCh. 8.1 - Prob. 60PPSCh. 8.1 - Prob. 61HPCh. 8.1 - Prob. 62HPCh. 8.1 - Prob. 63HPCh. 8.1 - Prob. 64HPCh. 8.1 - Prob. 65HPCh. 8.1 - Prob. 66PFACh. 8.1 - Prob. 67PFACh. 8.1 - Prob. 68PFACh. 8.1 - Prob. 69PFACh. 8.1 - Prob. 70PFACh. 8.1 - Prob. 71PFACh. 8.1 - Prob. 72PFACh. 8.2 - Prob. 1AGPCh. 8.2 - Prob. 1BGPCh. 8.2 - Prob. 2AGPCh. 8.2 - Prob. 2BGPCh. 8.2 - Prob. 3GPCh. 8.2 - Prob. 4AGPCh. 8.2 - Prob. 4BGPCh. 8.2 - Prob. 1CYUCh. 8.2 - Prob. 2CYUCh. 8.2 - Prob. 3CYUCh. 8.2 - Prob. 4CYUCh. 8.2 - Prob. 5CYUCh. 8.2 - Prob. 6CYUCh. 8.2 - Prob. 7CYUCh. 8.2 - Prob. 8CYUCh. 8.2 - Prob. 9CYUCh. 8.2 - Prob. 10CYUCh. 8.2 - Prob. 11CYUCh. 8.2 - Prob. 12CYUCh. 8.2 - Prob. 13CYUCh. 8.2 - Prob. 14CYUCh. 8.2 - Prob. 15CYUCh. 8.2 - Prob. 16CYUCh. 8.2 - Prob. 17CYUCh. 8.2 - Prob. 18PPSCh. 8.2 - Prob. 19PPSCh. 8.2 - Prob. 20PPSCh. 8.2 - Prob. 21PPSCh. 8.2 - Prob. 22PPSCh. 8.2 - Prob. 23PPSCh. 8.2 - Prob. 24PPSCh. 8.2 - Prob. 25PPSCh. 8.2 - Prob. 26PPSCh. 8.2 - Prob. 27PPSCh. 8.2 - Prob. 28PPSCh. 8.2 - Prob. 29PPSCh. 8.2 - Prob. 30PPSCh. 8.2 - Prob. 31PPSCh. 8.2 - Prob. 32PPSCh. 8.2 - Prob. 33PPSCh. 8.2 - Prob. 34PPSCh. 8.2 - Prob. 35PPSCh. 8.2 - Prob. 36PPSCh. 8.2 - Prob. 37PPSCh. 8.2 - Prob. 38PPSCh. 8.2 - Prob. 39PPSCh. 8.2 - Prob. 40PPSCh. 8.2 - Prob. 41PPSCh. 8.2 - Prob. 42PPSCh. 8.2 - Prob. 43PPSCh. 8.2 - Prob. 44PPSCh. 8.2 - Prob. 45HPCh. 8.2 - Prob. 46HPCh. 8.2 - Prob. 47HPCh. 8.2 - Prob. 48HPCh. 8.2 - Prob. 49HPCh. 8.2 - Prob. 50HPCh. 8.2 - Prob. 51PFACh. 8.2 - Prob. 52PFACh. 8.2 - Prob. 53PFACh. 8.2 - Prob. 54PFACh. 8.3 - Prob. 1AGPCh. 8.3 - Prob. 1BGPCh. 8.3 - Prob. 2AGPCh. 8.3 - Prob. 2BGPCh. 8.3 - Prob. 2CGPCh. 8.3 - Prob. 2DGPCh. 8.3 - Prob. 3GPCh. 8.3 - Prob. 4AGPCh. 8.3 - Prob. 4BGPCh. 8.3 - Prob. 1CYUCh. 8.3 - Prob. 2CYUCh. 8.3 - Prob. 3CYUCh. 8.3 - Prob. 4CYUCh. 8.3 - Prob. 5CYUCh. 8.3 - Prob. 6CYUCh. 8.3 - Prob. 7CYUCh. 8.3 - Prob. 8CYUCh. 8.3 - Prob. 9CYUCh. 