High School Math 2011 Algebra 1 Student Companion Grade 8/9
High School Math 2011 Algebra 1 Student Companion Grade 8/9
11th Edition
ISBN: 9780133688924
Author: Prentice Hall
Publisher: PEARSON
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 1.9, Problem 12PPE
To determine

The solution of the equation 34=w+25 , and check the solution.

Expert Solution & Answer
Check Mark

Answer to Problem 12PPE

  w=720

Explanation of Solution

Given:

The equation, 34=w+25 .

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 solve the given equation 34=w+25 for the unknown variable, isolate the variable term w on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate w on right side, first subtract 25 from both sides and then simplify further by taking Least Common Denominator to solve fractions as shown below,

  34=w+2534−25=w+25−251520−820=w15−820=w720=w

Thus, the solution of the given equation is w=720 .

Now, to check the solution, substitute w=720 in the given equation and check whether the values on both sides of equal sign is same or no. So, it gives

  34=w+2534=720+2534=720+82034=7+82034=152034=34 True Statement

Since, the left hand side and right hand side are equal, so the solution is correct.

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Chapter 1.9, Problem 11PPE
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Chapter 1.9, Problem 13PPE

Chapter 1 Solutions

High School Math 2011 Algebra 1 Student Companion Grade 8/9

Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 1LCCh. 1.1 - Prob. 2LCCh. 1.1 - Prob. 3LCCh. 1.1 - Prob. 4LCCh. 1.1 - Prob. 5LC
Ch. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8LCCh. 1.1 - Prob. 9PPECh. 1.1 - Prob. 10PPECh. 1.1 - Prob. 11PPECh. 1.1 - Prob. 12PPECh. 1.1 - Prob. 13PPECh. 1.1 - Prob. 14PPECh. 1.1 - Prob. 15PPECh. 1.1 - Prob. 16PPECh. 1.1 - Prob. 17PPECh. 1.1 - Prob. 18PPECh. 1.1 - Prob. 19PPECh. 1.1 - Prob. 20PPECh. 1.1 - Prob. 21PPECh. 1.1 - Prob. 22PPECh. 1.1 - Prob. 23PPECh. 1.1 - Prob. 24PPECh. 1.1 - Prob. 25PPECh. 1.1 - Prob. 26PPECh. 1.1 - Prob. 27PPECh. 1.1 - Prob. 28PPECh. 1.1 - Prob. 29PPECh. 