Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Chapter 7.2, Problem 46IP

(a)

To determine

A table to show the bacteria population for the first 4 hours

(a)

Expert Solution
Check Mark

Answer to Problem 46IP

    Width of a RectanglePerimeter

      P=2(l+w)

    16
    212
    318
    424
    530
    636

Explanation of Solution

Given:

A rectangle that has a length that is twice its width

  width=xlength=2x

Glencoe Math Accelerated, Student Edition, Chapter 7.2, Problem 46IP , additional homework tip 1

Concept Used:

Perimeter of rectangle P=2(length+width)

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.

Calculation:

In order to make a table that shows the width of a rectangle and its perimeter for widths of 1, 2,3,4,5, and 6 unit is below:

  Width=1Perimeter=2(x+2x)=2(1+2⋅1)=6Width=2Perimeter=2(x+2x)=2(2+2⋅2)=12Width=3Perimeter=2(x+2x)=2(3+2⋅3)=18Width=4Perimeter=2(x+2x)=2(4+2⋅4)=24Width=5Perimeter=2(x+2x)=2(5+2⋅5)=30Width=6Perimeter=2(x+2x)=2(6+2⋅6)=36

Thus, the table is below:

    Width of a RectanglePerimeter

      P=2(l+w)

    16
    212
    318
    424
    530
    636

Thus, the table is above for the perimeter of rectangle

(b)

To determine

Graph the ordered pairs (width, perimeter)

(b)

Expert Solution
Check Mark

Answer to Problem 46IP

The Graph

Glencoe Math Accelerated, Student Edition, Chapter 7.2, Problem 46IP , additional homework tip 2

Explanation of Solution

Given: the ordered pairs are (1,6),(2,12),(3,18),(4,24),(5,30),(6,36)

    Width of a RectanglePerimeter

      P=2(l+w)

    16
    212
    318
    424
    530
    636

Concept Used:

  • In rectangular coordinate system any point be in the form of (x,y) .
  • In Quadrant I, both the coordinates of ordered pair are positive, that is, (+,+) .
  • In Quadrant II, first number is negative and second is positive, that is, (−,+) .
  • In Quadrant III, both the coordinates of ordered pair are negative, that is, (−,−) .
  • In Quadrant IV, first point is positive and second is negative, that is, (+,−) .

In order to plot the point (1,6),(2,12),(3,18),(4,24),(5,30),(6,36) , observe that both numbers are same they are positive, so the point will be in first quadrant.

To plot the graph of the point (1,6) , first move 1 units to the right starting from origin and then move 6 units up.

To plot the graph of the point (2,12) , first move 2 units to the right starting from origin and then move 12 units up.

To plot the graph of the point (3,18) , first move 3 units to the right starting from origin and then move 18 units up.

To plot the graph of the point (4,24) , first move 4 units to the right starting from origin and then move 24 units up.

To plot the graph of the point (5,30) , first move 5 units to the right starting from origin and then move 30 units up.

To plot the graph of the point (6,36) , first move 6 units to the right starting from origin and then move 36 units up.

The graph of the point is shown below:

Glencoe Math Accelerated, Student Edition, Chapter 7.2, Problem 46IP , additional homework tip 3

(c)

To determine

An expression in simplest form for the perimeter of the rectangle

(c)

Expert Solution
Check Mark

Answer to Problem 46IP

The expression is P=6x .

Explanation of Solution

Given:

A rectangle that has a length that is twice its width

  width=xlength=2x

Glencoe Math Accelerated, Student Edition, Chapter 7.2, Problem 46IP , additional homework tip 4

Concept Used:

Perimeter of rectangle P=2(length+width)

Calculation:

In order to find the expression for the perimeter is below:

  P=2(length+width)P=2(2x+x)=2(3x)P=6x

Thus, the expression is P=6x .