8.3 - Prob. 10CYUCh. 8.3 - Prob. 11CYUCh. 8.3 - Prob. 12PPSCh. 8.3 - Prob. 13PPSCh. 8.3 - Prob. 14PPSCh. 8.3 - Prob. 15PPSCh. 8.3 - Prob. 16PPSCh. 8.3 - Prob. 17PPSCh. 8.3 - Prob. 18PPSCh. 8.3 - Prob. 19PPSCh. 8.3 - Prob. 20PPSCh. 8.3 - Prob. 21PPSCh. 8.3 - Prob. 22PPSCh. 8.3 - Prob. 23PPSCh. 8.3 - Prob. 24PPSCh. 8.3 - Prob. 25PPSCh. 8.3 - Prob. 26PPSCh. 8.3 - Prob. 27PPSCh. 8.3 - Prob. 28PPSCh. 8.3 - Prob. 29PPSCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 33PPSCh. 8.3 - Prob. 34PPSCh. 8.3 - Prob. 35PPSCh. 8.3 - Prob. 36PPSCh. 8.3 - Prob. 37PPSCh. 8.3 - Prob. 38PPSCh. 8.3 - Prob. 39PPSCh. 8.3 - Prob. 40PPSCh. 8.3 - Prob. 41PPSCh. 8.3 - Prob. 42PPSCh. 8.3 - Prob. 43PPSCh. 8.3 - Prob. 44PPSCh. 8.3 - Prob. 45HPCh. 8.3 - Prob. 46HPCh. 8.3 - Prob. 47HPCh. 8.3 - Prob. 48HPCh. 8.3 - Prob. 49HPCh. 8.3 - Prob. 50PFACh. 8.3 - Prob. 51PFACh. 8.3 - Prob. 52PFACh. 8.3 - Prob. 53PFACh. 8.3 - Prob. 54PFACh. 8.3 - Prob. 55PFACh. 8.3 - Prob. 56PFACh. 8.3 - Prob. 57PFACh. 8.3 - Prob. 58PFACh. 8.3 - Prob. 59PFACh. 8.4 - Prob. 1AGPCh. 8.4 - Prob. 1BGPCh. 8.4 - Prob. 2AGPCh. 8.4 - Prob. 2BGPCh. 8.4 - Prob. 3GPCh. 8.4 - Prob. 4AGPCh. 8.4 - Prob. 4BGPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8CYUCh. 8.4 - Prob. 9CYUCh. 8.4 - Prob. 10CYUCh. 8.4 - Prob. 11CYUCh. 8.4 - Prob. 12PPSCh. 8.4 - Prob. 13PPSCh. 8.4 - Prob. 14PPSCh. 8.4 - Prob. 15PPSCh. 8.4 - Prob. 16PPSCh. 8.4 - Prob. 17PPSCh. 8.4 - Prob. 18PPSCh. 8.4 - Prob. 19PPSCh. 8.4 - Prob. 20PPSCh. 8.4 - Prob. 21PPSCh. 8.4 - Prob. 22PPSCh. 8.4 - Prob. 23PPSCh. 8.4 - Prob. 24PPSCh. 8.4 - Prob. 25PPSCh. 8.4 - Prob. 26PPSCh. 8.4 - Prob. 27PPSCh. 8.4 - Prob. 28PPSCh. 8.4 - Prob. 29PPSCh. 8.4 - Prob. 30PPSCh. 8.4 - Prob. 31PPSCh. 8.4 - Prob. 32PPSCh. 8.4 - Prob. 33PPSCh. 8.4 - Prob. 34PPSCh. 8.4 - Prob. 35PPSCh. 8.4 - Prob. 36PPSCh. 8.4 - Prob. 37PPSCh. 8.4 - Prob. 38PPSCh. 8.4 - Prob. 39PPSCh. 8.4 - Prob. 40PPSCh. 8.4 - Prob. 41PPSCh. 