1.1 - Prob. 30PPECh. 1.1 - Prob. 31PPECh. 1.1 - Prob. 32PPECh. 1.1 - Prob. 33PPECh. 1.1 - Prob. 34PPECh. 1.1 - Prob. 35PPECh. 1.1 - Prob. 36PPECh. 1.1 - Prob. 37PPECh. 1.1 - Prob. 38PPECh. 1.1 - Prob. 39PPECh. 1.1 - Prob. 40PPECh. 1.1 - Prob. 41PPECh. 1.1 - Prob. 1MPCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9PPECh. 1.2 - Prob. 10PPECh. 1.2 - Prob. 11PPECh. 1.2 - Prob. 12PPECh. 1.2 - Prob. 13PPECh. 1.2 - Prob. 14PPECh. 1.2 - Prob. 15PPECh. 1.2 - Prob. 16PPECh. 1.2 - Prob. 17PPECh. 1.2 - Prob. 18PPECh. 1.2 - Prob. 19PPECh. 1.2 - Prob. 20PPECh. 1.2 - Prob. 21PPECh. 1.2 - Prob. 22PPECh. 1.2 - Prob. 23PPECh. 1.2 - Prob. 24PPECh. 1.2 - Prob. 25PPECh. 1.2 - Prob. 26PPECh. 1.2 - Prob. 27PPECh. 1.2 - Prob. 28PPECh. 1.2 - Prob. 29PPECh. 1.2 - Prob. 30PPECh. 1.2 - Prob. 31PPECh. 1.2 - Prob. 32PPECh. 1.2 - Prob. 33PPECh. 1.2 - Prob. 34PPECh. 1.2 - Prob. 35PPECh. 1.2 - Prob. 36PPECh. 1.2 - Prob. 37PPECh. 1.2 - Prob. 38PPECh. 1.2 - Prob. 39PPECh. 1.2 - Prob. 40PPECh. 1.2 - Prob. 41PPECh. 1.2 - Prob. 42PPECh. 1.2 - Prob. 43PPECh. 1.2 - Prob. 44PPECh. 1.2 - Prob. 45PPECh. 1.2 - Prob. 46PPECh. 1.2 - Prob. 47PPECh. 1.2 - Prob. 48PPECh. 1.2 - Prob. 49PPECh. 1.2 - Prob. 50PPECh. 1.2 - Prob. 51PPECh. 1.2 - Prob. 52PPECh. 1.2 - Prob. 53PPECh. 1.2 - Prob. 54PPECh. 1.2 - Prob. 55PPECh. 1.2 - Prob. 56PPECh. 1.2 - Prob. 57PPECh. 1.2 - Prob. 58PPECh. 1.2 - Prob. 59PPECh. 1.2 - Prob. 60PPECh. 1.2 - Prob. 61STPCh. 1.2 - Prob. 62STPCh. 1.2 - Prob. 63STPCh. 1.2 - Prob. 64STPCh. 1.2 - Prob. 65MRCh. 1.2 - Prob. 66MRCh. 1.2 - Prob. 67MRCh. 1.2 - Prob. 68MRCh. 1.2 - Prob. 69MRCh. 1.2 - Prob. 70MRCh. 1.2 - Prob. 71MRCh. 1.2 - Prob. 72MRCh. 1.2 - Prob. 73MRCh. 1.2 - Prob. 74MRCh. 1.2 - Prob. 75MRCh. 1.2 - Prob. 76MRCh. 1.2 - Prob. 77MRCh. 1.2 - Prob. 78MRCh. 1.2 - Prob. 79MRCh. 1.2 - Prob. 80MRCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 1LCCh. 1.3 - Prob. 2LCCh. 1.3 - Prob. 3LCCh. 1.3 - Prob. 4LCCh. 1.3 - Prob. 5LCCh. 1.3 - Prob. 6LCCh. 1.3 - Prob. 7LCCh. 1.3 - Prob. 8LCCh. 1.3 - Prob. 9PPECh. 1.3 - Prob. 10PPECh. 1.3 - Prob. 11PPECh. 1.3 - Prob. 12PPECh. 1.3 - Prob. 13PPECh. 1.3 - Prob. 14PPECh. 