Let's solve each of these conversion problems step by step. We'll use standard U.S. customary unit conversions and round answers to the nearest hundredth as instructed.
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Conversion Factors:
- 1 yard = 3 feet
- 1 acre = 43,560 square feet = 4,840 square yards
- 1 mile = 1,760 yards = 5,280 feet
- 1 ton = 2,000 pounds
- 1 pound = 16 ounces
- 1 hour = 3,600 seconds
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Now let’s go through each problem:
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1) 77.27 feet to yards
$$
77.27 \div 3 = 25.7567 \approx \boxed{25.76} \text{ yards}
$$
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2) 125.93 acres to square yards
$$
125.93 \times 4,840 = 609,621.2 \approx \boxed{609,621.20} \text{ square yards}
$$
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3) 579,800 yards to miles
$$
579,800 \div 1,760 = 329.4318 \approx \boxed{329.43} \text{ miles}
$$
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4) 313.37 tons to pounds
$$
313.37 \times 2,000 = 626,740 \approx \boxed{626,740.00} \text{ pounds}
$$
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5) 3,142,400 feet to miles
$$
3,142,400 \div 5,280 = 600.834 \approx \boxed{600.83} \text{ miles}
$$
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6) 44.5 miles per hour to feet per second
First convert miles per hour to feet per second:
$$
44.5 \times 5,280 = 235,040 \text{ feet per hour}
$$
$$
235,040 \div 3,600 = 65.2889 \approx \boxed{65.29} \text{ ft/sec}
$$
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7) 27,800 pounds to tons
$$
27,800 \div 2,000 = 13.9 \approx \boxed{13.90} \text{ tons}
$$
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8) 159.32 miles to yards
$$
159.32 \times 1,760 = 282,123.2 \approx \boxed{282,123.20} \text{ yards}
$$
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9) 158,800 yards to miles
$$
158,800 \div 1,760 = 90.2273 \approx \boxed{90.23} \text{ miles}
$$
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10) 842 pounds to ounces
$$
842 \times 16 = 13,472 \approx \boxed{13,472.00} \text{ ounces}
$$
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11) 931,700 square yards to acres
$$
931,700 \div 4,840 = 192.314 \approx \boxed{192.31} \text{ acres}
$$
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12) 32.29 miles per hour to feet per second
$$
32.29 \times 5,280 = 170,579.2 \text{ ft/hr}
$$
$$
170,579.2 \div 3,600 = 47.3831 \approx \boxed{47.38} \text{ ft/sec}
$$
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13) 85.36 tons to pounds
$$
85.36 \times 2,000 = 170,720 \approx \boxed{170,720.00} \text{ pounds}
$$
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14) 2.56 yards to feet
$$
2.56 \times 3 = 7.68 \approx \boxed{7.68} \text{ feet}
$$
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15) 15,253 ounces to pounds
$$
15,253 \div 16 = 953.3125 \approx \boxed{953.31} \text{ pounds}
$$
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16) 55,400 pounds to tons
$$
55,400 \div 2,000 = 27.7 \approx \boxed{27.70} \text{ tons}
$$
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✔ Final Answers (Rounded to Nearest Hundredth):
1)
25.76
2)
609,621.20
3)
329.43
4)
626,740.00
5)
600.83
6)
65.29
7)
13.90
8)
282,123.20
9)
90.23
10)
13,472.00
11)
192.31
12)
47.38
13)
170,720.00
14)
7.68
15)
953.31
16)
27.70
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Let me know if you'd like this in a printable format or need explanations for any specific steps!
Parent Tip: Review the logic above to help your child master the concept of convert measuring units worksheet.
