Answer:
<em>The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9</em>
Step-by-step explanation:
<u>Fraction of Portion</u>
Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.
For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.
Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

The division can be easier performed by multiplying by the reciprocal of the denominator:


The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Let the width be w, then length = 2w - 1
Area = length times width = w(2w - 1) = 21.
Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0
Solving the quadratic equation gives that w = 3.5.
Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.
Answer:
<h2>W = 16</h2>
Step-by-step explanation:
<h3>
![\sqrt[4]{W} = 2](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7BW%7D%20%20%3D%202)
</h3>
To find W raise each of the sides of the equation to the power 4 to make W stand alone
That's
<h3>
![( { \sqrt[4]{W} })^{4} = {2}^{4}](https://tex.z-dn.net/?f=%28%20%7B%20%5Csqrt%5B4%5D%7BW%7D%20%7D%29%5E%7B4%7D%20%20%3D%20%20%7B2%7D%5E%7B4%7D%20)
</h3>
We have
W = 2⁴
We have the final answer as
<h3>W = 16</h3>
Hope this helps you
Answer:
Sarah can have the plumber work on her faucet for six (6) hours maximum
Step-by-step explanation:
Hi
As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.
Then as the plumber charges $30.75 per hour we have that
is the maximum amount of hours that Sarah can have the plumber work on her faucet.
Answer:
the same as the original equation
Step-by-step explanation:
Since they don't intersect the slope is the same