1.3 - Prob. 15PPECh. 1.3 - Prob. 16PPECh. 1.3 - Prob. 17PPECh. 1.3 - Prob. 18PPECh. 1.3 - Prob. 19PPECh. 1.3 - Prob. 20PPECh. 1.3 - Prob. 21PPECh. 1.3 - Prob. 22PPECh. 1.3 - Prob. 23PPECh. 1.3 - Prob. 24PPECh. 1.3 - Prob. 25PPECh. 1.3 - Prob. 26PPECh. 1.3 - Prob. 27PPECh. 1.3 - Prob. 28PPECh. 1.3 - Prob. 29PPECh. 1.3 - Prob. 30PPECh. 1.3 - Prob. 31PPECh. 1.3 - Prob. 32PPECh. 1.3 - Prob. 33PPECh. 1.3 - Prob. 34PPECh. 1.3 - Prob. 35PPECh. 1.3 - Prob. 36PPECh. 1.3 - Prob. 37PPECh. 1.3 - Prob. 38PPECh. 1.3 - Prob. 39PPECh. 1.3 - Prob. 40PPECh. 1.3 - Prob. 41PPECh. 1.3 - Prob. 42PPECh. 1.3 - Prob. 43PPECh. 1.3 - Prob. 44PPECh. 1.3 - Prob. 45PPECh. 1.3 - Prob. 46PPECh. 1.3 - Prob. 47PPECh. 1.3 - Prob. 48PPECh. 1.3 - Prob. 49PPECh. 1.3 - Prob. 50PPECh. 1.3 - Prob. 51PPECh. 1.3 - Prob. 52PPECh. 1.3 - Prob. 53PPECh. 1.3 - Prob. 54PPECh. 1.3 - Prob. 55PPECh. 1.3 - Prob. 56PPECh. 1.3 - Prob. 57PPECh. 1.3 - Prob. 58PPECh. 1.3 - Prob. 59PPECh. 1.3 - Prob. 60PPECh. 1.3 - Prob. 61PPECh. 1.3 - Prob. 62PPECh. 1.3 - Prob. 63PPECh. 1.3 - Prob. 64PPECh. 1.3 - Prob. 65PPECh. 1.3 - Prob. 66PPECh. 1.3 - Prob. 67PPECh. 1.3 - Prob. 68PPECh. 1.3 - Prob. 69PPECh. 1.3 - Prob. 70PPECh. 1.3 - Prob. 71PPECh. 1.3 - Prob. 72STPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75MRCh. 1.3 - Prob. 76MRCh. 1.3 - Prob. 77MRCh. 1.3 - Prob. 78MRCh. 1.3 - Prob. 79MRCh. 1.3 - Prob. 80MRCh. 1.3 - Prob. 81MRCh. 1.3 - Prob. 82MRCh. 1.3 - Prob. 83MRCh. 1.3 - Prob. 84MRCh. 1.3 - Prob. 85MRCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 1LCCh. 1.4 - Prob. 2LCCh. 1.4 - Prob. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7PPECh. 1.4 - Prob. 8PPECh. 1.4 - Prob. 9PPECh. 1.4 - Prob. 10PPECh. 1.4 - Prob. 11PPECh. 1.4 - Prob. 12PPECh. 1.4 - Prob. 13PPECh. 1.4 - Prob. 14PPECh. 1.4 - Prob. 15PPECh. 1.4 - Prob. 16PPECh. 1.4 - Prob. 17PPECh. 1.4 - Prob. 18PPECh. 1.4 - Prob. 19PPECh. 1.4 - Prob. 20PPECh. 1.4 - Prob. 21PPECh. 1.4 - Prob. 22PPECh. 1.4 - Prob. 23PPECh. 1.4 - Prob. 24PPECh. 1.4 - Prob. 25PPECh. 1.4 - Prob. 26PPECh. 1.4 - Prob. 27PPECh. 1.4 - Prob. 28PPECh. 1.4 - Prob. 29PPECh. 1.4 - Prob. 30PPECh. 