Harry earns $45 a week more than Xena. George earns $18 a week less than Xena. If Harry earns the same amount in two weeks that
George earns in three weeks, how much money does Xena earn a week?
This is Multi step equations and has to have a formula btw. Thanks. Help!!
This is Multi step equations and has to have a formula btw. Thanks. Help!!
1 answer:
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Answer:
cups of butter should be use to keep the same ratio.
Step-by-step explanation:
Given:
A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.
If you plan to use 5 cups of flour.
Now, to find the butter should be used to keep the same ratio.
So, to get the quantity of butter by using unitary method:
If, cup of flour use then butter should be =
.
So, 1 cup of flour use then butter should be = =
.
Thus, for 5 cups of flour butter should be = =
.
Therefore, cups of butter should be use to keep the same ratio.
The trick is to exploit the difference of squares formula,
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
Whatever you do to the denominator, you have to do to the numerator too. So
Expand the numerator:
So we have
But √12 = √(3•4) = 2√3, so