R34 Selected Answers and SolutionsSelected Answers and Solutions
58.14 kg = 58.14 kg · _0.4536 kg1 lb Multiply by _0.4536 kg1 lb.
= 58.14 · _0.45361 lb
Divide out common
units, leaving the
desired unit, pounds.
= 128.17 lb Simplify.
So, 58.14 kg = 128.17 lb.- 15.75 7. 5,333 ft 9. 12.7 11. 2.11 13. 3.79
- 57,607.2 17. 21.26 19. 121.28 21. 41.89
- 15.24 25. 4.96 lb 27. 435.3 m
2929 First, convert 1.5 pounds to grams in order to
compare like units.
Since 1 pound is equal to 453.6 g, multiply
by
453.6 g
_1 lb.
1.5 lb = 1.5 lb ·
453.6 g
_1 lb Multiply by
453.6 g
_1 lb.
= 1.5 ·
453.6 g
_ 1 Divide out common units, leaving the desired unit, grams.= 680.4 g Simplify.
So, 1.5 lb = 680.4 g.
Next, compare the two measures. 680.4 is greater
than 650, so the 1.5-pound box is greater than the
650-gram box.- 3 gal 33. 4 mi 35. 0.83 ft; 1.67 ft; 2.5 ft; 3.33 ft
- about 149.73 gigameters 39. 0.02 T, 1 kg, 2 lb, 891
g 41. Sample answer: When ordering lengths with
different units of measures, you must change all of
the measurements to the same unit and then order
the lengths. 43. H 45. 5.7 47. 15,840 49. 18
Pages 641–642 Lesson 11-1E
11 You can use 1 mile = 5,280 feet to convert.
607,200 ft_1 hr = 607,200 ft_1 hr · _5,280 ft1 mi Multiply by _5,280 ft1 mi.= 607,200_1 hr · _1 mi5,280 Divide out common units.
= 607,200__ 1 · 5,280 hr · 1 mi Simplify.
= 115 mi_1 hr Simplify.
The go-kart’s top speed is 115 mph.- 5 mi/h 5. 322,000 m/h 7. 2.48 L/week 9. 9.6
- 15.6 13. 1.6 15. 0.4
1717 a. You can use 1 mile = 5,280 feet, 1 hour =^
60 minutes, and 1 minute = 60 seconds.
4.4 m_
1 hr^ =^
4.4 mi_
1 hr^ ·^5,280 ft_
1 mi^ ·^_1 hr
60 min^ ·^1 min_
60 sec^Multiply by
distance and
time unit
ratios.= 4.4 1 · 5,280 ft 1 · _ 601 · _60 sec^1
Divide out
common
units.= 4.4 1 · · 5,280 1 · 60 · (^) ·^1 60 sec · 1 ft Simplify.
= 23,232 ft_3,600 sec Simplify.
= 6.453 ft_1 sec Simplify.
The speed of the housefly is about 6.45 feet per
second.
b. You can use 1 minute = 60 seconds.
38 beats_1 sec = 38 beats_1 sec · 60 sec_1 min Multiply by 60 sec1 min.
= 38 beats 1 · 1 min^60 Divide out common units.
= 38 · 1 · 60 beats1 min Simplify.
= 2,280 beats_1 min Simplify.
A dragonfly’s wings beat 2,280 times per minute.
c. You can use 1 hour = 60 minutes and 1 mile =
1.61 kilometers.
6.4 mi_1 hr = 6.4 mi_1 hr · 1.61 km_1 mi · 60 min1 hr Multiply by distance and time unit ratios.
= 6.4 1 · 1.61 km_ 1 · _60 min^1 Divide out common units.
= 6.4__ 1 · ·1.61 1 · (^) 60 min ·^1 km Simplify.
= _10.30460 min Simplify.
= 0.17 km_1 min Simplify.
A bumblebee can travel 0.17 kilometers in 1 minute.
d. You can use 1 minute = 60 seconds and
1 hour = 60 minutes.
250 beats_1 sec = 250 beats_1 sec · 60 min_1 hr · 60 sec1 min
Multiply by
distance and
time unit ratios.
= 250 beats 1 · (^) 1 hr^60 · 60 1 Divide out common units.
= 250 · 160 · · 1 60 beats (^) · 1 hr Simplify.
= 900,000 beats__1 hr Simplify.
A honeybee’s wings beat 900,000 times an hour.
- Divya should have multiplied by the
reciprocals of the unit ratios. The correct answer is
about 1.74 km/min. 21. D 23. 21.6 cm by 27.9 cm - 6 27. 0.90
Pages 646–648 Lesson 11-1F- 432 3. 5 5. 9 7. 345.6 9. 40.5 11. 4,100,000
- 213.8 yd^2 15. 1,656
1717 Use 1 square yard = 9 square feet
216 ft^2 = 216 ft^2 ·
1 yd^2
_
9 ft^2
Multiply by 1 yd
2
_9 ft 2.= 216 ·
1 yd^2
_ 9 Divide out common units, leaving the desired unit, square yards.
= 24 yd^2 Simplify.- 75,000 21. 540 23. 27,878,400 25. 6.5 27. 10.4
- 450,000 31. 0.97 33. 6,400 yd^2 35. 0.94 yd^3
- 10 cc 39. 1,296 in^2
4141 First, fi nd the number of cubic yards in a cubic
meter.
V = wh Write the formula.
= (1.1 yd)(1.1 yd)(1.1 yd) Replace , w, and h with 1.1.
= 1.331 yd^3 Simplify.
Next, convert 250,000 m^3 to cubic yards.
R01_R42_EM_SelAns_895130.indd R34 1/18/10 9:51 AM