1.4 - Prob. 31PPECh. 1.4 - Prob. 32PPECh. 1.4 - Prob. 33PPECh. 1.4 - Prob. 34PPECh. 1.4 - Prob. 35PPECh. 1.4 - Prob. 36PPECh. 1.4 - Prob. 37PPECh. 1.4 - Prob. 38PPECh. 1.4 - Prob. 39PPECh. 1.4 - Prob. 40PPECh. 1.4 - Prob. 41PPECh. 1.4 - Prob. 42PPECh. 1.4 - Prob. 43PPECh. 1.4 - Prob. 44PPECh. 1.4 - Prob. 45PPECh. 1.4 - Prob. 46PPECh. 1.4 - Prob. 47PPECh. 1.4 - Prob. 48PPECh. 1.4 - Prob. 49PPECh. 1.4 - Prob. 50PPECh. 1.4 - Prob. 51PPECh. 1.4 - Prob. 52PPECh. 1.4 - Prob. 53PPECh. 1.4 - Prob. 54PPECh. 1.4 - Prob. 55PPECh. 1.4 - Prob. 56PPECh. 1.4 - Prob. 57PPECh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59STPCh. 1.4 - Prob. 60STPCh. 1.4 - Prob. 61STPCh. 1.4 - Prob. 62RECh. 1.4 - Prob. 63RECh. 1.4 - Prob. 64RECh. 1.4 - Prob. 65RECh. 1.4 - Prob. 66RECh. 1.4 - Prob. 67RECh. 1.4 - Prob. 68RECh. 1.4 - Prob. 1MCQCh. 1.4 - Prob. 2MCQCh. 1.4 - Prob. 3MCQCh. 1.4 - Prob. 4MCQCh. 1.4 - Prob. 5MCQCh. 1.4 - Prob. 6MCQCh. 1.4 - Prob. 7MCQCh. 1.4 - Prob. 8MCQCh. 1.4 - Prob. 9MCQCh. 1.4 - Prob. 10MCQCh. 1.4 - Prob. 11MCQCh. 1.4 - Prob. 12MCQCh. 1.4 - Prob. 13MCQCh. 1.4 - Prob. 14MCQCh. 1.4 - Prob. 15MCQCh. 1.4 - Prob. 16MCQCh. 1.4 - Prob. 17MCQCh. 1.4 - Prob. 18MCQCh. 1.4 - Prob. 19MCQCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPECh. 1.5 - Prob. 11PPECh. 1.5 - Prob. 12PPECh. 1.5 - Prob. 13PPECh. 1.5 - Prob. 14PPECh. 1.5 - Prob. 15PPECh. 1.5 - Prob. 16PPECh. 1.5 - Prob. 17PPECh. 1.5 - Prob. 18PPECh. 1.5 - Prob. 19PPECh. 1.5 - Prob. 20PPECh. 1.5 - Prob. 21PPECh. 1.5 - Prob. 22PPECh. 1.5 - Prob. 23PPECh. 1.5 - Prob. 24PPECh. 1.5 - Prob. 25PPECh. 1.5 - Prob. 26PPECh. 1.5 - Prob. 27PPECh. 1.5 - Prob. 28PPECh. 1.5 - Prob. 29PPECh. 1.5 - Prob. 30PPECh. 1.5 - Prob. 31PPECh. 1.5 - Prob. 32PPECh. 1.5 - Prob. 33PPECh. 1.5 - Prob. 34PPECh. 1.5 - Prob. 35PPECh. 1.5 - Prob. 36PPECh. 1.5 - Prob. 37PPECh. 1.5 - Prob. 38PPECh. 1.5 - Prob. 39PPECh. 1.5 - Prob. 40PPECh. 1.5 - Prob. 41PPECh. 1.5 - Prob. 42PPECh. 1.5 - Prob. 43PPECh. 1.5 - Prob. 44PPECh. 1.5 - Prob. 45PPECh. 1.5 - Prob. 46PPECh. 1.5 - Prob. 47PPECh. 1.5 - Prob. 48PPECh. 1.5 - Prob. 49PPECh. 1.5 - Prob. 50PPECh. 1.5 - Prob. 51PPECh. 