High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Matrices
‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…
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Chapter 12.1, Problem 22PPE
To determine

To find: the greatest numerical increase in students participating between 2005 and 2010 by using matrices.

Expert Solution & Answer
Check Mark

Answer to Problem 22PPE

SOCCER.

Explanation of Solution

Given:

The below table shows that the number of participants in various sports in the year 2005 and 2010:

    Sports participant, 2005
    SportsStudents Adults
    Base-ball739215
    Basket-ball1023437
    Football 69058
    Soccer 154642
    Sports participant, 2010
    SportsStudents Adults
    Base-ball892351
    Basket-ball1114483
    Football 65364
    Soccer 171231

Calculation:

Using matrices to organize the information.

Sports participant, 2005

  [739        2151023     437690       581546      42]

Sports participant, 2010

  [852        2151114     483653       641712      37]

Now, to find the increase, subtract the sports participation for 2010 by the participation for 2005. Therefore,

  S2010−S2005=[852        3511114     483653       641712      37]−[739        2151023     437690       581546      42]                        =[852−739          351−2151114−1023     483−437653−690          64−581712−1546      37−42]=[113        13691           46−37          6166      −5]

Now, find the greatest numerical value in the first column which corresponds to the student’s participation.

Thus, 166 is the greatest number which corresponds to SOCCER.

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Chapter 12.1, Problem 21PPE
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Chapter 12.1, Problem 23PPE

