Answer:
Runner Up Amount=$16,000
Winner Amount=$64,000
Step-by-step explanation:
Amount of the college's scholarship=$80,000
The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.
Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.
Runner Up Amount
Winner Amount
The winner gets $64,000 and the runner up gets $16,000.
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.
3x + 3 = 2x
three times a number = 3x ,and 3 = 3x + 3, is equal to two times the number =
3x + 3 = 2x
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
1000 because 100 divide my 10 is 10 so just add a zero
