Answer:
5:6 --> 10:12
Step-by-step explanation:
A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).
tl:dr: 5 *2 = 10 so 6*2 = 12
Answer: Choice B

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Explanation:
The two rules we use are


When applying the first rule to the expression your teacher gave you, we can say that:

Then applying the second rule lets us say

Therefore,

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In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
Answer:
2044 cups
Step-by-step explanation:
number of cups left = number of cups in the watering can - number of cups remaining
convert the capacity of the watering can to cups
1 quart = 4 cups
512 x 4 = 2048
2048 - 4 = 2044