Chapter 12 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 12.1 - Prob. 1PCh. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 1LCCh. 12.1 - Prob. 2LCCh. 12.1 - Prob. 3LCCh. 12.1 - Prob. 4LCCh. 12.1 - Prob. 5LCCh. 12.1 - Prob. 6LCCh. 12.1 - Prob. 7LC
Ch. 12.1 - Prob. 8PPECh. 12.1 - Prob. 9PPECh. 12.1 - Prob. 10PPECh. 12.1 - Prob. 11PPECh. 12.1 - Prob. 12PPECh. 12.1 - Prob. 13PPECh. 12.1 - Prob. 14PPECh. 12.1 - Prob. 15PPECh. 12.1 - Prob. 16PPECh. 12.1 - Prob. 17PPECh. 12.1 - Prob. 18PPECh. 12.1 - Prob. 19PPECh. 12.1 - Prob. 20PPECh. 12.1 - Prob. 21PPECh. 12.1 - Prob. 22PPECh. 12.1 - Prob. 23PPECh. 12.1 - Prob. 24PPECh. 12.1 - Prob. 25PPECh. 12.1 - Prob. 26PPECh. 12.1 - Prob. 27PPECh. 12.1 - Prob. 28PPECh. 12.1 - Prob. 29PPECh. 12.1 - Prob. 30PPECh. 12.1 - Prob. 31PPECh. 12.1 - Prob. 32PPECh. 12.1 - Prob. 33STPCh. 12.1 - Prob. 34STPCh. 12.1 - Prob. 35STPCh. 12.1 - Prob. 36STPCh. 12.1 - Prob. 37MRCh. 12.1 - Prob. 38MRCh. 12.1 - Prob. 39MRCh. 12.1 - Prob. 40MRCh. 12.1 - Prob. 41MRCh. 12.2 - Prob. 1PCh. 12.2 - Prob. 2PCh. 12.2 - Prob. 3PCh. 12.2 - Prob. 4PCh. 12.2 - Prob. 1LCCh. 12.2 - Prob. 2LCCh. 12.2 - Prob. 3LCCh. 12.2 - Prob. 4LCCh. 12.2 - Prob. 5LCCh. 12.2 - Prob. 6LCCh. 12.2 - Prob. 7PPECh. 12.2 - Prob. 8PPECh. 12.2 - Prob. 9PPECh. 12.2 - Prob. 10PPECh. 12.2 - Prob. 11PPECh. 12.2 - Prob. 12PPECh. 12.2 - Prob. 13PPECh. 12.2 - Prob. 14PPECh. 12.2 - Prob. 15PPECh. 12.2 - Prob. 16PPECh. 12.2 - Prob. 17PPECh. 12.2 - Prob. 18PPECh. 12.2 - Prob. 19PPECh. 12.2 - Prob. 20PPECh. 12.2 - Prob. 21PPECh. 12.2 - Prob. 22PPECh. 12.2 - Prob. 23PPECh. 12.2 - Prob. 24PPECh. 12.2 - Prob. 25PPECh. 12.2 - Prob. 26PPECh. 12.2 - Prob. 27PPECh. 12.2 - Prob. 28PPECh. 12.2 - Prob. 29PPECh. 12.2 - Prob. 30PPECh. 12.2 - Prob. 31PPECh. 12.2 - Prob. 32PPECh. 12.2 - Prob. 33PPECh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37STPCh. 12.2 - Prob. 38MRCh. 12.2 - Prob. 39MRCh. 12.2 - Prob. 40MRCh. 12.2 - Prob. 41MRCh. 12.3 - Prob. 1PCh. 12.3 - Prob. 2PCh. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.3 - Prob. 5PCh. 12.3 - Prob. 1LCCh. 12.3 - Prob. 2LCCh. 12.3 - Prob. 3LCCh. 12.3 - Prob. 4LCCh. 12.3 - Prob. 5LCCh. 12.3 - Prob. 6LCCh. 12.3 - Prob. 7PPECh. 12.3 - Prob. 8PPECh. 12.3 - Prob. 9PPECh. 12.3 - Prob. 10PPECh. 12.3 - Prob. 11PPECh. 12.3 - Prob. 12PPECh. 12.3 - Prob. 13PPECh. 