Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Chapter SH, Problem 4.1MPS
To determine

To calculate:To justify the amount spend by using the Distributive Property, when the cost of admission and transportation per person is $20 and cost of lunch per person is $8 . There are 10 friends.

Expert Solution & Answer
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Answer to Problem 4.1MPS

Total amount to be spent is $280 .

Explanation of Solution

Given information:

Cost of admission and transportation per person =$20

Cost of lunch per person =$8 .

There are 10 friends.

Formula Used:

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Calculation:

Given :

Cost of admission and transportation per person =$20

Cost of lunch per person =$8

Number of friends = 10

As per the distributive property explained above, we have:

One side of the equation = ( Cost of admission and transportation per person +

Cost of lunch per person) × Number of friends

One side of the equation =($20+$8)×10

Solving further, we have:

One side of the equation =($28)×10

One side of the equation =$280

Now, other side of the equation = (Cost of admission and transportation per person × Number of friends) + ( Cost of lunch per person × Number of friends)

Other side of the equation =($20×10)+($8×10)

Solving further, we have:

Other side of the equation =($200)+($80)

Other side of the equation =$280

Since, both the sides of the equation gives the same answer.

Thus, the answer is justified using the distributive property.

Conclusion:

Total amount to be spent is $280 .

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Chapter SH, Problem 3.12MPS
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Chapter SH, Problem 4.2MPS

