Basic College Mathematics
Basic College Mathematics
13th Edition
ISBN: 9780134689623
Author: BITTINGER, Marvin L., BEECHER, Judith A., Johnson, Barbara L. (barbara Loreen)
Publisher: Pearson Higher Education,
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Chapter 4.2, Problem 15DE
To determine

To solve: The equation x+17.78=56.314.

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a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 12 23 81 82 83 S4 $1 -20 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 2 -2 0 11 0 0 -4 0 -8 b) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize 21 - - 2x2 + x3 - 4x4 subject to 2x1+x22x3x4≥ 1, 5x1+x2-x3-4 -1, 2x1+x2-x3-342, 1, 2, 3, 4 ≥0.
Suppose we have a linear program in standard equation form maximize c'x subject to Ax=b, x≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.
(a) For the following linear programme, sketch the feasible region and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution and give the objective value for this solution. maximize +22 subject to 1 + 2x2 ≤ 4, 1 +3x2 ≤ 12, x1, x2 ≥0 (b) For the following linear programme, sketch the feasible region and the direction of the objective function. Explain, making reference to your sketch, why this linear programme is unbounded. maximize ₁+%2 subject to -2x1 + x2 ≤ 4, x1 - 2x2 ≤4, x1 + x2 ≥ 7, x1,x20 Give any feasible solution to the linear programme for which the objective value is 40 (you do not need to justify your answer).

Chapter 4 Solutions

Basic College Mathematics

Ch. 4.1 - Prob. 8DECh. 4.1 - Prob. 9DECh. 4.1 - Prob. 10DECh. 4.1 - Prob. 11DECh. 4.1 - Prob. 12DECh. 4.1 - Prob. 13DECh. 4.1 - Prob. 14DECh. 4.1 - Prob. 15DECh. 4.1 - Write decimal notation. 16. 456131000Ch. 4.1 - Which number is larger? 17. 2.04, 2.039Ch. 4.1 - Prob. 18DECh. 4.1 - Which number is larger? 19. 0.5, 0.58Ch. 4.1 - Prob. 20DECh. 4.1 - Prob. 21DECh. 4.1 - Prob. 22DECh. 4.1 - Prob. 23DECh. 4.1 - Prob. 24DECh. 4.1 - Prob. 25DECh. 4.1 - Prob. 26DECh. 4.1 - Prob. 27DECh. 4.1 - Prob. 28DECh. 4.1 - Round to the nearest tenth. 29. 34.675Ch. 4.1 - Prob. 30DECh. 4.1 - Prob. 31DECh. 4.1 - Prob. 32DECh. 4.1 - Prob. 33DECh. 4.1 - Round to the nearest thousandth. 34. 37.4005Ch. 4.1 - Round 7459.3548 to the nearest: 35. Thousandth.Ch. 4.1 - Prob. 36DECh. 4.1 - Round 7459.3548 to the nearest: 37. Tenth.Ch. 4.1 - Prob. 38DECh. 4.1 - Prob. 39DECh. 4.1 - Prob. 40DECh. 4.1 - Prob. 41DECh. 4.1 - Prob. 1RCCh. 4.1 - Prob. 2RCCh. 4.1 - Prob. 3RCCh. 4.1 - Prob. 4RCCh. 4.1 - Prob. 5RCCh. 4.1 - Name the digit that represents each place value in...Ch. 4.1 - Name the digit that represents each place value in...Ch. 4.1 - Prob. 8RCCh. 4.1 - Prob. 1CCCh. 4.1 - Prob. 2CCCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Write fraction notation. Do not simplify. 