12.3 - Prob. 14PPECh. 12.3 - Prob. 15PPECh. 12.3 - Prob. 16PPECh. 12.3 - Prob. 17PPECh. 12.3 - Prob. 18PPECh. 12.3 - Prob. 19PPECh. 12.3 - Prob. 20PPECh. 12.3 - Prob. 21PPECh. 12.3 - Prob. 22PPECh. 12.3 - Prob. 23PPECh. 12.3 - Prob. 24PPECh. 12.3 - Prob. 25PPECh. 12.3 - Prob. 26PPECh. 12.3 - Prob. 27PPECh. 12.3 - Prob. 28PPECh. 12.3 - Prob. 29PPECh. 12.3 - Prob. 30PPECh. 12.3 - Prob. 1MPCh. 12.3 - Prob. 1CBCh. 12.3 - Prob. 2CBCh. 12.3 - Prob. 3CBCh. 12.3 - Prob. 4CBCh. 12.4 - Prob. 1PCh. 12.4 - Prob. 2PCh. 12.4 - Prob. 3PCh. 12.4 - Prob. 4PCh. 12.4 - Prob. 1LCCh. 12.4 - Prob. 2LCCh. 12.4 - Prob. 3LCCh. 12.4 - Prob. 4LCCh. 12.4 - Prob. 5LCCh. 12.4 - Prob. 6LCCh. 12.4 - Prob. 7LCCh. 12.4 - Prob. 8PPECh. 12.4 - Prob. 9PPECh. 12.4 - Prob. 10PPECh. 12.4 - Prob. 11PPECh. 12.4 - Prob. 12PPECh. 12.4 - Prob. 13PPECh. 12.4 - Prob. 14PPECh. 12.4 - Prob. 15PPECh. 12.4 - Prob. 16PPECh. 12.4 - Prob. 17PPECh. 12.4 - Prob. 18PPECh. 12.4 - Prob. 19PPECh. 12.4 - Prob. 20PPECh. 12.4 - Prob. 21PPECh. 12.4 - Prob. 22PPECh. 12.4 - Prob. 23PPECh. 12.4 - Prob. 24PPECh. 12.4 - Prob. 25PPECh. 12.4 - Prob. 26PPECh. 12.4 - Prob. 1MPCh. 12.5 - Prob. 1PCh. 12.5 - Prob. 2PCh. 12.5 - Prob. 3PCh. 12.5 - Prob. 4PCh. 12.5 - Prob. 5PCh. 12.5 - Prob. 1LCCh. 12.5 - Prob. 2LCCh. 12.5 - Prob. 3LCCh. 12.5 - Prob. 4LCCh. 12.5 - Prob. 5LCCh. 12.5 - Prob. 6LCCh. 12.5 - Prob. 7PPECh. 12.5 - Prob. 8PPECh. 12.5 - Prob. 9PPECh. 12.5 - Prob. 10PPECh. 12.5 - Prob. 11PPECh. 12.5 - Prob. 12PPECh. 12.5 - Prob. 13PPECh. 12.5 - Prob. 14PPECh. 12.5 - Prob. 15PPECh. 12.5 - Prob. 16PPECh. 12.5 - Prob. 17PPECh. 12.5 - Prob. 18PPECh. 12.5 - Prob. 19PPECh. 12.5 - Prob. 20PPECh. 12.5 - Prob. 21PPECh. 12.5 - Prob. 22PPECh. 12.5 - Prob. 23PPECh. 12.5 - Prob. 24PPECh. 12.5 - Prob. 25PPECh. 12.5 - Prob. 26PPECh. 12.5 - Prob. 27PPECh. 12.5 - Prob. 28PPECh. 12.5 - Prob. 29PPECh. 12.5 - Prob. 30PPECh. 12.5 - Prob. 31PPECh. 12.5 - Prob. 32PPECh. 12.5 - Prob. 33PPECh. 12.5 - Prob. 34PPECh. 12.5 - Prob. 35PPECh. 12.5 - Prob. 36PPECh. 12.5 - Prob. 37PPECh. 12.5 - Prob. 38PPECh. 12.5 - Prob. 39PPECh. 12.5 - Prob. 40PPECh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42STPCh. 12.5 - Prob. 43STPCh. 12.5 - Prob. 44STPCh. 12.5 - Prob. 45MRCh. 12.5 - Prob. 46MRCh. 12.5 - Prob. 47MRCh. 12.5 - Prob. 48MRCh. 12.5 - Prob. 49MRCh. 12.5 - Prob. 50MRCh. 12.5 - Prob. 51MRCh. 12.5 - Prob. 52MRCh. 12.5 - Prob. 1MCQCh. 