Chapter SH Solutions

Pre-Algebra, Student Edition

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SH - Prob. 7.3.4EPCh. SH - Prob. 7.3.5EPCh. SH - Prob. 7.3.6EPCh. SH - Prob. 7.3.7EPCh. SH - Prob. 7.3.8EPCh. SH - Prob. 7.3.9EPCh. SH - Prob. 7.3.10EPCh. SH - Prob. 7.3.11EPCh. SH - Prob. 7.3.12EPCh. SH - Prob. 7.3.13EPCh. SH - Prob. 7.3.14EPCh. SH - Prob. 7.4.1EPCh. SH - Prob. 7.4.2EPCh. SH - Prob. 7.4.3EPCh. SH - Prob. 7.4.4EPCh. SH - Prob. 7.4.5EPCh. SH - Prob. 7.4.6EPCh. SH - Prob. 7.4.7EPCh. SH - Prob. 7.4.8EPCh. SH - Prob. 7.4.9EPCh. SH - Prob. 7.4.10EPCh. SH - Prob. 7.4.11EPCh. SH - Prob. 7.4.12EPCh. SH - Prob. 7.4.13EPCh. SH - Prob. 7.4.14EPCh. SH - Prob. 7.5.1EPCh. SH - Prob. 7.5.2EPCh. SH - Prob. 7.5.3EPCh. SH - Prob. 7.5.4EPCh. SH - Prob. 7.5.5EPCh. SH - Prob. 7.5.6EPCh. SH - Prob. 7.5.7EPCh. SH - Prob. 7.5.8EPCh. SH - Prob. 7.5.9EPCh. SH - Prob. 7.5.10EPCh. SH - Prob. 7.5.11EPCh. SH - Prob. 7.5.12EPCh. SH - Prob. 7.5.13EPCh. SH - Prob. 7.5.14EPCh. SH - Prob. 7.5.15EPCh. SH - Prob. 7.5.16EPCh. SH - Prob. 7.6.1EPCh. SH - Prob. 7.6.2EPCh. SH - Prob. 7.6.3EPCh. SH - Prob. 7.6.4EPCh. SH - Prob. 7.6.5EPCh. SH - Prob. 7.6.6EPCh. SH - Prob. 7.6.7EPCh. SH - Prob. 7.6.8EPCh. SH - Prob. 7.6.9EPCh. SH - Prob. 7.6.10EPCh. SH - Prob. 7.6.11EPCh. SH - Prob. 7.7.1EPCh. SH - Prob. 7.7.2EPCh. SH - Prob. 7.7.3EPCh. SH - Prob. 7.7.4EPCh. SH - Prob. 7.7.5EPCh. SH - Prob. 7.7.6EPCh. SH - Prob. 7.7.7EPCh. SH - Prob. 7.7.8EPCh. SH - Prob. 7.7.9EPCh. SH - Prob. 7.7.10EPCh. SH - Prob. 7.7.11EPCh. SH - Prob. 7.7.12EPCh. SH - Prob. 7.7.13EPCh. SH - Prob. 7.7.14EPCh. SH - Prob. 7.7.15EPCh. SH - Prob. 7.8.1EPCh. SH - Prob. 7.8.2EPCh. SH - Prob. 7.8.3EPCh. SH - Prob. 8.1.1EPCh. SH - Prob. 8.1.2EPCh. SH - Prob. 8.1.3EPCh. SH - Prob. 8.1.4EPCh. SH - Prob. 8.1.5EPCh. SH - Prob. 8.1.6EPCh. SH - Prob. 8.1.7EPCh. SH - Prob. 8.1.8EPCh. SH - Prob. 8.1.9EPCh. SH - Prob. 8.1.10EPCh. SH - Prob. 8.1.11EPCh. SH - Prob. 8.1.12EPCh. SH - Prob. 8.2.1EPCh. SH - Prob. 8.2.2EPCh. SH - Prob. 8.2.3EPCh. SH - Prob. 8.2.4EPCh. SH - Prob. 8.2.5EPCh. SH - Prob. 8.2.6EPCh. SH - Prob. 8.2.7EPCh. SH - Prob. 8.2.8EPCh. SH - Prob. 8.2.9EPCh. SH - Prob. 8.2.10EPCh. SH - Prob. 8.2.11EPCh. SH - Prob. 8.2.12EPCh. SH - Prob. 8.2.13EPCh. SH - Prob. 8.2.14EPCh. SH - Prob. 8.3.1EPCh. SH - Prob. 8.3.2EPCh. SH - Prob. 8.3.3EPCh. SH - Prob. 8.3.4EPCh. SH - Prob. 8.3.5EPCh. SH - Prob. 8.3.6EPCh. SH - Prob. 8.3.7EPCh. SH - Prob. 8.3.8EPCh. SH - Prob. 8.3.9EPCh. SH - Prob. 8.3.10EPCh. SH - Prob. 8.3.11EPCh. SH - Prob. 8.3.12EPCh. SH - Prob. 8.3.13EPCh. SH - Prob. 8.3.14EPCh. SH - Prob. 8.3.15EPCh. SH - Prob. 8.3.16EPCh. SH - Prob. 8.3.17EPCh. SH - Prob. 8.3.18EPCh. SH - Prob. 8.4.1EPCh. SH - Prob. 8.4.2EPCh. SH - Prob. 8.4.3EPCh. SH - Prob. 8.4.4EPCh. SH - Prob. 8.5.1EPCh. SH - Prob. 8.5.2EPCh. SH - Prob. 8.5.3EPCh. SH - Prob. 8.6.1EPCh. SH - Prob. 8.6.2EPCh. SH - Prob. 8.6.3EPCh. SH - Prob. 8.6.4EPCh. SH - Prob. 8.6.5EPCh. SH - Prob. 8.6.6EPCh. SH - Prob. 8.7.1EPCh. SH - Prob. 8.7.2EPCh. SH - Prob. 8.7.3EPCh. SH - Prob. 8.7.4EPCh. SH - Prob. 8.7.5EPCh. SH - Prob. 8.7.6EPCh. SH - Prob. 8.7.7EPCh. SH - Prob. 8.7.8EPCh. SH - Prob. 8.7.9EPCh. SH - Prob. 8.7.10EPCh. SH - Prob. 8.7.11EPCh. SH - Prob. 8.7.12EPCh. SH - Prob. 8.8.1EPCh. SH - Prob. 8.8.2EPCh. SH - Prob. 8.8.3EPCh. SH - Prob. 8.8.4EPCh. SH - Prob. 8.8.5EPCh. SH - Prob. 8.8.6EPCh. SH - Prob. 8.8.7EPCh. SH - Prob. 8.8.8EPCh. SH - Prob. 8.8.9EPCh. SH - Prob. 8.8.10EPCh. SH - Prob. 8.9.1EPCh. SH - Prob. 8.9.2EPCh. SH - Prob. 8.9.3EPCh. SH - Prob. 8.10.1EPCh. SH - Prob. 8.10.2EPCh. SH - Prob. 8.10.3EPCh. SH - Prob. 8.10.4EPCh. SH - Prob. 8.10.5EPCh. SH - Prob. 8.10.6EPCh. SH - Prob. 8.10.7EPCh. SH - Prob. 8.10.8EPCh. SH - Prob. 9.1.1EPCh. SH - Prob. 9.1.2EPCh. SH - Prob. 9.1.3EPCh. SH - Prob. 9.1.4EPCh. SH - Prob. 9.1.5EPCh. SH - Prob. 9.1.6EPCh. SH - Prob. 9.1.7EPCh. SH - Prob. 9.1.8EPCh. SH - Prob. 9.1.9EPCh. SH - Prob. 9.1.10EPCh. SH - Prob. 9.1.11EPCh. SH - Prob. 9.1.12EPCh. SH - Prob. 9.1.13EPCh. SH - Prob. 9.1.14EPCh. SH - Prob. 9.1.15EPCh. SH - Prob. 9.1.16EPCh. SH - Prob. 9.1.17EPCh. SH - Prob. 9.1.18EPCh. SH - Prob. 9.1.19EPCh. SH - Prob. 9.1.20EPCh. SH - Prob. 9.1.21EPCh. SH - Prob. 9.1.22EPCh. SH - Prob. 9.1.23EPCh. SH - Prob. 9.1.24EPCh. SH - Prob. 9.2.1EPCh. SH - Prob. 9.2.2EPCh. SH - Prob. 9.2.3EPCh. SH - Prob. 9.2.4EPCh. SH - Prob. 9.2.5EPCh. SH - Prob. 9.2.6EPCh. SH - Prob. 9.2.7EPCh. SH - Prob. 9.2.8EPCh. SH - Prob. 9.2.9EPCh. SH - Prob. 9.2.10EPCh. SH - Prob. 9.2.11EPCh. SH - Prob. 9.2.12EPCh. SH - Prob. 9.2.13EPCh. SH - Prob. 9.2.14EPCh. SH - Prob. 9.2.15EPCh. SH - Prob. 9.2.16EPCh. SH - Prob. 9.2.17EPCh. SH - Prob. 9.2.18EPCh. SH - Prob. 9.2.19EPCh. SH - Prob. 9.2.20EPCh. SH - Prob. 9.2.21EPCh. SH - Prob. 9.2.22EPCh. SH - Prob. 9.2.23EPCh. SH - Prob. 9.2.24EPCh. SH - Prob. 9.2.25EPCh. SH - Prob. 9.2.26EPCh. SH - Prob. 9.2.27EPCh. SH - Prob. 9.2.28EPCh. SH - Prob. 9.2.29EPCh. SH - Prob. 9.3.1EPCh. SH - Prob. 9.3.2EPCh. SH - Prob. 9.3.3EPCh. SH - Prob. 9.3.4EPCh. SH - Prob. 9.3.5EPCh. SH - Prob. 9.3.6EPCh. SH - Prob. 9.3.7EPCh. SH - Prob. 9.3.8EPCh. SH - Prob. 9.3.9EPCh. SH - Prob. 9.3.10EPCh. SH - Prob. 9.3.11EPCh. SH - Prob. 9.3.12EPCh. SH - Prob. 9.3.13EPCh. SH - Prob. 9.3.14EPCh. SH - Prob. 9.3.15EPCh. SH - Prob. 9.4.1EPCh. SH - Prob. 9.4.2EPCh. SH - Prob. 9.4.3EPCh. SH - Prob. 9.4.4EPCh. SH - Prob. 9.4.5EPCh. SH - Prob. 9.4.6EPCh. SH - Prob. 9.4.7EPCh. SH - Prob. 9.4.8EPCh. SH - Prob. 9.4.9EPCh. SH - Prob. 9.4.10EPCh. SH - Prob. 9.4.11EPCh. SH - Prob. 9.4.12EPCh. SH - Prob. 9.4.13EPCh. SH - Prob. 9.4.14EPCh. SH - Prob. 9.4.15EPCh. SH - Prob. 9.4.16EPCh. SH - Prob. 9.4.17EPCh. SH - Prob. 9.4.18EPCh. SH - Prob. 9.4.19EPCh. SH - Prob. 9.4.20EPCh. SH - Prob. 9.4.21EPCh. SH - Prob. 9.4.22EPCh. SH - Prob. 9.4.23EPCh. SH - Prob. 9.4.24EPCh. SH - Prob. 9.4.25EPCh. SH - Prob. 9.4.26EPCh. SH - Prob. 9.5.1EPCh. SH - Prob. 9.5.2EPCh. SH - Prob. 9.5.3EPCh. SH - Prob. 9.5.4EPCh. SH - Prob. 9.5.5EPCh. SH - Prob. 9.5.6EPCh. SH - Prob. 9.5.7EPCh. SH - Prob. 9.5.8EPCh. SH - Prob. 9.5.9EPCh. SH - Prob. 9.5.10EPCh. SH - Prob. 9.5.11EPCh. SH - Prob. 9.5.12EPCh. SH - Prob. 9.5.13EPCh. SH - Prob. 9.5.14EPCh. SH - Prob. 9.5.15EPCh. SH - Prob. 9.5.16EPCh. SH - Prob. 9.5.17EPCh. SH - Prob. 9.5.18EPCh. SH - Prob. 9.5.19EPCh. SH - Prob. 9.5.20EPCh. SH - Prob. 9.6.1EPCh. SH - Prob. 9.6.2EPCh. SH - Prob. 9.6.3EPCh. SH - Prob. 9.6.4EPCh. SH - Prob. 9.6.5EPCh. SH - Prob. 9.6.6EPCh. SH - Prob. 9.6.7EPCh. SH - Prob. 9.6.8EPCh. SH - Prob. 9.6.9EPCh. SH - Prob. 9.6.10EPCh. SH - Prob. 9.6.11EPCh. SH - Prob. 9.6.12EPCh. SH - Prob. 9.6.13EPCh. SH - Prob. 9.6.14EPCh. SH - Prob. 9.6.15EPCh. SH - Prob. 9.6.16EPCh. SH - Prob. 9.6.17EPCh. SH - Prob. 9.7.1EPCh. SH - Prob. 9.7.2EPCh. SH - Prob. 9.7.3EPCh. SH - Prob. 9.7.4EPCh. SH - Prob. 9.7.5EPCh. SH - Prob. 9.7.6EPCh. SH - Prob. 9.7.7EPCh. SH - Prob. 9.7.8EPCh. SH - Prob. 9.7.9EPCh. SH - Prob. 9.7.10EPCh. SH - Prob. 9.7.11EPCh. SH - Prob. 9.8.1EPCh. SH - Prob. 9.8.2EPCh. SH - Prob. 9.8.3EPCh. SH - Prob. 9.8.4EPCh. SH - Prob. 9.8.5EPCh. SH - Prob. 9.8.6EPCh. SH - Prob. 9.8.7EPCh. SH - Prob. 9.8.8EPCh. SH - Prob. 9.8.9EPCh. SH - Prob. 9.8.10EPCh. SH - Prob. 9.8.11EPCh. SH - Prob. 9.8.12EPCh. SH - Prob. 9.8.13EPCh. SH - Prob. 9.8.14EPCh. SH - Prob. 9.8.15EPCh. SH - Prob. 9.9.1EPCh. SH - Prob. 9.9.2EPCh. SH - Prob. 9.9.3EPCh. SH - Prob. 9.9.4EPCh. SH - Prob. 9.9.5EPCh. SH - Prob. 9.9.6EPCh. SH - Prob. 9.9.7EPCh. SH - Prob. 9.9.8EPCh. SH - Prob. 9.9.9EPCh. SH - Prob. 9.9.10EPCh. SH - Prob. 9.9.11EPCh. SH - Prob. 9.9.12EPCh. SH - Prob. 9.9.13EPCh. SH - Prob. 9.9.14EPCh. SH - Prob. 9.9.15EPCh. SH - Prob. 10.1.1EPCh. SH - Prob. 10.1.2EPCh. SH - Prob. 10.1.3EPCh. SH - Prob. 10.1.4EPCh. SH - Prob. 10.1.5EPCh. SH - Prob. 10.1.6EPCh. SH - Prob. 10.1.7EPCh. SH - Prob. 10.1.8EPCh. SH - Prob. 10.1.9EPCh. SH - Prob. 10.1.10EPCh. SH - Prob. 10.1.11EPCh. SH - Prob. 10.1.12EPCh. SH - Prob. 10.1.13EPCh. SH - Prob. 10.1.14EPCh. SH - Prob. 10.1.15EPCh. SH - Prob. 10.1.16EPCh. SH - Prob. 10.1.17EPCh. SH - Prob. 10.1.18EPCh. SH - Prob. 10.1.19EPCh. SH - Prob. 10.1.20EPCh. SH - Prob. 10.1.21EPCh. SH - Prob. 10.1.22EPCh. SH - Prob. 10.1.23EPCh. SH - Prob. 10.1.24EPCh. SH - Prob. 10.1.25EPCh. SH - Prob. 10.1.26EPCh. SH - Prob. 10.1.27EPCh. SH - Prob. 10.2.1EPCh. SH - Prob. 10.2.2EPCh. SH - Prob. 10.2.3EPCh. SH - Prob. 10.2.4EPCh. SH - Prob. 10.2.5EPCh. SH - Prob. 10.2.6EPCh. SH - Prob. 10.2.7EPCh. SH - Prob. 10.2.8EPCh. SH - Prob. 10.2.9EPCh. SH - Prob. 10.2.10EPCh. SH - Prob. 10.2.11EPCh. SH - Prob. 10.2.12EPCh. SH - Prob. 10.2.13EPCh. SH - Prob. 10.2.14EPCh. SH - Prob. 10.2.15EPCh. SH - Prob. 10.2.16EPCh. SH - Prob. 10.2.17EPCh. SH - Prob. 10.2.18EPCh. SH - Prob. 10.2.19EPCh. SH - Prob. 10.2.20EPCh. SH - Prob. 10.2.21EPCh. SH - Prob. 10.2.22EPCh. SH - Prob. 10.3.1EPCh. SH - Prob. 10.3.2EPCh. SH - Prob. 10.3.3EPCh. SH - Prob. 10.3.4EPCh. SH - Prob. 10.3.5EPCh. SH - Prob. 10.3.6EPCh. SH - Prob. 10.3.7EPCh. SH - Prob. 10.3.8EPCh. SH - Prob. 10.3.9EPCh. SH - Prob. 10.4.1EPCh. SH - Prob. 10.4.2EPCh. SH - Prob. 10.4.3EPCh. SH - Prob. 10.4.4EPCh. SH - Prob. 10.4.5EPCh. SH - Prob. 10.4.6EPCh. SH - Prob. 10.4.7EPCh. SH - Prob. 10.4.8EPCh. SH - Prob. 10.4.9EPCh. SH - Prob. 10.5.1EPCh. SH - Prob. 10.5.2EPCh. SH - Prob. 10.5.3EPCh. SH - Prob. 10.5.4EPCh. SH - Prob. 10.5.5EPCh. SH - Prob. 10.5.6EPCh. SH - Prob. 10.5.7EPCh. SH - Prob. 10.5.8EPCh. SH - Prob. 10.5.9EPCh. SH - Prob. 10.5.10EPCh. SH - Prob. 10.6.1EPCh. SH - Prob. 10.6.2EPCh. SH - Prob. 10.6.3EPCh. SH - Prob. 10.6.5EPCh. SH - Prob. 10.6.6EPCh. SH - Prob. 11.1.1EPCh. SH - Prob. 11.1.2EPCh. SH - Prob. 11.1.3EPCh. SH - Prob. 11.1.4EPCh. SH - Prob. 11.1.5EPCh. SH - Prob. 11.1.6EPCh. SH - Prob. 11.1.7EPCh. SH - Prob. 11.1.8EPCh. SH - Prob. 11.1.9EPCh. SH - Prob. 11.2.1EPCh. SH - Prob. 11.2.2EPCh. SH - Prob. 11.2.3EPCh. SH - Prob. 11.2.4EPCh. SH - Prob. 11.3.1EPCh. SH - Prob. 11.3.2EPCh. SH - Prob. 11.3.3EPCh. SH - Prob. 11.3.4EPCh. SH - Prob. 11.4.1EPCh. SH - Prob. 11.4.2EPCh. SH - Prob. 11.4.3EPCh. SH - Prob. 11.4.4EPCh. SH - Prob. 11.5.1EPCh. SH - Prob. 11.5.2EPCh. SH - Prob. 11.5.3EPCh. SH - Prob. 11.5.4EPCh. SH - Prob. 11.5.5EPCh. SH - Prob. 11.5.6EPCh. SH - Prob. 11.5.7EPCh. SH - Prob. 11.5.8EPCh. SH - Prob. 11.6.1EPCh. SH - Prob. 11.6.2EPCh. SH - Prob. 11.6.3EPCh. SH - Prob. 11.6.4EPCh. SH - Prob. 11.6.5EPCh. SH - Prob. 11.6.6EPCh. SH - Prob. 11.7.1EPCh. SH - Prob. 11.7.2EPCh. SH - Prob. 11.7.3EPCh. SH - Prob. 11.7.4EPCh. SH - Prob. 11.7.5EPCh. SH - Prob. 11.8.1EPCh. SH - Prob. 11.8.2EPCh. SH - Prob. 11.8.3EPCh. SH - Prob. 11.8.4EPCh. SH - Prob. 11.8.5EPCh. SH - Prob. 11.9.1EPCh. SH - Prob. 11.9.2EPCh. SH - Prob. 11.9.3EPCh. SH - Prob. 11.9.4EPCh. SH - Prob. 12.1.1EPCh. SH - Prob. 12.1.2EPCh. SH - Prob. 12.1.3EPCh. SH - Prob. 12.1.4EPCh. SH - Prob. 12.1.5EPCh. SH - Prob. 12.2.1EPCh. SH - Prob. 12.2.2EPCh. SH - Prob. 12.2.3EPCh. SH - Prob. 12.2.4EPCh. SH - Prob. 12.2.5EPCh. SH - Prob. 12.3.1EPCh. SH - Prob. 12.3.2EPCh. SH - Prob. 12.3.3EPCh. SH - Prob. 12.3.4EPCh. SH - Prob. 12.3.5EPCh. SH - Prob. 12.3.6EPCh. SH - Prob. 12.3.7EPCh. SH - Prob. 12.4.1EPCh. SH - Prob. 12.4.2EPCh. SH - Prob. 12.4.3EPCh. SH - Prob. 12.4.4EPCh. SH - Prob. 12.4.5EPCh. SH - Prob. 12.4.6EPCh. SH - Prob. 12.4.7EPCh. SH - Prob. 12.4.8EPCh. SH - Prob. 12.5.1EPCh. SH - Prob. 12.5.2EPCh. SH - Prob. 12.5.3EPCh. SH - Prob. 12.5.4EPCh. SH - Prob. 12.5.5EPCh. SH - Prob. 12.5.6EPCh. SH - Prob. 12.6.1EPCh. SH - Prob. 12.6.2EPCh. SH - Prob. 12.6.3EPCh. SH - Prob. 12.6.4EPCh. SH - Prob. 12.6.5EPCh. SH - Prob. 12.6.6EPCh. SH - Prob. 12.6.7EPCh. SH - Prob. 12.6.8EPCh. SH - Prob. 12.7.1EPCh. SH - Prob. 12.7.2EPCh. SH - Prob. 12.7.3EPCh. SH - Prob. 12.7.4EPCh. SH - Prob. 12.7.5EPCh. SH - Prob. 12.7.6EPCh. SH - Prob. 12.7.7EPCh. SH - Prob. 12.8.1EPCh. SH - Prob. 12.8.2EPCh. SH - Prob. 12.8.3EPCh. SH - Prob. 12.8.4EPCh. SH - Prob. 13.1.1EPCh. SH - Prob. 13.1.2EPCh. SH - Prob. 13.1.3EPCh. SH - Prob. 13.1.4EPCh. SH - Prob. 13.1.5EPCh. SH - Prob. 13.2.1EPCh. SH - Prob. 13.2.2EPCh. SH - Prob. 13.2.3EPCh. SH - Prob. 13.2.4EPCh. SH - Prob. 13.2.5EPCh. SH - Prob. 13.3.1EPCh. SH - Prob. 13.3.2EPCh. SH - Prob. 13.3.3EPCh. SH - Prob. 13.3.4EPCh. SH - Prob. 13.4.1EPCh. SH - Prob. 13.4.2EPCh. SH - Prob. 13.4.3EPCh. SH - Prob. 13.5.1EPCh. SH - Prob. 13.5.2EPCh. SH - Prob. 13.6.1EPCh. SH - Prob. 13.6.2EPCh. SH - Prob. 13.6.3EPCh. SH - Prob. 13.6.4EPCh. SH - Prob. 13.6.5EPCh. SH - Prob. 13.6.6EPCh. SH - Prob. 13.6.7EPCh. SH - Prob. 13.6.8EPCh. SH - Prob. 13.6.9EPCh. SH - Prob. 13.6.10EPCh. SH - Prob. 13.6.11EPCh. SH - Prob. 13.6.12EPCh. SH - Prob. 13.7.1EPCh. SH - Prob. 13.7.2EPCh. SH - Prob. 13.7.3EPCh. SH - Prob. 13.7.4EPCh. SH - Prob. 13.8.1EPCh. SH - Prob. 