Answer:
1.6 cups of sugar
Step-by-step explanation:
0.4 cups per batch.
4 batches.
Total sugar required = 0.4 x 4
= 1.6 cups of sugar
I'm not sure if you mean (
) or (
) I solved it both ways .
![f(x) = \sqrt{x + 7} \\ \\ f( \: g(x) \: ) = \sqrt{(8x - 11)+ 7} \\ = \sqrt{8x - 11 + 7} \\ = \sqrt{8x - 4} \\ = 2 \sqrt{2x - 1}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%20%2B%207%7D%20%20%5C%5C%20%20%5C%5C%20f%28%20%5C%3A%20g%28x%29%20%5C%3A%20%29%20%3D%20%20%5Csqrt%7B%288x%20-%2011%29%2B%207%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B8x%20-%2011%20%2B%207%7D%20%20%5C%5C%20%20%20%3D%20%20%5Csqrt%7B8x%20-%204%7D%20%20%5C%5C%20%20%3D%202%20%5Csqrt%7B2x%20-%201%7D%20)
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![f(x) = \sqrt{x} + 7 \\ \\ f( \: g(x) \: ) = \sqrt{(8x - 11)} + 7 \\ = \sqrt{8x - 11} + 7\\](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20%20%2B%207%20%5C%5C%20%20%5C%5C%20f%28%20%5C%3A%20g%28x%29%20%5C%3A%20%29%20%3D%20%20%5Csqrt%7B%288x%20-%2011%29%7D%20%20%2B%207%20%5C%5C%20%20%3D%20%20%5Csqrt%7B8x%20-%2011%7D%20%20%20%2B%207%5C%5C%20%20)
I hope I helped you^_^
Here is the solution for the given problem above:
Given: 5/8 yard of ribbon = total length of the ribbon
1/12 yard = length of the ribbon after Tom cut it equally
? = number of pieces of 1/12 yard from 5/8 yard
So to divide fractions, here is the solution
5/8 divided by 1/12
5/8 multiplied by 12/1
5x12 is 60
8x1 is 8.
So 60/8 would be 7.5. Therefore, the number of pieces that was cut from the 5/8 ribbon is 7.5. Hope this answer helps.