12.5 - Prob. 2MCQCh. 12.5 - Prob. 3MCQCh. 12.5 - Prob. 4MCQCh. 12.5 - Prob. 5MCQCh. 12.5 - Prob. 6MCQCh. 12.5 - Prob. 7MCQCh. 12.5 - Prob. 8MCQCh. 12.5 - Prob. 9MCQCh. 12.5 - Prob. 10MCQCh. 12.5 - Prob. 11MCQCh. 12.5 - Prob. 12MCQCh. 12.5 - Prob. 13MCQCh. 12.5 - Prob. 14MCQCh. 12.5 - Prob. 15MCQCh. 12.5 - Prob. 16MCQCh. 12.5 - Prob. 17MCQCh. 12.5 - Prob. 18MCQCh. 12.5 - Prob. 19MCQCh. 12.5 - Prob. 20MCQCh. 12.6 - Prob. 1PCh. 12.6 - Prob. 2PCh. 12.6 - Prob. 3PCh. 12.6 - Prob. 4PCh. 12.6 - Prob. 1LCCh. 12.6 - Prob. 2LCCh. 12.6 - Prob. 3LCCh. 12.6 - Prob. 4LCCh. 12.6 - Prob. 5LCCh. 12.6 - Prob. 6LCCh. 12.6 - Prob. 7LCCh. 12.6 - Prob. 8LCCh. 12.6 - Prob. 9LCCh. 12.6 - Prob. 10LCCh. 12.6 - Prob. 11PPECh. 12.6 - Prob. 12PPECh. 12.6 - Prob. 13PPECh. 12.6 - Prob. 14PPECh. 12.6 - Prob. 15PPECh. 12.6 - Prob. 16PPECh. 12.6 - Prob. 17PPECh. 12.6 - Prob. 18PPECh. 12.6 - Prob. 19PPECh. 12.6 - Prob. 20PPECh. 12.6 - Prob. 21PPECh. 12.6 - Prob. 22PPECh. 12.6 - Prob. 23PPECh. 12.6 - Prob. 24PPECh. 12.6 - Prob. 25PPECh. 12.6 - Prob. 26PPECh. 12.6 - Prob. 27PPECh. 12.6 - Prob. 28PPECh. 12.6 - Prob. 29PPECh. 12.6 - Prob. 30PPECh. 12.6 - Prob. 31PPECh. 12.6 - Prob. 32PPECh. 12.6 - Prob. 33PPECh. 12.6 - Prob. 34PPECh. 12.6 - Prob. 35PPECh. 12.6 - Prob. 36PPECh. 12.6 - Prob. 37PPECh. 12.6 - Prob. 38PPECh. 12.6 - Prob. 39PPECh. 12.6 - Prob. 40PPECh. 12.6 - Prob. 41PPECh. 12.6 - Prob. 42PPECh. 12.6 - Prob. 43PPECh. 12.6 - Prob. 44PPECh. 12.6 - Prob. 45PPECh. 12.6 - Prob. 46PPECh. 12.6 - Prob. 47PPECh. 12.6 - Prob. 48PPECh. 12.6 - Prob. 49PPECh. 12.6 - Prob. 50PPECh. 12.6 - Prob. 51PPECh. 12.6 - Prob. 52PPECh. 12.6 - Prob. 53PPECh. 12.6 - Prob. 54PPECh. 12.6 - Prob. 55PPECh. 12.6 - Prob. 56PPECh. 12.6 - Prob. 57PPECh. 12.6 - Prob. 58PPECh. 12.6 - Prob. 59PPECh. 12.6 - Prob. 60PPECh. 12.6 - Prob. 61PPECh. 12.6 - Prob. 62PPECh. 12.6 - Prob. 63PPECh. 12.6 - Prob. 64PPECh. 12.6 - Prob. 65PPECh. 12.6 - Prob. 66STPCh. 12.6 - Prob. 67STPCh. 12.6 - Prob. 68STPCh. 12.6 - Prob. 69STPCh. 