The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4
Answer:
John gave Fred $48
Step-by-step explanation:
Let
x be the amount of dollars John gave fred
y1 be the amount of dollars Fred has at the end
y2 be the amount of dollars John has at the end
Fred has
y1 = - $12 + x
John has
y2 = $84 - x
y1 = y2
- $12 + x = $84 - x
2*x = $96
x = $48
Lets say the number = x
Six times a number is decreased by 9, the result is 3
6 times x is decreased by 9, the result is 3
(decreased means to subtract and results means equals)
6x - 9 = 3 (add 9 to each side)
<u> +9 +9</u>
6x = 3 + 9
6x = 12 (divide each side by 6)
6x/6 = 12/6
x = 2
The number is 2
<h3>
Answer: Choice D) 14/23 > 5/9</h3>
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Convert each fraction shown to decimal form
- 5/9 = 0.55555
- 7/16 = 0.43750
- 8/15 = 0.53333
- 6/11 = 0.54545
- 14/23 = 0.60870
With the exception of 7/16 = 0.43750, the other decimal values are approximate.
From that list, we can see the decimal representations of 7/16, 8/15, and 6/11 are all smaller than the decimal version of 5/9. So we rule out choices A, B, and C. The answer must be choice D.
Sure enough, 14/23 = 0.60870 is indeed larger than 5/9 = 0.55555
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We can show this another way:
First off, assume that 14/23 and 5/9 are equal. We'll cross multiply and show a contradiction happens
14/23 = 5/9
14*9 = 23*5
126 = 115
The contradiction happens since we should get the same value on both sides if the two sides were equal, but they're not equal.
If we replace each equal sign with a greater than sign, then we get,
14/23 > 5/9
14*9 > 23*5
126 > 115
You can think of it like working backwards up the chain.