1.5 - Prob. 52PPECh. 1.5 - Prob. 53PPECh. 1.5 - Prob. 54PPECh. 1.5 - Prob. 55PPECh. 1.5 - Prob. 56PPECh. 1.5 - Prob. 57PPECh. 1.5 - Prob. 58PPECh. 1.5 - Prob. 59PPECh. 1.5 - Prob. 60PPECh. 1.5 - Prob. 61PPECh. 1.5 - Prob. 62PPECh. 1.5 - Prob. 63PPECh. 1.5 - Prob. 64PPECh. 1.5 - Prob. 65PPECh. 1.5 - Prob. 66PPECh. 1.5 - Prob. 67PPECh. 1.5 - Prob. 68PPECh. 1.5 - Prob. 69PPECh. 1.5 - Prob. 70STPCh. 1.5 - Prob. 71STPCh. 1.5 - Prob. 72STPCh. 1.5 - Prob. 73STPCh. 1.5 - Prob. 74STPCh. 1.5 - Prob. 75MRCh. 1.5 - Prob. 76MRCh. 1.5 - Prob. 77MRCh. 1.5 - Prob. 78MRCh. 1.5 - Prob. 79MRCh. 1.5 - Prob. 80MRCh. 1.5 - Prob. 81MRCh. 1.5 - Prob. 82MRCh. 1.5 - Prob. 83MRCh. 1.5 - Prob. 84MRCh. 1.5 - Prob. 85MRCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8PPECh. 1.6 - Prob. 9PPECh. 1.6 - Prob. 10PPECh. 1.6 - Prob. 11PPECh. 1.6 - Prob. 12PPECh. 1.6 - Prob. 13PPECh. 1.6 - Prob. 14PPECh. 1.6 - Prob. 15PPECh. 1.6 - Prob. 16PPECh. 1.6 - Prob. 17PPECh. 1.6 - Prob. 18PPECh. 1.6 - Prob. 19PPECh. 1.6 - Prob. 20PPECh. 1.6 - Prob. 21PPECh. 1.6 - Prob. 22PPECh. 1.6 - Prob. 23PPECh. 1.6 - Prob. 24PPECh. 1.6 - Prob. 25PPECh. 1.6 - Prob. 26PPECh. 1.6 - Prob. 27PPECh. 1.6 - Prob. 28PPECh. 1.6 - Prob. 29PPECh. 1.6 - Prob. 30PPECh. 1.6 - Prob. 31PPECh. 1.6 - Prob. 32PPECh. 1.6 - Prob. 33PPECh. 1.6 - Prob. 34PPECh. 1.6 - Prob. 35PPECh. 1.6 - Prob. 36PPECh. 1.6 - Prob. 37PPECh. 1.6 - Prob. 38PPECh. 1.6 - Prob. 39PPECh. 1.6 - Prob. 40PPECh. 1.6 - Prob. 41PPECh. 1.6 - Prob. 42PPECh. 1.6 - Prob. 43PPECh. 1.6 - Prob. 44PPECh. 1.6 - Prob. 45PPECh. 1.6 - Prob. 46PPECh. 1.6 - Prob. 47PPECh. 1.6 - Prob. 48PPECh. 1.6 - Prob. 49PPECh. 1.6 - Prob. 50PPECh. 1.6 - Prob. 51PPECh. 1.6 - Prob. 52PPECh. 1.6 - Prob. 53PPECh. 1.6 - Prob. 54PPECh. 1.6 - Prob. 55PPECh. 1.6 - Prob. 56PPECh. 1.6 - Prob. 57PPECh. 1.6 - Prob. 58PPECh. 1.6 - Prob. 59PPECh. 1.6 - Prob. 60PPECh. 1.6 - Prob. 61PPECh. 1.6 - Prob. 62PPECh. 1.6 - Prob. 63PPECh. 1.6 - Prob. 64PPECh. 1.6 - Prob. 65PPECh. 1.6 - Prob. 66PPECh. 1.6 - Prob. 67PPECh. 1.6 - Prob. 68PPECh. 1.6 - Prob. 69PPECh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72STPCh. 