8.4 - Prob. 42PPSCh. 8.4 - Prob. 43PPSCh. 8.4 - Prob. 44PPSCh. 8.4 - Prob. 45PPSCh. 8.4 - Prob. 46PPSCh. 8.4 - Prob. 47PPSCh. 8.4 - Prob. 48PPSCh. 8.4 - Prob. 49PPSCh. 8.4 - Prob. 50PPSCh. 8.4 - Prob. 51PPSCh. 8.4 - Prob. 52PPSCh. 8.4 - Prob. 53PPSCh. 8.4 - Prob. 54PPSCh. 8.4 - Prob. 55PPSCh. 8.4 - Prob. 56PPSCh. 8.4 - Prob. 57HPCh. 8.4 - Prob. 58HPCh. 8.4 - Prob. 59HPCh. 8.4 - Prob. 60HPCh. 8.4 - Prob. 61HPCh. 8.4 - Prob. 62PFACh. 8.4 - Prob. 63PFACh. 8.4 - Prob. 64PFACh. 8.4 - Prob. 65PFACh. 8.4 - Prob. 66PFACh. 8.4 - Prob. 67PFACh. 8.4 - Prob. 68PFACh. 8.4 - Prob. 69PFACh. 8.4 - Prob. 70PFACh. 8.4 - Prob. 1MCQCh. 8.4 - Prob. 2MCQCh. 8.4 - Prob. 3MCQCh. 8.4 - Prob. 4MCQCh. 8.4 - Prob. 5MCQCh. 8.4 - Prob. 6MCQCh. 8.4 - Prob. 7MCQCh. 8.4 - Prob. 8MCQCh. 8.4 - Prob. 9MCQCh. 8.4 - Prob. 10MCQCh. 8.4 - Prob. 11MCQCh. 8.4 - Prob. 12MCQCh. 8.4 - Prob. 13MCQCh. 8.4 - Prob. 14MCQCh. 8.4 - Prob. 15MCQCh. 8.4 - Prob. 16MCQCh. 8.4 - Prob. 17MCQCh. 8.4 - Prob. 18MCQCh. 8.4 - Prob. 19MCQCh. 8.4 - Prob. 20MCQCh. 8.4 - Prob. 21MCQCh. 8.4 - Prob. 22MCQCh. 8.4 - Prob. 23MCQCh. 8.4 - Prob. 24MCQCh. 8.4 - Prob. 25MCQCh. 8.4 - Prob. 26MCQCh. 8.4 - Prob. 27MCQCh. 8.4 - Prob. 28MCQCh. 8.4 - Prob. 29MCQCh. 8.4 - Prob. 30MCQCh. 8.4 - Prob. 31MCQCh. 8.4 - Prob. 32MCQCh. 8.4 - Prob. 33MCQCh. 8.4 - Prob. 34MCQCh. 8.5 - Prob. 1AGPCh. 8.5 - Prob. 1BGPCh. 8.5 - Prob. 2GPCh. 8.5 - Prob. 3AGPCh. 8.5 - Prob. 3BGPCh. 8.5 - Prob. 3CGPCh. 8.5 - Prob. 3DGPCh. 8.5 - Prob. 4AGPCh. 8.5 - Prob. 4BGPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4CYUCh. 8.5 - Prob. 5CYUCh. 8.5 - Prob. 6CYUCh. 8.5 - Prob. 7CYUCh. 8.5 - Prob. 8CYUCh. 8.5 - Prob. 9CYUCh. 8.5 - Prob. 10CYUCh. 8.5 - Prob. 11CYUCh. 8.5 - Prob. 12CYUCh. 8.5 - Prob. 13CYUCh. 8.5 - Prob. 14CYUCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23PPSCh. 8.5 - Prob. 24PPSCh. 8.5 - Prob. 25PPSCh. 8.5 - Prob. 26PPSCh. 8.5 - Prob. 27PPSCh. 