Answer:
15 cm by 12 cm.
Step-by-step explanation:
Given:
Amanda uses a rectangular canvas for a panting.
The length is
centimeters.
The width is
centimeters, and is 4/5 of the length .
Question asked:
.What are the dimensions of the canvas ?
Solution:
<u>As given that the width is </u>
of the length.
![2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\](https://tex.z-dn.net/?f=2x%2B6%3D%5Cfrac%7B4%7D%7B5%7D%20%286x-3%29%5C%5C%20%5C%5C%202x%2B6%3D%5Cfrac%7B4%7D%7B5%7D%5Ctimes6x-%5Cfrac%7B4%7D%7B5%7D%5Ctimes3%5C%5C%20%5C%5C%202x%2B6%3D%5Cfrac%7B24x%7D%7B5%7D%20-%5Cfrac%7B12%7D%7B5%7D%20%5C%5C%20%5C%5C)
Adding both sides by ![\frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D)
![2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}](https://tex.z-dn.net/?f=2x%2B6%2B%5Cfrac%7B12%7D%7B5%7D%20%3D%5Cfrac%7B24x%7D%7B5%7D%20-%5Cfrac%7B12%7D%7B5%7D%2B%5Cfrac%7B12%7D%7B5%7D%5C%5C%20%5C%5C%202x%2B%5Cfrac%7B42%7D%7B5%7D%20%3D%5Cfrac%7B24x%7D%7B5%7D)
Subtracting both sides by ![2x](https://tex.z-dn.net/?f=2x)
![2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\](https://tex.z-dn.net/?f=2x-2x%2B%5Cfrac%7B42%7D%7B5%7D%20%3D%5Cfrac%7B24x%7D%7B5%7D%20-2x%5C%5C%20%5C%5C%20%5Cfrac%7B42%7D%7B5%7D%20%3D%5Cfrac%7B24x-10x%7D%7B5%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7B42%7D%7B5%7D%20%3D%5Cfrac%7B14x%7D%7B5%7D%20%5C%5C%20%5C%5C)
By cross multiplication:-
![5\times14x=5\times42\\ \\ 70x=210\\ \\](https://tex.z-dn.net/?f=5%5Ctimes14x%3D5%5Ctimes42%5C%5C%20%5C%5C%2070x%3D210%5C%5C%20%5C%5C)
By diving both sides by 70
![x=3](https://tex.z-dn.net/?f=x%3D3)
<u>Now, substituting the value:-</u>
The length =
cm
= ![6\times3-3=18-3=15\ cm](https://tex.z-dn.net/?f=6%5Ctimes3-3%3D18-3%3D15%5C%20cm)
The width =
cm
= ![2\times3+6=6+6=12\ cm](https://tex.z-dn.net/?f=2%5Ctimes3%2B6%3D6%2B6%3D12%5C%20cm)
Thus, length and width of canvas are 15 cm and 12 cm.
The answer is A i'm positive I used my caculater
Answer:
The answer is No Solutions
Step-by-step explanation:
Since this is absolute value, we know the answer has to be positive, because distance has to be positive. We see it is negative, and that cannot be, so the answer is no solutions.
Not a lot of details, but the answer is:
b = how many miles is in the bike a thon
b x 1/10 = x
x = how many miles yoshi completer