13.8.2EPCh. SH - Prob. 13.8.3EPCh. SH - Prob. 13.8.4EPCh. SH - Prob. 13.8.5EPCh. SH - Prob. 13.8.6EPCh. SH - Prob. 13.9.1EPCh. SH - Prob. 13.9.2EPCh. SH - Prob. 13.9.3EPCh. SH - Prob. 13.9.4EPCh. SH - Prob. 13.9.5EPCh. SH - Prob. 13.10.1EPCh. SH - Prob. 13.10.2EPCh. SH - Prob. 13.10.3EPCh. SH - Prob. 13.10.4EPCh. SH - Prob. 13.10.5EPCh. SH - Prob. 13.10.6EPCh. SH - Prob. 14.1.1EPCh. SH - Prob. 14.1.2EPCh. SH - Prob. 14.1.3EPCh. SH - Prob. 14.1.4EPCh. SH - Prob. 14.1.5EPCh. SH - Prob. 14.1.6EPCh. SH - Prob. 14.1.7EPCh. SH - Prob. 14.1.8EPCh. SH - Prob. 14.1.9EPCh. SH - Prob. 14.1.10EPCh. SH - Prob. 14.2.1EPCh. SH - Prob. 14.2.2EPCh. SH - Prob. 14.2.3EPCh. SH - Prob. 14.2.4EPCh. SH - Prob. 14.2.5EPCh. SH - Prob. 14.2.6EPCh. SH - Prob. 14.2.7EPCh. SH - Prob. 14.2.8EPCh. SH - Prob. 14.2.9EPCh. SH - Prob. 14.2.10EPCh. SH - Prob. 14.3.1EPCh. SH - Prob. 14.3.2EPCh. SH - Prob. 14.3.3EPCh. SH - Prob. 14.3.4EPCh. SH - Prob. 14.3.5EPCh. SH - Prob. 14.3.6EPCh. SH - Prob. 14.3.7EPCh. SH - Prob. 14.3.8EPCh. SH - Prob. 14.4.1EPCh. SH - Prob. 14.4.2EPCh. SH - Prob. 14.4.3EPCh. SH - Prob. 14.4.4EPCh. SH - Prob. 14.4.5EPCh. SH - Prob. 14.4.6EPCh. SH - Prob. 14.4.7EPCh. SH - Prob. 14.4.8EPCh. SH - Prob. 14.4.9EPCh. SH - Prob. 14.4.10EPCh. SH - Prob. 14.4.11EPCh. SH - Prob. 14.4.12EPCh. SH - Prob. 14.4.13EPCh. SH - Prob. 14.4.14EPCh. SH - Prob. 14.5.1EPCh. SH - Prob. 14.5.2EPCh. SH - Prob. 14.5.3EPCh. SH - Prob. 14.5.4EPCh. SH - Prob. 14.5.5EPCh. SH - Prob. 14.5.6EPCh. SH - Prob. 14.5.7EPCh. SH - Prob. 14.5.8EPCh. SH - Prob. 14.5.9EPCh. SH - Prob. 14.5.10EPCh. SH - Prob. 14.6.1EPCh. SH - Prob. 14.6.2EPCh. SH - Prob. 14.6.3EPCh. SH - Prob. 14.6.4EPCh. SH - Prob. 14.6.5EPCh. SH - Prob. 14.6.6EPCh. SH - Prob. 14.6.7EPCh. SH - Prob. 14.6.8EPCh. SH - Prob. 14.6.9EPCh. SH - Prob. 14.6.10EPCh. SH - Prob. 14.6.11EPCh. SH - Prob. 14.6.12EPCh. SH - Prob. 14.7.1EPCh. SH - Prob. 14.7.2EPCh. SH - Prob. 14.7.3EPCh. SH - Prob. 14.7.4EPCh. SH - Prob. 14.7.5EPCh. SH - Prob. 14.7.6EPCh. SH - Prob. 14.7.7EPCh. SH - Prob. 14.7.8EPCh. SH - Prob. 14.7.9EPCh. SH - Prob. 14.7.10EPCh. SH - Prob. 14.7.11EPCh. SH - Prob. 14.8.1EPCh. SH - Prob. 14.8.2EPCh. SH - Prob. 14.8.3EPCh. SH - Prob. 14.8.4EPCh. SH - Prob. 14.8.5EPCh. SH - Prob. 14.8.6EPCh. SH - Prob. 14.8.7EPCh. SH - Prob. 14.8.8EPCh. SH - Prob. 14.8.9EPCh. SH - Prob. 14.8.10EPCh. SH - Prob. 14.8.11EPCh. SH - Prob. 1.1MPSCh. SH - Prob. 1.2MPSCh. SH - Prob. 1.3MPSCh. SH - Prob. 1.4MPSCh. SH - Prob. 1.5MPSCh. SH - Prob. 1.6MPSCh. SH - Prob. 1.7MPSCh. SH - Prob. 