8.5 - Prob. 28PPSCh. 8.5 - Prob. 29PPSCh. 8.5 - Prob. 30PPSCh. 8.5 - Prob. 31PPSCh. 8.5 - Prob. 32PPSCh. 8.5 - Prob. 33PPSCh. 8.5 - Prob. 34PPSCh. 8.5 - Prob. 35PPSCh. 8.5 - Prob. 36PPSCh. 8.5 - Prob. 37PPSCh. 8.5 - Prob. 38PPSCh. 8.5 - Prob. 39PPSCh. 8.5 - Prob. 40PPSCh. 8.5 - Prob. 41PPSCh. 8.5 - Prob. 42PPSCh. 8.5 - Prob. 43PPSCh. 8.5 - Prob. 44PPSCh. 8.5 - Prob. 45PPSCh. 8.5 - Prob. 46PPSCh. 8.5 - Prob. 47PPSCh. 8.5 - Prob. 48PPSCh. 8.5 - Prob. 49PPSCh. 8.5 - Prob. 50PPSCh. 8.5 - Prob. 51PPSCh. 8.5 - Prob. 52HPCh. 8.5 - Prob. 53HPCh. 8.5 - Prob. 54HPCh. 8.5 - Prob. 55HPCh. 8.5 - Prob. 56HPCh. 8.5 - Prob. 57PFACh. 8.5 - Prob. 58PFACh. 8.5 - Prob. 59PFACh. 8.5 - Prob. 60PFACh. 8.5 - Prob. 61PFACh. 8.5 - Prob. 62PFACh. 8.5 - Prob. 63PFACh. 8.5 - Prob. 64PFACh. 8.5 - Prob. 65PFACh. 8.6 - Prob. 1AGPCh. 8.6 - Prob. 1BGPCh. 8.6 - Prob. 2AGPCh. 8.6 - Prob. 2BGPCh. 8.6 - Prob. 3AGPCh. 8.6 - Prob. 3BGPCh. 8.6 - Prob. 4AGPCh. 8.6 - Prob. 4BGPCh. 8.6 - Prob. 5AGPCh. 8.6 - Prob. 5BGPCh. 8.6 - Prob. 1CYUCh. 8.6 - Prob. 2CYUCh. 8.6 - Prob. 3CYUCh. 8.6 - Prob. 4CYUCh. 8.6 - Prob. 5CYUCh. 8.6 - Prob. 6CYUCh. 8.6 - Prob. 7CYUCh. 8.6 - Prob. 8CYUCh. 8.6 - Prob. 9CYUCh. 8.6 - Prob. 10CYUCh. 8.6 - Prob. 11PPSCh. 8.6 - Prob. 12PPSCh. 8.6 - Prob. 13PPSCh. 8.6 - Prob. 14PPSCh. 8.6 - Prob. 15PPSCh. 8.6 - Prob. 16PPSCh. 8.6 - Prob. 17PPSCh. 8.6 - Prob. 18PPSCh. 8.6 - Prob. 19PPSCh. 8.6 - Prob. 20PPSCh. 8.6 - Prob. 21PPSCh. 8.6 - Prob. 22PPSCh. 8.6 - Prob. 23PPSCh. 8.6 - Prob. 24PPSCh. 8.6 - Prob. 25PPSCh. 8.6 - Prob. 26PPSCh. 8.6 - Prob. 27PPSCh. 8.6 - Prob. 28PPSCh. 8.6 - Prob. 29PPSCh. 8.6 - Prob. 30PPSCh. 8.6 - Prob. 31PPSCh. 8.6 - Prob. 32PPSCh. 8.6 - Prob. 33PPSCh. 8.6 - Prob. 34PPSCh. 8.6 - Prob. 35PPSCh. 8.6 - Prob. 36PPSCh. 8.6 - Prob. 37PPSCh. 8.6 - Prob. 38PPSCh. 8.6 - Prob. 39PPSCh. 8.6 - Prob. 40PPSCh. 8.6 - Prob. 41PPSCh. 8.6 - Prob. 42PPSCh. 8.6 - Prob. 43PPSCh. 