12.6 - Prob. 70MRCh. 12.6 - Prob. 71MRCh. 12.6 - Prob. 72MRCh. 12.6 - Prob. 73MRCh. 12.6 - Prob. 74MRCh. 12.6 - Prob. 75MRCh. 12.6 - Prob. 76MRCh. 12.6 - Prob. 77MRCh. 12.6 - Prob. 78MRCh. 12.6 - Prob. 79MRCh. 12.6 - Prob. 80MRCh. 12.6 - Prob. 81MRCh. 12.7 - Prob. 1PCh. 12.7 - Prob. 2PCh. 12.7 - Prob. 3PCh. 12.7 - Prob. 4PCh. 12.7 - Prob. 5PCh. 12.7 - Prob. 1LCCh. 12.7 - Prob. 2LCCh. 12.7 - Prob. 3LCCh. 12.7 - Prob. 4LCCh. 12.7 - Prob. 5LCCh. 12.7 - Prob. 6LCCh. 12.7 - Prob. 7LCCh. 12.7 - Prob. 8LCCh. 12.7 - Prob. 9LCCh. 12.7 - Prob. 10PPECh. 12.7 - Prob. 11PPECh. 12.7 - Prob. 12PPECh. 12.7 - Prob. 13PPECh. 12.7 - Prob. 14PPECh. 12.7 - Prob. 15PPECh. 12.7 - Prob. 16PPECh. 12.7 - Prob. 17PPECh. 12.7 - Prob. 18PPECh. 12.7 - Prob. 19PPECh. 12.7 - Prob. 20PPECh. 12.7 - Prob. 21PPECh. 12.7 - Prob. 22PPECh. 12.7 - Prob. 23PPECh. 12.7 - Prob. 24PPECh. 12.7 - Prob. 25PPECh. 12.7 - Prob. 26PPECh. 12.7 - Prob. 27PPECh. 12.7 - Prob. 28PPECh. 12.7 - Prob. 29PPECh. 12.7 - Prob. 30PPECh. 12.7 - Prob. 31PPECh. 12.7 - Prob. 32PPECh. 12.7 - Prob. 33PPECh. 12.7 - Prob. 34PPECh. 12.7 - Prob. 35PPECh. 12.7 - Prob. 36PPECh. 12.7 - Prob. 37PPECh. 12.7 - Prob. 38PPECh. 12.7 - Prob. 39PPECh. 12.7 - Prob. 40PPECh. 12.7 - Prob. 41PPECh. 12.7 - Prob. 42PPECh. 12.7 - Prob. 43PPECh. 12.7 - Prob. 44PPECh. 12.7 - Prob. 45PPECh. 12.7 - Prob. 46PPECh. 12.7 - Prob. 47STPCh. 12.7 - Prob. 48STPCh. 12.7 - Prob. 49STPCh. 12.7 - Prob. 50MRCh. 12.7 - Prob. 51MRCh. 12.7 - Prob. 52MRCh. 12.7 - Prob. 53MRCh. 12.7 - Prob. 54MRCh. 12.7 - Prob. 55MRCh. 12.7 - Prob. 56MRCh. 12.7 - Prob. 57MRCh. 12.7 - Prob. 58MRCh. 12.7 - Prob. 59MRCh. 12.8 - Prob. 1PCh. 12.8 - Prob. 2PCh. 12.8 - Prob. 3PCh. 12.8 - Prob. 4PCh. 12.8 - Prob. 5PCh. 12.8 - Prob. 1LCCh. 12.8 - Prob. 2LCCh. 12.8 - Prob. 3LCCh. 12.8 - Prob. 4LCCh. 12.8 - Prob. 5LCCh. 12.8 - Prob. 6LCCh. 12.8 - Prob. 7LCCh. 12.8 - Prob. 8PPECh. 12.8 - Prob. 9PPECh. 12.8 - Prob. 10PPECh. 12.8 - Prob. 11PPECh. 12.8 - Prob. 12PPECh. 12.8 - Prob. 13PPECh. 12.8 - Prob. 14PPECh. 12.8 - Prob. 15PPECh. 12.8 - Prob. 16PPECh. 12.8 - Prob. 17PPECh. 12.8 - Prob. 18PPECh. 12.8 - Prob. 19PPECh. 12.8 - Prob. 20PPECh. 12.8 - Prob. 21PPECh. 12.8 - Prob. 22PPECh. 12.8 - Prob. 23PPECh. 12.8 - Prob. 24PPECh. 12.8 - Prob. 25PPECh. 12.8 - Prob. 26PPECh. 12.8 - Prob. 27PPECh. 12.8 - Prob. 28PPECh. 12.8 - Prob. 29PPECh. 12.8 - Prob. 30PPECh. 12.8 - Prob. 31PPECh. 12.8 - Prob. 32PPECh. 12.8 - Prob. 33PPECh. 12.8 - Prob. 34PPECh. 12.8 - Prob. 35PPECh. 12.8 - Prob. 36PPECh. 12.8 - Prob. 37PPECh. 12.8 - Prob. 38PPECh. 12.8 - Prob. 39PPECh. 12.8 - Prob. 40PPECh. 12.8 - Prob. 41PPECh. 