Answer:
C) ![A+\frac{2}{5}B](https://tex.z-dn.net/?f=A%2B%5Cfrac%7B2%7D%7B5%7DB)
Step-by-step explanation:
Given Equations:
A) ![\frac{2}{5}x+y=12](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%2By%3D12)
B) ![\frac{5}{2}y-x=6](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7Dy-x%3D6)
In order to eliminate
we need to multiply
to equation B and add it to A.
Multiplying
to B.
⇒ ![\frac{2}{5}\times (\frac{5}{2}y-x)=\frac{2}{5}\times 6](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5Ctimes%20%28%5Cfrac%7B5%7D%7B2%7Dy-x%29%3D%5Cfrac%7B2%7D%7B5%7D%5Ctimes%206)
⇒ ![(\frac{2}{5}\times\frac{5}{2}y)-(\frac{2}{5}x)=\frac{12}{5}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B5%7D%5Ctimes%5Cfrac%7B5%7D%7B2%7Dy%29-%28%5Cfrac%7B2%7D%7B5%7Dx%29%3D%5Cfrac%7B12%7D%7B5%7D)
⇒ ![y-\frac{2}{5}x=\frac{12}{5}](https://tex.z-dn.net/?f=y-%5Cfrac%7B2%7D%7B5%7Dx%3D%5Cfrac%7B12%7D%7B5%7D)
Adding it equation A.
![\frac{2}{5}x+y=12](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%2By%3D12)
+ ![-\frac{2}{5}x+y=\frac{12}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7Dx%2By%3D%5Cfrac%7B12%7D%7B5%7D)
We get ![2y=\frac{72}{5}](https://tex.z-dn.net/?f=2y%3D%5Cfrac%7B72%7D%7B5%7D)
Thus
is eliminated.
So, the expression used to eliminate
is:
![A+\frac{2}{5}B](https://tex.z-dn.net/?f=A%2B%5Cfrac%7B2%7D%7B5%7DB)
Answer:
(2, -8)
Step-by-step explanation:
Sorry if I'm wrong
Answer:
Approximately 4.67 feet of fabric is required for one pillow case.
Step-by-step explanation:
We are given the following in the question:
Number of pillow cases to be made by Jenny = 3
Amount of fabric Jenny has = 14 feet
Each pillow case use same amount of fabric.
Amount of fabric used to make 1 pillow case =
![=\dfrac{\text{Amount of fabric}}{\text{Number of pillow cases}}\\\\=\dfrac{14\text{ feet}}{3}\\\\\approx 4.67\text{ feet}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7BAmount%20of%20fabric%7D%7D%7B%5Ctext%7BNumber%20of%20pillow%20cases%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B14%5Ctext%7B%20feet%7D%7D%7B3%7D%5C%5C%5C%5C%5Capprox%204.67%5Ctext%7B%20feet%7D)
Thus, approximately 4.67 feet of fabric is required for one pillow case.
Answer:
200
Step-by-step explanation:
basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200
I think it’s the first one