13....Ch. 4.1 - Prob. 14ECh. 4.1 - Write fraction notation. Do not simplify. 15....Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Which number is larger? 43. 0.905, 0.91Ch. 4.1 - Prob. 44ECh. 4.1 - Which number is larger? 45. 0.0009, 0.001Ch. 4.1 - Which number is larger? 46. 7.067, 7.054Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Which number is larger? 50. 73100, 0.73Ch. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Round to the nearest hundredth. 67. 0.094Ch. 4.1 - Prob. 68ECh. 4.1 - Round to the nearest thousandth. 69. 0.3246Ch. 4.1 - Round to the nearest thousandth. 70. 0.6666Ch. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Round to the nearest thousandth. 76. 67.100602Ch. 4.1 - Prob. 77ECh. 4.1 - Round 809.5732 to the nearest: 78. Tenth.Ch. 4.1 - Prob. 79ECh. 4.1 - Prob. 80ECh. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Prob. 85ECh. 4.1 - Prob. 86ECh. 4.1 - Round 34.54389 to the nearest: 87. One. Ch. 4.1 - Prob. 88ECh. 4.1 - Prob. 89ECh. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - Prob. 92ECh. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Prob. 95ECh. 4.1 - Truncating. There are other methods of rounding...Ch. 4.1 - Prob. 97ECh. 4.1 - Prob. 98ECh. 4.1 - Truncating. There are other methods of rounding...Ch. 4.2 - Prob. 1SRCh. 4.2 - Subtract whole numbers.[1.3a] Subtract. 1. 236109_...Ch. 4.2 - Prob. 1DECh. 4.2 - Prob. 2DECh. 4.2 - Prob. 3DECh. 4.2 - Prob. 4DECh. 4.2 - Prob. 5DECh. 4.2 - Add. 6. 789 + 123.67Ch. 4.2 - Prob. 7DECh. 4.2 - Prob. 8DECh. 4.2 - Prob. 9DECh. 4.2 - Prob. 10DECh. 4.2 - Subtract. 11. 0.9564 0.4392Ch. 4.2 - Prob. 12DECh. 4.2 - Prob. 13DECh. 4.2 - Prob. 14DECh. 4.2 - Prob. 15DECh. 4.2 - Prob. 16DECh. 4.2 - Prob. 17DECh. 4.2 - Prob. 1RCCh. 4.2 - Prob. 2RCCh. 4.2 - Prob. 1CCCh. 4.2 - Prob. 2CCCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Subtract. 19.Ch. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Subtract. 36. 624 18.79Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Solve. 57. Round 34,567 to the nearest thousand....Ch. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.3 - Prob. 1SRCh. 4.3 - Prob. 2SRCh. 4.3 - Multiply.Ch. 4.3 - Prob. 2DECh. 4.3 - Prob. 3DECh. 4.3 - Prob. 4DECh. 4.3 - Prob. 5DECh. 4.3 - Prob. 6DECh. 4.3 - Prob. 7DECh. 4.3 - Prob. 8DECh. 4.3 - Prob. 9DECh. 4.3 - Prob. 10DECh. 4.3 - Prob. 11DECh. 4.3 - Prob. 12DECh. 4.3 - Prob. 13DECh. 4.3 - Prob. 14DECh. 4.3 - Prob. 15DECh. 4.3 - Prob. 16DECh. 4.3 - Prob. 17DECh. 4.3 - Prob. 1RCCh. 4.3 - Choose from the list below the factor that...Ch. 4.3 - Prob. 3RCCh. 4.3 - Prob. 4RCCh. 4.3 - Prob. 5RCCh. 4.3 - Prob. 6RCCh. 4.3 - Prob. 1CCCh. 4.3 - Prob. 2CCCh. 4.3 - Prob. 3CCCh. 4.3 - Prob. 4CCCh. 4.3 - Prob. 5CCCh. 4.3 - Prob. 6CCCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - a Multiply. 