1.6 - Prob. 73MRCh. 1.6 - Prob. 74MRCh. 1.6 - Prob. 75MRCh. 1.6 - Prob. 76MRCh. 1.6 - Prob. 77MRCh. 1.6 - Prob. 78MRCh. 1.6 - Prob. 1CBCh. 1.6 - Prob. 2CBCh. 1.6 - Prob. 3CBCh. 1.6 - Prob. 4CBCh. 1.6 - Prob. 5CBCh. 1.6 - Prob. 6CBCh. 1.6 - Prob. 7CBCh. 1.6 - Prob. 8CBCh. 1.6 - Prob. 9CBCh. 1.6 - Prob. 10CBCh. 1.6 - Prob. 11CBCh. 1.6 - Prob. 12CBCh. 1.6 - Prob. 13CBCh. 1.6 - Prob. 14CBCh. 1.6 - Prob. 15CBCh. 1.6 - Prob. 16CBCh. 1.6 - Prob. 17CBCh. 1.6 - Prob. 18CBCh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 1LCCh. 1.7 - Prob. 2LCCh. 1.7 - Prob. 3LCCh. 1.7 - Prob. 4LCCh. 1.7 - Prob. 5LCCh. 1.7 - Prob. 6LCCh. 1.7 - Prob. 7LCCh. 1.7 - Prob. 8LCCh. 1.7 - Prob. 9PPECh. 1.7 - Prob. 10PPECh. 1.7 - Prob. 11PPECh. 1.7 - Prob. 12PPECh. 1.7 - Prob. 13PPECh. 1.7 - Prob. 14PPECh. 1.7 - Prob. 15PPECh. 1.7 - Prob. 16PPECh. 1.7 - Prob. 17PPECh. 1.7 - Prob. 18PPECh. 1.7 - Prob. 19PPECh. 1.7 - Prob. 20PPECh. 1.7 - Prob. 21PPECh. 1.7 - Prob. 22PPECh. 1.7 - Prob. 23PPECh. 1.7 - Prob. 24PPECh. 1.7 - Prob. 25PPECh. 1.7 - Prob. 26PPECh. 1.7 - Prob. 27PPECh. 1.7 - Prob. 28PPECh. 1.7 - Prob. 29PPECh. 1.7 - Prob. 30PPECh. 1.7 - Prob. 31PPECh. 1.7 - Prob. 32PPECh. 1.7 - Prob. 33PPECh. 1.7 - Prob. 34PPECh. 1.7 - Prob. 35PPECh. 1.7 - Prob. 36PPECh. 1.7 - Prob. 37PPECh. 1.7 - Prob. 38PPECh. 1.7 - Prob. 39PPECh. 1.7 - Prob. 40PPECh. 1.7 - Prob. 41PPECh. 1.7 - Prob. 42PPECh. 1.7 - Prob. 43PPECh. 1.7 - Prob. 44PPECh. 1.7 - Prob. 45PPECh. 1.7 - Prob. 46PPECh. 1.7 - Prob. 47PPECh. 1.7 - Prob. 48PPECh. 1.7 - Prob. 49PPECh. 1.7 - Prob. 50PPECh. 1.7 - Prob. 51PPECh. 1.7 - Prob. 52PPECh. 1.7 - Prob. 53PPECh. 1.7 - Prob. 54PPECh. 1.7 - Prob. 55PPECh. 1.7 - Prob. 56PPECh. 1.7 - Prob. 57PPECh. 1.7 - Prob. 58PPECh. 1.7 - Prob. 59PPECh. 1.7 - Prob. 60PPECh. 1.7 - Prob. 61PPECh. 1.7 - Prob. 62PPECh. 1.7 - Prob. 63PPECh. 1.7 - Prob. 64PPECh. 1.7 - Prob. 65PPECh. 1.7 - Prob. 66PPECh. 1.7 - Prob. 67PPECh. 1.7 - Prob. 68PPECh. 1.7 - Prob. 69PPECh. 1.7 - Prob. 70PPECh. 1.7 - Prob. 71PPECh. 1.7 - Prob. 72PPECh. 1.7 - Prob. 73PPECh. 1.7 - Prob. 74PPECh. 1.7 - Prob. 75PPECh. 1.7 - Prob. 76PPECh. 1.7 - Prob. 77PPECh. 1.7 - Prob. 78PPECh. 