2.1MPSCh. SH - Prob. 2.2MPSCh. SH - Prob. 2.3MPSCh. SH - Prob. 2.4MPSCh. SH - Prob. 2.5MPSCh. SH - Prob. 2.6MPSCh. SH - Prob. 2.7MPSCh. SH - Prob. 2.8MPSCh. SH - Prob. 2.9MPSCh. SH - Prob. 2.10MPSCh. SH - Prob. 2.11MPSCh. SH - Prob. 3.1MPSCh. SH - Prob. 3.2MPSCh. SH - Prob. 3.3MPSCh. SH - Prob. 3.4MPSCh. SH - Prob. 3.5MPSCh. SH - Prob. 3.6MPSCh. SH - Prob. 3.7MPSCh. SH - Prob. 3.8MPSCh. SH - Prob. 3.9MPSCh. SH - Prob. 3.10MPSCh. SH - Prob. 3.11MPSCh. SH - Prob. 3.12MPSCh. SH - Prob. 4.1MPSCh. SH - Prob. 4.2MPSCh. SH - Prob. 4.3MPSCh. SH - Prob. 4.4MPSCh. SH - Prob. 4.5MPSCh. SH - Prob. 4.6MPSCh. SH - Prob. 4.7MPSCh. SH - Prob. 4.8MPSCh. SH - Prob. 4.9MPSCh. SH - Prob. 4.10MPSCh. SH - Prob. 4.11MPSCh. SH - Prob. 5.1MPSCh. SH - Prob. 5.2MPSCh. SH - Prob. 5.3MPSCh. SH - Prob. 5.4MPSCh. SH - Prob. 5.5MPSCh. SH - Prob. 5.6MPSCh. SH - Prob. 5.7MPSCh. SH - Prob. 5.8MPSCh. SH - Prob. 5.9MPSCh. SH - Prob. 6.1MPSCh. SH - Prob. 6.2MPSCh. SH - Prob. 6.3MPSCh. SH - Prob. 6.4MPSCh. SH - Prob. 6.5MPSCh. SH - Prob. 6.6MPSCh. SH - Prob. 6.7MPSCh. SH - Prob. 6.8MPSCh. SH - Prob. 6.9MPSCh. SH - Prob. 6.10MPSCh. SH - Prob. 7.1MPSCh. SH - Prob. 7.2MPSCh. SH - Prob. 7.3MPSCh. SH - Prob. 7.4MPSCh. SH - Prob. 7.5MPSCh. SH - Prob. 7.6MPSCh. SH - Prob. 7.7MPSCh. SH - Prob. 7.8MPSCh. SH - Prob. 7.9MPSCh. SH - Prob. 7.10MPSCh. SH - Prob. 8.1MPSCh. SH - Prob. 8.2MPSCh. SH - Prob. 8.3MPSCh. SH - Prob. 8.4MPSCh. SH - Prob. 8.5MPSCh. SH - Prob. 8.6MPSCh. SH - Prob. 8.7MPSCh. SH - Prob. 8.8MPSCh. SH - Prob. 8.9MPSCh. SH - Prob. 8.10MPSCh. SH - Prob. 9.1MPSCh. SH - Prob. 9.2MPSCh. SH - Prob. 9.3MPSCh. SH - Prob. 9.4MPSCh. SH - Prob. 9.5MPSCh. SH - Prob. 9.6MPSCh. SH - Prob. 9.7MPSCh. SH - Prob. 9.8MPSCh. SH - Prob. 9.9MPSCh. SH - Prob. 9.10MPSCh. SH - Prob. 10.1MPSCh. SH - Prob. 10.2MPSCh. SH - Prob. 10.3MPSCh. SH - Prob. 10.4MPSCh. SH - Prob. 10.5MPSCh. SH - Prob. 10.6MPSCh. SH - Prob. 10.7MPSCh. SH - Prob. 10.8MPSCh. SH - Prob. 10.9MPSCh. SH - Prob. 10.10MPSCh. SH - Prob. 11.1MPSCh. SH - Prob. 11.2MPSCh. SH - Prob. 11.3MPSCh. SH - Prob. 11.4MPSCh. SH - Prob. 11.5MPSCh. SH - Prob. 11.6MPSCh. SH - Prob. 11.7MPSCh. SH - Prob. 11.8MPSCh. SH - Prob. 12.1MPSCh. SH - Prob. 12.2MPSCh. SH - Prob. 12.3MPSCh. SH - Prob. 12.4MPSCh. SH - Prob. 12.5MPSCh. SH - Prob. 12.6MPSCh. SH - Prob. 12.7MPSCh. SH - Prob. 13.1MPSCh. SH - Prob. 13.2MPSCh. SH - Prob. 13.3MPSCh. SH - Prob. 13.4MPSCh. SH - Prob. 13.5MPSCh. SH - Prob. 13.6MPSCh. SH - Prob. 13.7MPSCh. SH - Prob. 13.8MPS

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