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Chapter 7 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 7.1 - Prob. 1GPCh. 7.1 - Prob. 2GPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4GPCh. 7.1 - Prob. 5GPCh. 7.1 - Prob. 6GPCh. 7.1 - Prob. 7GPCh. 7.1 - Prob. 8GPCh. 7.1 - Prob. 9GPCh. 7.1 - Prob. 10IP
Ch. 7.1 - Prob. 11IPCh. 7.1 - Prob. 12IPCh. 7.1 - Prob. 13IPCh. 7.1 - Prob. 14IPCh. 7.1 - Prob. 15IPCh. 7.1 - Prob. 16IPCh. 7.1 - Prob. 17IPCh. 7.1 - Prob. 18IPCh. 7.1 - Prob. 19IPCh. 7.1 - Prob. 20IPCh. 7.1 - Prob. 21IPCh. 7.1 - Prob. 22IPCh. 7.1 - Prob. 23IPCh. 7.1 - Prob. 24IPCh. 7.1 - Prob. 25IPCh. 7.1 - Prob. 26IPCh. 7.1 - Prob. 27IPCh. 7.1 - Prob. 28IPCh. 7.1 - Prob. 29IPCh. 7.1 - Prob. 30IPCh. 7.1 - Prob. 31IPCh. 7.1 - Prob. 32IPCh. 7.1 - Prob. 33IPCh. 7.1 - Prob. 34IPCh. 7.1 - Prob. 35IPCh. 7.1 - Prob. 36IPCh. 7.1 - Prob. 37HPCh. 7.1 - Prob. 38HPCh. 7.1 - Prob. 39HPCh. 7.1 - Prob. 40STPCh. 7.1 - Prob. 41STPCh. 7.1 - Prob. 42STPCh. 7.1 - Prob. 43STPCh. 7.1 - Prob. 44CCRCh. 7.1 - Prob. 45CCRCh. 7.1 - Prob. 46CCRCh. 7.1 - Prob. 47CCRCh. 7.1 - Prob. 48CCRCh. 7.1 - Prob. 49CCRCh. 7.1 - Prob. 50CCRCh. 7.1 - Prob. 51CCRCh. 7.1 - Prob. 52CCRCh. 7.1 - Prob. 53CCRCh. 7.2 - Prob. 1GPCh. 7.2 - Prob. 2GPCh. 7.2 - Prob. 3GPCh. 7.2 - Prob. 4GPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 6GPCh. 7.2 - Prob. 7GPCh. 7.2 - Prob. 8GPCh. 7.2 - Prob. 9GPCh. 7.2 - Prob. 10GPCh. 7.2 - Prob. 11GPCh. 7.2 - Prob. 12GPCh. 7.2 - Prob. 13GPCh. 7.2 - Prob. 14GPCh. 7.2 - Prob. 15IPCh. 7.2 - Prob. 16IPCh. 7.2 - Prob. 17IPCh. 7.2 - Prob. 18IPCh. 7.2 - Prob. 19IPCh. 7.2 - Prob. 20IPCh. 7.2 - Prob. 21IPCh. 7.2 - Prob. 22IPCh. 7.2 - Prob. 23IPCh. 7.2 - Prob. 24IPCh. 7.2 - Prob. 25IPCh. 7.2 - Prob. 26IPCh. 7.2 - Prob. 27IPCh. 7.2 - Prob. 28IPCh. 7.2 - Prob. 29IPCh. 7.2 - Prob. 30IPCh. 7.2 - Prob. 31IPCh. 7.2 - Prob. 32IPCh. 7.2 - Prob. 33IPCh. 7.2 - Prob. 34IPCh. 7.2 - Prob. 35IPCh. 7.2 - Prob. 36IPCh. 7.2 - Prob. 37IPCh. 7.2 - Prob. 38IPCh. 7.2 - Prob. 39IPCh. 7.2 - Prob. 40IPCh. 7.2 - Prob. 41IPCh. 7.2 - Prob. 42IPCh. 7.2 - Prob. 43IPCh. 7.2 - Prob. 44IPCh. 7.2 - Prob. 45IPCh. 7.2 - Prob. 46IPCh. 7.2 - Prob. 47IPCh. 7.2 - Prob. 48IPCh. 7.2 - Prob. 49IPCh. 7.2 - Prob. 50IPCh. 7.2 - Prob. 51IPCh. 7.2 - Prob. 52IPCh. 7.2 - Prob. 53IPCh. 7.2 - Prob. 54HPCh. 7.2 - Prob. 55HPCh. 7.2 - Prob. 56HPCh. 7.2 - Prob. 57HPCh. 7.2 - Prob. 58HPCh. 7.2 - Prob. 59HPCh. 7.2 - Prob. 60STPCh. 7.2 - Prob. 61STPCh. 7.2 - Prob. 62STPCh. 7.2 - Prob. 63STPCh. 7.2 - Prob. 64CCRCh. 7.2 - Prob. 65CCRCh. 7.2 - Prob. 66CCRCh. 7.2 - Prob. 67CCRCh. 7.2 - Prob. 68CCRCh. 7.2 - Prob. 69CCRCh. 7.2 - Prob. 70CCRCh. 7.2 - Prob. 71CCRCh. 7.2 - Prob. 72CCRCh. 7.2 - Prob. 73CCRCh. 7.2 - Prob. 74CCRCh. 7.2 - Prob. 75CCRCh. 7.2 - Prob. 76CCRCh. 7.2 - Prob. 77CCRCh. 7.2 - Prob. 78CCRCh. 7.2 - Prob. 79CCRCh. 7.2 - Prob. 80CCRCh. 7.2 - Prob. 81CCRCh. 7.2 - Prob. 82CCRCh. 7.2 - Prob. 83CCRCh. 7.3 - Prob. 1GPCh. 7.3 - Prob. 2GPCh. 7.3 - Prob. 3GPCh. 7.3 - Prob. 4GPCh. 7.3 - Prob. 5GPCh. 7.3 - Prob. 6IPCh. 7.3 - Prob. 7IPCh. 7.3 - Prob. 8IPCh. 7.3 - Prob. 9IPCh. 7.3 - Prob. 10IPCh. 7.3 - Prob. 11IPCh. 7.3 - Prob. 12IPCh. 7.3 - Prob. 13IPCh. 7.3 - Prob. 14IPCh. 7.3 - Prob. 15IPCh. 7.3 - Prob. 16IPCh. 7.3 - Prob. 17IPCh. 7.3 - Prob. 18HPCh. 7.3 - Prob. 19HPCh. 7.3 - Prob. 20HPCh. 7.3 - Prob. 21HPCh. 7.3 - Prob. 22STPCh. 7.3 - Prob. 23STPCh. 7.3 - Prob. 24STPCh. 7.3 - Prob. 25STPCh. 7.3 - Prob. 26CCRCh. 7.3 - Prob. 27CCRCh. 7.3 - Prob. 28CCRCh. 7.3 - Prob. 29CCRCh. 7.3 - Prob. 30CCRCh. 7.3 - Prob. 31CCRCh. 7.3 - Prob. 32CCRCh. 7.3 - Prob. 33CCRCh. 7.3 - Prob. 34CCRCh. 7.3 - Prob. 35CCRCh. 7.3 - Prob. 36CCRCh. 7.3 - Prob. 37CCRCh. 7.3 - Prob. 38CCRCh. 7.3 - Prob. 39CCRCh. 7.3 - Prob. 40CCRCh. 7.3 - Prob. 41CCRCh. 7.3 - Prob. 42CCRCh. 7.3 - Prob. 43CCRCh. 7.3 - Prob. 44CCRCh. 7.3 - Prob. 45CCRCh. 7.3 - Prob. 46CCRCh. 7.3 - Prob. 47CCRCh. 7.4 - Prob. 1GPCh. 7.4 - Prob. 2GPCh. 7.4 - Prob. 3GPCh. 7.4 - Prob. 4GPCh. 7.4 - Prob. 5GPCh. 7.4 - Prob. 6IPCh. 7.4 - Prob. 7IPCh. 7.4 - Prob. 8IPCh. 7.4 - Prob. 9IPCh. 7.4 - Prob. 10IPCh. 7.4 - Prob. 11IPCh. 7.4 - Prob. 12IPCh. 7.4 - Prob. 13IPCh. 7.4 - Prob. 14IPCh. 7.4 - Prob. 15HPCh. 7.4 - Prob. 16HPCh. 7.4 - Prob. 17HPCh. 7.4 - Prob. 18STPCh. 