Solutions for Algebra and Trigonometry, 5th Edition by James Stewart
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Course
Algebra
Institution
Algebra
Complete Solutions Manual for Algebra and Trigonometry 5e 5th Edition by James Stewart, Lothar Redlin, Saleem Watso. Full Chapters Solutions are included - Chapter 1 to 13
P. PREREQUISITES.
Chapter Overview. P1. Modeling the Real-World with Algebra. P2. The Real Numbers. P3. Integer Exponents a...
Solutions for Algebra and Trigonometry 5th Edition Stewart
CHAPTER P PREREQUISITES 1
P.1 Modeling the Real World with Algebra 1
P.2 Real Numbers 2
P.3 Integer Exponents and Scientific Notation 7
P.4 Rational Exponents and Radicals 12
P.5 Algebraic Expressions 16
P.6 Factoring 19
P.7 Rational Expressions 24
P.8 Solving Basic Equations 31
P.9 Modeling with Equations 36
Chapter P Review 42
Chapter P Test 48
¥ FOCUS ON MODELING: Making Optimal Decisions 51
, P PREREQUISITES
P.1 MODELING THE REAL WORLD WITH ALGEBRA
1. Using this model, we find that 15 cars have W 4 15 60 wheels. To find the number of cars that have a total of
W
W wheels, we write W 4X X .If the cars in a parking lot have a total of 124 wheels, we find that there are
4
X 124
4 31 cars in the lot.
2. If each gallon of gas costs $350, then x gallons of gas costs $35x. Thus, C 35x. We find that 12 gallons of gas would
cost C 35 12 $42.
3. If x $120 and T 006x, then T 006 120 72. The sales tax is $720.
4. If x 62,000 and T 0005x, then T 0005 62,000 310. The wage tax is $310.
5. If 70, t 35, and d t, then d 70 35 245. The car has traveled 245 miles.
6. V r 2 h 32 5 45 1414 in3
N 240
7. (a) M 30 miles/gallon 8. (a) T 70 0003h 70 0003 1500 655 F
G 8
175 175 (b) 64 70 0003h 0003h 6 h 2000 ft
(b) 25 G 7 gallons
G 25
9. (a) V 95S 95 4 km3 38 km3 10. (a) P 006s 3 006 123 1037 hp
(b) 19 km3 95S S 2 km3 (b) 75 006s 3 s 3 125 so s 5 knots
11. (a) (b) We know that P 30 and we want to find d, so we solve the
Depth (ft) Pressure (lb/in2 ) equation 30 147 045d 153 045d
0 045 0 147 147 153
d 340. Thus, if the pressure is 30 lb/in2 , the depth
10 045 10 147 192 045
20 045 20 147 237 is 34 ft.
12. (a) (b) We solve the equation 40x 120,000
Population Water use (gal) 120,000
x 3000. Thus, the population is about 3000.
0 0 40
1000 40 1000 40,000
2000 40 2000 80,000
3000 40 3000 120,000
4000 40 4000 160,000
5000 40 5000 200,000
13. The number N of cents in q quarters is N 25q.
ab
14. The average A of two numbers, a and b, is A .
2
1
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