1.7 - Prob. 79PPECh. 1.7 - Prob. 80PPECh. 1.7 - Prob. 81PPECh. 1.7 - Prob. 82PPECh. 1.7 - Prob. 83PPECh. 1.7 - Prob. 84PPECh. 1.7 - Prob. 85PPECh. 1.7 - Prob. 86PPECh. 1.7 - Prob. 87PPECh. 1.7 - Prob. 88PPECh. 1.7 - Prob. 89PPECh. 1.7 - Prob. 90PPECh. 1.7 - Prob. 1MPCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 1LCCh. 1.8 - Prob. 2LCCh. 1.8 - Prob. 3LCCh. 1.8 - Prob. 4LCCh. 1.8 - Prob. 5LCCh. 1.8 - Prob. 6LCCh. 1.8 - Prob. 7PPECh. 1.8 - Prob. 8PPECh. 1.8 - Prob. 9PPECh. 1.8 - Prob. 10PPECh. 1.8 - Prob. 11PPECh. 1.8 - Prob. 12PPECh. 1.8 - Prob. 13PPECh. 1.8 - Prob. 14PPECh. 1.8 - Prob. 15PPECh. 1.8 - Prob. 16PPECh. 1.8 - Prob. 17PPECh. 1.8 - Prob. 18PPECh. 1.8 - Prob. 19PPECh. 1.8 - Prob. 20PPECh. 1.8 - Prob. 21PPECh. 1.8 - Prob. 22PPECh. 1.8 - Prob. 23PPECh. 1.8 - Prob. 24PPECh. 1.8 - Prob. 25PPECh. 1.8 - Prob. 26PPECh. 1.8 - Prob. 27PPECh. 1.8 - Prob. 28PPECh. 1.8 - Prob. 29PPECh. 1.8 - Prob. 30PPECh. 1.8 - Prob. 31PPECh. 1.8 - Prob. 32PPECh. 1.8 - Prob. 33PPECh. 1.8 - Prob. 34PPECh. 1.8 - Prob. 35PPECh. 1.8 - Prob. 36PPECh. 1.8 - Prob. 37PPECh. 1.8 - Prob. 38PPECh. 1.8 - Prob. 39PPECh. 1.8 - Prob. 40PPECh. 1.8 - Prob. 41PPECh. 1.8 - Prob. 42PPECh. 1.8 - Prob. 43PPECh. 1.8 - Prob. 44PPECh. 1.8 - Prob. 45PPECh. 1.8 - Prob. 46PPECh. 1.8 - Prob. 47PPECh. 1.8 - Prob. 48PPECh. 1.8 - Prob. 49PPECh. 1.8 - Prob. 50PPECh. 1.8 - Prob. 51PPECh. 1.8 - Prob. 52PPECh. 1.8 - Prob. 53PPECh. 1.8 - Prob. 54PPECh. 1.8 - Prob. 55PPECh. 1.8 - Prob. 56PPECh. 1.8 - Prob. 57PPECh. 1.8 - Prob. 58PPECh. 1.8 - Prob. 59PPECh. 1.8 - Prob. 60PPECh. 1.8 - Prob. 61PPECh. 1.8 - Prob. 62PPECh. 1.8 - Prob. 63PPECh. 1.8 - Prob. 64PPECh. 1.8 - Prob. 65PPECh. 1.8 - Prob. 66PPECh. 1.8 - Prob. 1MPCh. 1.8 - Prob. 1CBCh. 1.8 - Prob. 2CBCh. 1.9 - Prob. 1RCh. 1.9 - Prob. 2RCh. 1.9 - Prob. 3RCh. 1.9 - Prob. 4RCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 1LCCh. 1.9 - Prob. 2LCCh. 1.9 - Prob. 3LCCh. 1.9 - Prob. 4LCCh. 1.9 - Prob. 5LCCh. 1.9 - Prob. 6LCCh. 1.9 - Prob. 7LCCh. 1.9 - Prob. 8PPECh. 1.9 - Prob. 9PPECh. 1.9 - Prob. 10PPECh. 1.9 - Prob. 11PPECh. 1.9 - Prob. 12PPECh. 1.9 - Prob. 13PPECh. 