12.8 - Prob. 42PPECh. 12.8 - Prob. 43PPECh. 12.8 - Prob. 44PPECh. 12.8 - Prob. 45PPECh. 12.8 - Prob. 1MPCh. 12.8 - Prob. 1CBCh. 12.8 - Prob. 2CBCh. 12 - Prob. 1GRCh. 12 - Prob. 2GRCh. 12 - Prob. 3GRCh. 12 - Prob. 4GRCh. 12 - Prob. 5GRCh. 12 - Prob. 6GRCh. 12 - Prob. 7GRCh. 12 - Prob. 8GRCh. 12 - Prob. 9GRCh. 12 - Prob. 10GRCh. 12 - Prob. 11GRCh. 12 - Prob. 12GRCh. 12 - Prob. 13GRCh. 12 - Prob. 14GRCh. 12 - Prob. 15GRCh. 12 - Prob. 16GRCh. 12 - Prob. 17GRCh. 12 - Prob. 18GRCh. 12 - Prob. 19GRCh. 12 - Prob. 20GRCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Prob. 26CRCh. 12 - Prob. 27CRCh. 12 - Prob. 28CRCh. 12 - Prob. 29CRCh. 12 - Prob. 30CRCh. 12 - Prob. 31CRCh. 12 - Prob. 32CRCh. 12 - Prob. 33CRCh. 12 - Prob. 34CRCh. 12 - Prob. 35CRCh. 12 - Prob. 36CRCh. 12 - Prob. 37CRCh. 12 - Prob. 38CRCh. 12 - Prob. 39CRCh. 12 - Prob. 40CRCh. 12 - Prob. 41CRCh. 12 - Prob. 42CRCh. 12 - Prob. 43CRCh. 12 - Prob. 44CRCh. 12 - Prob. 45CRCh. 12 - Prob. 46CRCh. 12 - Prob. 47CRCh. 12 - Prob. 48CRCh. 12 - Prob. 49CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 14CTCh. 12 - Prob. 15CTCh. 12 - Prob. 16CTCh. 12 - Prob. 17CTCh. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 21CTCh. 12 - Prob. 22CTCh. 12 - Prob. 1CCSRCh. 12 - Prob. 2CCSRCh. 12 - Prob. 3CCSRCh. 12 - Prob. 4CCSRCh. 12 - Prob. 5CCSRCh. 12 - Prob. 6CCSRCh. 12 - Prob. 7CCSRCh. 12 - Prob. 8CCSRCh. 12 - Prob. 9CCSRCh. 12 - Prob. 10CCSRCh. 12 - Prob. 11CCSRCh. 12 - Prob. 12CCSRCh. 12 - Prob. 13CCSRCh. 12 - Prob. 14CCSRCh. 12 - Prob. 15CCSRCh. 12 - Prob. 16CCSRCh. 12 - Prob. 17CCSRCh. 12 - Prob. 18CCSRCh. 12 - Prob. 19CCSRCh. 12 - Prob. 20CCSRCh. 12 - Prob. 21CCSRCh. 12 - Prob. 22CCSRCh. 12 - Prob. 23CCSRCh. 12 - Prob. 24CCSRCh. 12 - Prob. 25CCSRCh. 12 - Prob. 26CCSRCh. 12 - Prob. 27CCSRCh. 12 - Prob. 28CCSRCh. 12 - Prob. 29CCSRCh. 12 - Prob. 30CCSRCh. 12 - Prob. 31CCSRCh. 12 - Prob. 32CCSRCh. 12 - Prob. 33CCSRCh. 12 - Prob. 34CCSRCh. 12 - Prob. 35CCSRCh. 12 - Prob. 36CCSRCh. 12 - Prob. 37CCSRCh. 12 - Prob. 38CCSRCh. 12 - Prob. 39CCSRCh. 12 - Prob. 40CCSRCh. 12 - Prob. 41CCSRCh. 12 - Prob. 42CCSRCh. 12 - Prob. 43CCSRCh. 12 - Prob. 44CCSRCh. 12 - Prob. 45CCSRCh. 12 - Prob. 46CCSRCh. 12 - Prob. 47CCSRCh. 12 - Prob. 48CCSRCh. 12 - Prob. 49CCSRCh. 12 - Prob. 50CCSR

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