7.4 - Prob. 19STPCh. 7.4 - Prob. 20STPCh. 7.4 - Prob. 21STPCh. 7.4 - Prob. 22CCRCh. 7.4 - Prob. 23CCRCh. 7.4 - Prob. 24CCRCh. 7.4 - Prob. 25CCRCh. 7.4 - Prob. 26CCRCh. 7.4 - Prob. 27CCRCh. 7.4 - Prob. 28CCRCh. 7.4 - Prob. 29CCRCh. 7.4 - Prob. 30CCRCh. 7.4 - Prob. 31CCRCh. 7.4 - Prob. 32CCRCh. 7.4 - Prob. 33CCRCh. 7.4 - Prob. 34CCRCh. 7.4 - Prob. 35CCRCh. 7.4 - Prob. 36CCRCh. 7.4 - Prob. 37CCRCh. 7.4 - Prob. 38CCRCh. 7.4 - Prob. 39CCRCh. 7.4 - Prob. 40CCRCh. 7.4 - Prob. 41CCRCh. 7.4 - Prob. 42CCRCh. 7.4 - Prob. 43CCRCh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 5GPCh. 7.5 - Prob. 6GPCh. 7.5 - Prob. 7GPCh. 7.5 - Prob. 8GPCh. 7.5 - Prob. 9GPCh. 7.5 - Prob. 10GPCh. 7.5 - Prob. 11GPCh. 7.5 - Prob. 12GPCh. 7.5 - Prob. 13GPCh. 7.5 - Prob. 14GPCh. 7.5 - Prob. 15GPCh. 7.5 - Prob. 16GPCh. 7.5 - Prob. 17GPCh. 7.5 - Prob. 18GPCh. 7.5 - Prob. 19GPCh. 7.5 - Prob. 20GPCh. 7.5 - Prob. 21IPCh. 7.5 - Prob. 22IPCh. 7.5 - Prob. 23IPCh. 7.5 - Prob. 24IPCh. 7.5 - Prob. 25IPCh. 7.5 - Prob. 26IPCh. 7.5 - Prob. 27IPCh. 7.5 - Prob. 28IPCh. 7.5 - Prob. 29IPCh. 7.5 - Prob. 30IPCh. 7.5 - Prob. 31IPCh. 7.5 - Prob. 32IPCh. 7.5 - Prob. 33IPCh. 7.5 - Prob. 34IPCh. 7.5 - Prob. 35IPCh. 7.5 - Prob. 36IPCh. 7.5 - Prob. 37IPCh. 7.5 - Prob. 38IPCh. 7.5 - Prob. 39IPCh. 7.5 - Prob. 40IPCh. 7.5 - Prob. 41IPCh. 7.5 - Prob. 42IPCh. 7.5 - Prob. 43IPCh. 7.5 - Prob. 44IPCh. 7.5 - Prob. 45IPCh. 7.5 - Prob. 46IPCh. 7.5 - Prob. 47IPCh. 7.5 - Prob. 48IPCh. 7.5 - Prob. 49IPCh. 7.5 - Prob. 50IPCh. 7.5 - Prob. 51HPCh. 7.5 - Prob. 52HPCh. 7.5 - Prob. 53HPCh. 7.5 - Prob. 54STPCh. 7.5 - Prob. 55STPCh. 7.5 - Prob. 56STPCh. 7.5 - Prob. 57CCRCh. 7.5 - Prob. 58CCRCh. 7.5 - Prob. 59CCRCh. 7.5 - Prob. 60CCRCh. 7.5 - Prob. 61CCRCh. 7.5 - Prob. 62CCRCh. 7.5 - Prob. 63CCRCh. 7.5 - Prob. 64CCRCh. 7.5 - Prob. 65CCRCh. 7.5 - Prob. 66CCRCh. 7.5 - Prob. 67CCRCh. 7.5 - Prob. 68CCRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CR

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