8.6 - Prob. 44HPCh. 8.6 - Prob. 45HPCh. 8.6 - Prob. 46HPCh. 8.6 - Prob. 47HPCh. 8.6 - Prob. 48HPCh. 8.6 - Prob. 49HPCh. 8.6 - Prob. 50HPCh. 8.6 - Prob. 51HPCh. 8.6 - Prob. 52HPCh. 8.6 - Prob. 53HPCh. 8.6 - Prob. 54PFACh. 8.6 - Prob. 55PFACh. 8.6 - Prob. 56PFACh. 8.6 - Prob. 57PFACh. 8.6 - Prob. 58PFACh. 8.6 - Prob. 59PFACh. 8.6 - Prob. 60PFACh. 8.6 - Prob. 61PFACh. 8.6 - Prob. 62PFACh. 8.7 - Prob. 1AGPCh. 8.7 - Prob. 1BGPCh. 8.7 - Prob. 1CGPCh. 8.7 - Prob. 1DGPCh. 8.7 - Prob. 2AGPCh. 8.7 - Prob. 2BGPCh. 8.7 - Prob. 3GPCh. 8.7 - Prob. 4AGPCh. 8.7 - Prob. 4BGPCh. 8.7 - Prob. 5AGPCh. 8.7 - Prob. 5BGPCh. 8.7 - Prob. 5CGPCh. 8.7 - Prob. 5DGPCh. 8.7 - Prob. 1CYUCh. 8.7 - Prob. 2CYUCh. 8.7 - Prob. 3CYUCh. 8.7 - Prob. 4CYUCh. 8.7 - Prob. 5CYUCh. 8.7 - Prob. 6CYUCh. 8.7 - Prob. 7CYUCh. 8.7 - Prob. 8CYUCh. 8.7 - Prob. 9CYUCh. 8.7 - Prob. 10CYUCh. 8.7 - Prob. 11CYUCh. 8.7 - Prob. 12CYUCh. 8.7 - Prob. 13CYUCh. 8.7 - Prob. 14CYUCh. 8.7 - Prob. 15CYUCh. 8.7 - Prob. 16CYUCh. 8.7 - Prob. 17CYUCh. 8.7 - Prob. 18CYUCh. 8.7 - Prob. 19CYUCh. 8.7 - Prob. 20PPSCh. 8.7 - Prob. 21PPSCh. 8.7 - Prob. 22PPSCh. 8.7 - Prob. 23PPSCh. 8.7 - Prob. 24PPSCh. 8.7 - Prob. 25PPSCh. 8.7 - Prob. 26PPSCh. 8.7 - Prob. 27PPSCh. 8.7 - Prob. 28PPSCh. 8.7 - Prob. 29PPSCh. 8.7 - Prob. 30PPSCh. 8.7 - Prob. 31PPSCh. 8.7 - Prob. 32PPSCh. 8.7 - Prob. 33PPSCh. 8.7 - Prob. 34PPSCh. 8.7 - Prob. 35PPSCh. 8.7 - Prob. 36PPSCh. 8.7 - Prob. 37PPSCh. 8.7 - Prob. 38PPSCh. 8.7 - Prob. 39PPSCh. 8.7 - Prob. 40PPSCh. 8.7 - Prob. 41PPSCh. 8.7 - Prob. 42PPSCh. 8.7 - Prob. 43PPSCh. 8.7 - Prob. 44PPSCh. 8.7 - Prob. 45PPSCh. 8.7 - Prob. 46PPSCh. 8.7 - Prob. 47HPCh. 8.7 - Prob. 48HPCh. 8.7 - Prob. 49HPCh. 8.7 - Prob. 50HPCh. 8.7 - Prob. 51HPCh. 8.7 - Prob. 52HPCh. 8.7 - Prob. 53HPCh. 8.7 - Prob. 54PFACh. 8.7 - Prob. 55PFACh. 8.7 - Prob. 56PFACh. 8.7 - Prob. 57PFACh. 8.7 - Prob. 58PFACh. 8.7 - Prob. 59PFACh. 8.7 - Prob. 60PFACh. 8.7 - Prob. 61PFACh. 