9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
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<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
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<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
- - = + 9-(-4)= 9+4 so minus minus becomes plus. and 13 is the answer.
Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
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18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
77.5d + .14m
m = 425
.14 * 425 = 59.5
77.5d + 59.5 ≤ 230
77.5d ≤ 170.5
d ≤ 170.5/77.5
d ≤ 2.2
if they only take payment for whole days, he has 2 whole days