11. 1000583.686852Ch. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - a Multiply. 15. 0.189.23Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - a Multiply. 39. 32.42.8_Ch. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Find each of the following. Express the answer...Ch. 4.3 - Prob. 74ECh. 4.4 - Divide. 1. 5245Ch. 4.4 - Prob. 2SRCh. 4.4 - Prob. 1DECh. 4.4 - Prob. 2DECh. 4.4 - Prob. 3DECh. 4.4 - Prob. 4DECh. 4.4 - Prob. 5DECh. 4.4 - Prob. 6DECh. 4.4 - Prob. 7DECh. 4.4 - Prob. 8DECh. 4.4 - Prob. 9DECh. 4.4 - Prob. 10DECh. 4.4 - Prob. 11DECh. 4.4 - Prob. 12DECh. 4.4 - Prob. 13DECh. 4.4 - Prob. 14DECh. 4.4 - Prob. 15DECh. 4.4 - Prob. 16DECh. 4.4 - Prob. 17DECh. 4.4 - Prob. 18DECh. 4.4 - Prob. 19DECh. 4.4 - Prob. 20DECh. 4.4 - Prob. 1RCCh. 4.4 - Prob. 2RCCh. 4.4 - Prob. 3RCCh. 4.4 - Prob. 4RCCh. 4.4 - Prob. 5RCCh. 4.4 - Prob. 6RCCh. 4.4 - Prob. 1CCCh. 4.4 - Prob. 2CCCh. 4.4 - Prob. 3CCCh. 4.4 - Prob. 4CCCh. 4.4 - Prob. 5CCCh. 4.4 - Prob. 6CCCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Divide. 11. 12.1233Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Simplify. 64. 12 0.03 12 0.032Ch. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Find the prime factorization. 81. 684Ch. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.5 - Prob. 1SRCh. 4.5 - Prob. 2SRCh. 4.5 - Prob. 1DECh. 4.5 - Prob. 2DECh. 4.5 - Prob. 3DECh. 4.5 - Prob. 4DECh. 4.5 - Prob. 5DECh. 4.5 - Prob. 6DECh. 4.5 - Prob. 7DECh. 4.5 - Prob. 8DECh. 4.5 - Prob. 9DECh. 4.5 - Prob. 10DECh. 4.5 - Round each to the nearest tenth, hundredth, and...Ch. 4.5 - Prob. 12DECh. 4.5 - Prob. 13DECh. 4.5 - Prob. 14DECh. 4.5 - Prob. 15DECh. 4.5 - Prob. 16DECh. 4.5 - Prob. 17DECh. 4.5 - Prob. 18DECh. 4.5 - Prob. 19DECh. 4.5 - Prob. 1RCCh. 4.5 - Prob. 2RCCh. 4.5 - Prob. 3RCCh. 4.5 - Prob. 4RCCh. 4.5 - Prob. 5RCCh. 4.5 - Prob. 6RCCh. 4.5 - Prob. 1CCCh. 4.5 - Prob. 2CCCh. 4.5 - Prob. 3CCCh. 4.5 - Prob. 4CCCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Odds. Round each answer for odd-numbered Exercises...Ch. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Odds. Round each answer for odd-numbered Exercises...Ch. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Areas of the New England States. The table below...Ch. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Prob. 71ECh. 4.5 - Prob. 72ECh. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - Prob. 89ECh. 4.5 - Prob. 90ECh. 4.5 - Prob. 91ECh. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.6 - Prob. 1SRCh. 4.6 - Prob. 2SRCh. 4.6 - Prob. 1DECh. 4.6 - Prob. 2DECh. 4.6 - Prob. 3DECh. 4.6 - Prob. 4DECh. 4.6 - Prob. 5DECh. 4.6 - Prob. 6DECh. 4.6 - Prob. 7DECh. 4.6 - Prob. 8DECh. 4.6 - Prob. 9DECh. 4.6 - Estimate each product. Do not find the actual...Ch. 4.6 - Prob. 11DECh. 4.6 - Prob. 12DECh. 4.6 - Prob. 13DECh. 4.6 - Prob. 14DECh. 4.6 - Prob. 1RCCh. 4.6 - Prob. 2RCCh. 4.6 - Prob. 3RCCh. 4.6 - Prob. 4RCCh. 4.6 - Prob. 5RCCh. 4.6 - Prob. 6RCCh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Estimate by rounding as directed. 8. 0.88 + 2.07 +...Ch. 4.6 - Prob. 9ECh. 4.6 - Prob. 10ECh. 4.6 - Prob. 11ECh. 4.6 - Prob. 12ECh. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Prob. 18ECh. 4.6 - Prob. 19ECh. 4.6 - Prob. 20ECh. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - Fence Posts. A zoo plans to construct a fence...Ch. 4.6 - Prob. 26ECh. 4.6 - Prob. 27ECh. 4.6 - Prob. 28ECh. 4.6 - Prob. 29ECh. 4.6 - Prob. 30ECh. 4.6 - Prob. 31ECh. 4.6 - Prob. 32ECh. 4.6 - Prob. 33ECh. 4.6 - Prob. 34ECh. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.7 - Prob. 1SRCh. 4.7 - Prob. 2SRCh. 4.7 - Prob. 1DECh. 4.7 - Prob. 2DECh. 4.7 - Prob. 3DECh. 4.7 - Prob. 4DECh. 4.7 - Prob. 5DECh. 4.7 - Prob. 6DECh. 4.7 - Prob. 1RCCh. 4.7 - Prob. 2RCCh. 4.7 - Prob. 3RCCh. 4.7 - Prob. 4RCCh. 4.7 - Prob. 1ECh. 4.7 - Prob. 2ECh. 4.7 - Prob. 3ECh. 4.7 - Prob. 4ECh. 4.7 - Prob. 5ECh. 4.7 - Prob. 6ECh. 4.7 - Prob. 7ECh. 4.7 - Prob. 8ECh. 4.7 - Prob. 9ECh. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - Prob. 13ECh. 4.7 - Lot A measures 250.1 ft by 302.7 ft. Lot B...Ch. 4.7 - Prob. 15ECh. 4.7 - Highway Routes. You can drive from home to work...Ch. 4.7 - Prob. 17ECh. 4.7 - Prob. 18ECh. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.7 - Prob. 22ECh. 4.7 - Pole Vault Pit. Find the area and the perimeter of...Ch. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Prob. 26ECh. 4.7 - Prob. 27ECh. 4.7 - Prob. 28ECh. 4.7 - Prob. 29ECh. 4.7 - Prob. 30ECh. 4.7 - Prob. 31ECh. 4.7 - Prob. 32ECh. 4.7 - Prob. 33ECh. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Prob. 36ECh. 4.7 - Prob. 37ECh. 4.7 - Prob. 38ECh. 4.7 - Prob. 39ECh. 4.7 - Prob. 40ECh. 4.7 - Prob. 41ECh. 4.7 - Prob. 42ECh. 4.7 - Prob. 43ECh. 4.7 - Prob. 44ECh. 4.7 - Prob. 45ECh. 4.7 - Prob. 46ECh. 4.7 - Prob. 47ECh. 4.7 - Prob. 48ECh. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Fill in each blank with the number that creates a...Ch. 4 - Prob. 5MCCh. 4 - Prob. 6MCCh. 4 - Prob. 7MCCh. 4 - Prob. 8MCCh. 4 - Prob. 9MCCh. 4 - Prob. 10MCCh. 4 - Prob. 11MCCh. 4 - Prob. 12MCCh. 4 - Prob. 13MCCh. 4 - Prob. 14MCCh. 4 - Prob. 15MCCh. 4 - Prob. 16MCCh. 4 - Prob. 17MCCh. 4 - Prob. 18MCCh. 4 - Round 28.4615 to the nearest: 19. One.Ch. 4 - Prob. 20MCCh. 4 - Prob. 21MCCh. 4 - Prob. 22MCCh. 4 - Prob. 23MCCh. 4 - Prob. 24MCCh. 4 - Prob. 25MCCh. 4 - Prob. 26MCCh. 4 - Prob. 27MCCh. 4 - Prob. 28MCCh. 4 - Prob. 29MCCh. 4 - Prob. 30MCCh. 4 - Prob. 31MCCh. 4 - Prob. 32MCCh. 4 - Prob. 33MCCh. 4 - Prob. 34MCCh. 4 - Prob. 35MCCh. 4 - Prob. 36MCCh. 4 - Prob. 37MCCh. 4 - Prob. 38MCCh. 4 - Prob. 39MCCh. 4 - Prob. 40MCCh. 4 - Prob. 41MCCh. 4 - Prob. 1VRCh. 4 - Prob. 2VRCh. 4 - Prob. 3VRCh. 4 - Prob. 4VRCh. 4 - Prob. 5VRCh. 4 - Prob. 6VRCh. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 2CRCh. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 4CRCh. 4 - Prob. 1PECh. 4 - Prob. 2PECh. 4 - Prob. 3PECh. 4 - Prob. 4PECh. 4 - Prob. 5PECh. 4 - Prob. 6PECh. 4 - Prob. 7PECh. 4 - Practice Exercise 8. Multiply: 17.6 0.01.Ch. 4 - Prob. 9PECh. 4 - Prob. 10PECh. 4 - Prob. 11PECh. 4 - Prob. 12PECh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Which number is larger? 18. 1.083, 1.041Ch. 4 - Round 17.4287 to the nearest: 19. Tenth.Ch. 4 - Round 17.4287 to the nearest: 20. Hundredth.Ch. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Estimate each of the following. [4.6a] 53. The sum...Ch. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 1TCh. 4 - Write a word name for 123.0047.Ch. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Write decimal notation. 9. 7569100Ch. 4 - Round 5.6783 to the nearest: 10. One.Ch. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Solve. 22. 4.8 y = 404.448Ch. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Find decimal notation. 26. 720Ch. 4 - Prob. 27TCh. 4 - Prob. 28TCh. 4 - Prob. 29TCh. 4 - Prob. 30TCh. 4 - Prob. 31TCh. 4 - Prob. 32TCh. 4 - Prob. 33TCh. 4 - Prob. 34TCh. 4 - Prob. 35TCh. 4 - Gas Mileage. Tina wants to estimate the gas...Ch. 4 - Prob. 37TCh. 4 - Prob. 38TCh. 4 - Prob. 39TCh. 4 - Prob. 40TCh. 4 - Prob. 41TCh. 4 - Prob. 1CURCh. 4 - Prob. 2CURCh. 4 - Prob. 3CURCh. 4 - Prob. 4CURCh. 4 - Prob. 5CURCh. 4 - Determine whether 2,053,752 is divisible by 4.Ch. 4 - Prob. 7CURCh. 4 - Prob. 8CURCh. 4 - Prob. 9CURCh. 4 - Prob. 10CURCh. 4 - Prob. 11CURCh. 4 - Prob. 12CURCh. 4 - Prob. 13CURCh. 4 - Prob. 14CURCh. 4 - Prob. 15CURCh. 4 - Prob. 16CURCh. 4 - Prob. 17CURCh. 4 - Prob. 18CURCh. 4 - Prob. 19CURCh. 4 - Prob. 20CURCh. 4 - Prob. 21CURCh. 4 - Prob. 22CURCh. 4 - Prob. 23CURCh. 4 - Prob. 24CURCh. 4 - Prob. 25CURCh. 4 - Prob. 26CURCh. 4 - Prob. 27CURCh. 4 - Prob. 28CURCh. 4 - Prob. 29CURCh. 4 - Prob. 30CURCh. 4 - Prob. 31CURCh. 4 - Prob. 32CURCh. 4 - Prob. 33CURCh. 4 - Prob. 34CURCh. 4 - Prob. 35CURCh. 4 - Prob. 36CURCh. 4 - Prob. 37CURCh. 4 - Prob. 38CURCh. 4 - Prob. 39CURCh. 4 - Prob. 40CURCh. 4 - Prob. 41CURCh. 4 - Prob. 42CURCh. 4 - Prob. 43CURCh. 4 - Prob. 44CURCh. 4 - Prob. 45CURCh. 4 - Prob. 46CURCh. 4 - Prob. 47CURCh. 4 - Prob. 48CUR
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