1.9 - Prob. 14PPECh. 1.9 - Prob. 15PPECh. 1.9 - Prob. 16PPECh. 1.9 - Prob. 17PPECh. 1.9 - Prob. 18PPECh. 1.9 - Prob. 19PPECh. 1.9 - Prob. 20PPECh. 1.9 - Prob. 21PPECh. 1.9 - Prob. 22PPECh. 1.9 - Prob. 23PPECh. 1.9 - Prob. 24PPECh. 1.9 - Prob. 25PPECh. 1.9 - Prob. 26PPECh. 1.9 - Prob. 27PPECh. 1.9 - Prob. 28PPECh. 1.9 - Prob. 29PPECh. 1.9 - Prob. 30PPECh. 1.9 - Prob. 31PPECh. 1.9 - Prob. 32PPECh. 1.9 - Prob. 33PPECh. 1.9 - Prob. 34PPECh. 1.9 - Prob. 35PPECh. 1.9 - Prob. 36STPCh. 1.9 - Prob. 37STPCh. 1.9 - Prob. 38STPCh. 1.9 - Prob. 39STPCh. 1.9 - Prob. 40MRCh. 1.9 - Prob. 41MRCh. 1.9 - Prob. 42MRCh. 1.9 - Prob. 43MRCh. 1.9 - Prob. 44MRCh. 1.9 - Prob. 45MRCh. 1.9 - Prob. 46MRCh. 1.9 - Prob. 47MRCh. 1.9 - Prob. 48MRCh. 1.9 - Prob. 49MRCh. 1.9 - Prob. 50MRCh. 1.9 - Prob. 51MRCh. 1.9 - Prob. 52MRCh. 1.9 - Prob. 53MRCh. 1.9 - Prob. 54MRCh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CRCh. 1 - Prob. 42CRCh. 1 - Prob. 43CRCh. 1 - Prob. 44CRCh. 1 - Prob. 45CRCh. 1 - Prob. 46CRCh. 1 - Prob. 47CRCh. 1 - Prob. 48CRCh. 1 - Prob. 49CRCh. 1 - Prob. 50CRCh. 1 - Prob. 51CRCh. 1 - Prob. 52CRCh. 1 - Prob. 53CRCh. 1 - Prob. 54CRCh. 1 - Prob. 55CRCh. 1 - Prob. 56CRCh. 1 - Prob. 57CRCh. 1 - Prob. 58CRCh. 1 - Prob. 59CRCh. 1 - Prob. 60CRCh. 1 - Prob. 61CRCh. 1 - Prob. 62CRCh. 1 - Prob. 63CRCh. 1 - Prob. 64CRCh. 1 - Prob. 65CRCh. 1 - Prob. 66CRCh. 1 - Prob. 67CRCh. 1 - Prob. 68CRCh. 1 - Prob. 69CRCh. 1 - Prob. 70CRCh. 1 - Prob. 71CRCh. 1 - Prob. 72CRCh. 1 - Prob. 73CRCh. 1 - Prob. 74CRCh. 1 - Prob. 75CRCh. 1 - Prob. 76CRCh. 1 - Prob. 77CRCh. 1 - Prob. 78CRCh. 1 - Prob. 79CRCh. 1 - Prob. 80CRCh. 1 - Prob. 81CRCh. 1 - Prob. 82CRCh. 1 - Prob. 83CRCh. 1 - Prob. 84CRCh. 1 - Prob. 85CRCh. 1 - Prob. 86CRCh. 1 - Prob. 87CRCh. 1 - Prob. 88CRCh. 1 - Prob. 89CRCh. 1 - Prob. 90CRCh. 1 - Prob. 91CRCh. 1 - Prob. 92CRCh. 1 - Prob. 93CRCh. 1 - Prob. 94CRCh. 1 - Prob. 95CRCh. 1 - Prob. 96CRCh. 1 - Prob. 97CRCh. 1 - Prob. 98CRCh. 1 - Prob. 99CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSRCh. 1 - Prob. 22CCSRCh. 1 - Prob. 23CCSRCh. 1 - Prob. 24CCSR

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