8.7 - Prob. 62PFACh. 8 - Prob. 1SGRCh. 8 - Prob. 2SGRCh. 8 - Prob. 3SGRCh. 8 - Prob. 4SGRCh. 8 - Prob. 5SGRCh. 8 - Prob. 6SGRCh. 8 - Prob. 7SGRCh. 8 - Prob. 8SGRCh. 8 - Prob. 9SGRCh. 8 - Prob. 10SGRCh. 8 - Prob. 11SGRCh. 8 - Prob. 12SGRCh. 8 - Prob. 13SGRCh. 8 - Prob. 14SGRCh. 8 - Prob. 15SGRCh. 8 - Prob. 16SGRCh. 8 - Prob. 17SGRCh. 8 - Prob. 18SGRCh. 8 - Prob. 19SGRCh. 8 - Prob. 20SGRCh. 8 - Prob. 21SGRCh. 8 - Prob. 22SGRCh. 8 - Prob. 23SGRCh. 8 - Prob. 24SGRCh. 8 - Prob. 25SGRCh. 8 - Prob. 26SGRCh. 8 - Prob. 27SGRCh. 8 - Prob. 28SGRCh. 8 - Prob. 29SGRCh. 8 - Prob. 30SGRCh. 8 - Prob. 31SGRCh. 8 - Prob. 32SGRCh. 8 - Prob. 33SGRCh. 8 - Prob. 34SGRCh. 8 - Prob. 35SGRCh. 8 - Prob. 36SGRCh. 8 - Prob. 37SGRCh. 8 - Prob. 38SGRCh. 8 - Prob. 39SGRCh. 8 - Prob. 40SGRCh. 8 - Prob. 41SGRCh. 8 - Prob. 42SGRCh. 8 - Prob. 43SGRCh. 8 - Prob. 44SGRCh. 8 - Prob. 45SGRCh. 8 - Prob. 46SGRCh. 8 - Prob. 47SGRCh. 8 - Prob. 48SGRCh. 8 - Prob. 49SGRCh. 8 - Prob. 50SGRCh. 8 - Prob. 51SGRCh. 8 - Prob. 52SGRCh. 8 - Prob. 53SGRCh. 8 - Prob. 54SGRCh. 8 - Prob. 55SGRCh. 8 - Prob. 56SGRCh. 8 - Prob. 57SGRCh. 8 - Prob. 58SGRCh. 8 - Prob. 59SGRCh. 8 - Prob. 60SGRCh. 8 - Prob. 61SGRCh. 8 - Prob. 62SGRCh. 8 - Prob. 63SGRCh. 8 - Prob. 64SGRCh. 8 - Prob. 65SGRCh. 8 - Prob. 66SGRCh. 8 - Prob. 67SGRCh. 8 - Prob. 68SGRCh. 8 - Prob. 69SGRCh. 8 - Prob. 70SGRCh. 8 - Prob. 71SGRCh. 8 - Prob. 72SGRCh. 8 - Prob. 73SGRCh. 8 - Prob. 74SGRCh. 8 - Prob. 75SGRCh. 8 - Prob. 76SGRCh. 8 - Prob. 77SGRCh. 8 - Prob. 78SGRCh. 8 - Prob. 79SGRCh. 8 - Prob. 80SGRCh. 8 - Prob. 81SGRCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 22PTCh. 8 - Prob. 23PTCh. 8 - Prob. 24PTCh. 8 - Prob. 25PTCh. 8 - Prob. 26PTCh. 8 - Prob. 27PTCh. 8 - Prob. 28PTCh. 8 - Prob. 29PTCh. 8 - Prob. 30PTCh. 8 - Prob. 31PTCh. 8 - Prob. 32PTCh. 8 - Prob. 33PTCh. 8 - Prob. 1PFACh. 8 - Prob. 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