Answer:
x=9/2
Step-by-step explanation:
First distribute 2
2x-4-5=3-2x+6
Add the like terms on the left side -4-5=-9
2x-9=3-2x+6
Do this with the right side 3+6=9
2x-9=-2x+9
Add 9 from the left side to the right side
2x=-2x+18
Then add 2x from the right side to the left side
4x=18
Divide 4 from both sides
x=18/4 or 9/2
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.
Answer: alternate interior angles
Step-by-step explanation:
Got it Right on the test. :)
125 = 5 * 5 * 5 = 5^3
Its a perfect cube.
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