Page 48 - Appplied Mathematics for the Petroleum and Other Industries, 5th Edition

308 ANSWER KEY

20. 8. a. 8a c. 10 , or 0.001
–3
COAL PRODUCED IN U.S. 3 d. 10 , or 0.000001
–6
2008–2018 b. –2x
e. 10 , or 1,000,000
6
850 c. x/5 2 2 6. a. 29.03 kg
MILLION SHORT TONS 750 9. 140 acres 2 2 b. 3.5825 tn f m
d. 1 – 2(a + x) = 1 – 2a –
800
4ax – 2x
c. 17.976 lb
e. a + 2ab – b
2
700
d. 165.345 lb
650
e. 2.222 oz
600
550
11. 150°F
70 71 72 73 74 75 76 77 78 79 80 10. 20 ohms 7. 26.2 lb/m
OR 12. a. A = 118.30 8. 268.56 MJ
9. a. 21.1°C
MILLION SHORT TONS 800 13. Larger part: 36 c. –18.4°F

b. h = 16.77
850

b. 51°C
c. d = 0.5092
750
d. A = 31.82
d. 365.4°R
700
e. P = 23.321
e. 612°R
650
600
11. 335,000 lb
550
70 71 72 73 74 75 76 77 78 79 80 Smaller part: 19 10. 7.52
14. 84 ft/sec 12. 12.08 ft 3
15. 57.25 mph
4. PRINCIPLES OF ALGEBRA, 16. a. Plan A: 33¢; plan B: 25¢ 13. 21,600 ft-lb
pp. 104–108 14. 279.75 kW
b. Plan A: 2,500; plan B: 15. 10 A
1. a. x = 4 3,750 16. E = 7.5 V, E = 20 V,
1
b. x = 9 c. Plan A: 12,500; plan B: E = 2.5 V 2
3
c. x = 30 26,250 17. 215.424 kPa
d. x = 20 d. Plan A: $25,000; plan B: 18. a. 570°R
e. x = 13.07 $52,500 b. 296 K
2. a. 45 e. Plan B costs $2,000 less. c. 53.7 psia
b. 66 17. °R = /5°C + 492 d. 30.7 psia
9
c. –78 e. 1,760°R
d. 54 18. w = A/l 19. 347.8°R or –112.2°F
e. 107 19. 108 tiles 20. 2.4 kW
3. 1,500 lb 20. 8 ohms
4. a. 9x – 3y 5. SOME PHYSICAL QUANTITIES
b. –x – 4y AND THEIR MEASUREMENT, 6. PRACTICAL GEOMETRY,
c. 20x – 5y – 7z pp. 143–145 pp. 182–186
d. a + 5b + 8c + 21d 1. 12.5664 mm 2
2
2
e. x + 11x y + 8xy 2 1. 6.21 mi 2. 0.3314, or 0.33 in. 2
5. a. –a – 4c 2. 79.45 m 3 3. 1,368.84 gal
b. –3b – c 3. a fundamental quantity 4. 150.8 in. 2
c. x – y –4z – 6 4. a. mi 5. 1,436.76 in. 3
2
2
2
d. 3a – 7a b + 2ab + b 3 b. lb/gal, or ppg 6. 1,034.47 bbl
2
3
3
e. 8x z + 9z + 2x – xz 2 c. ft 3 7. 18 in. 2
6. a. 7a + 2b – 4 d. m 2 8. 16.98 acres on right;
2
2
b. 2x – 3x + 12 e. lb/in. , or psi 144.63 acres on left
Petroleum Extension-The University of Texas at Austin
3
c. 3x – 12y f. g/cm , or g/cc 9. 1.2, or 1 /5 gal
1
d. 9a – 7b + 6c g. lb f 10. 23,687.11 gal
2
e. –2y + 4a 2 h. Ω 11. 563.98 gal
7. a. –5ab 2 i. ft/sec 12. a. 97.23 ft
b. 6x 5 j. rpm b. 7.57 ft
c. 24x 8 k. kWh c. 1.55 ft
3
3
d. 4x y + 8x y + 4xy 3 5. a. 10 , or 1,000 d. 11.66 mm
2 2
3
–1
5
e. –x ay + 2x a y – x ay 3 b. 10 , or 0.10 e. 4.69 in., or 4 /10 in.
4 2
7