Answer:
2/3 inch
Step-by-step explanation:
12 divided by 8
Answer:
![Area = 27.5](https://tex.z-dn.net/?f=Area%20%3D%2027.5)
Step-by-step explanation:
Given
![J_{Area} = 440](https://tex.z-dn.net/?f=J_%7BArea%7D%20%3D%20440)
![J_{Width} = 22](https://tex.z-dn.net/?f=J_%7BWidth%7D%20%3D%2022)
![K_{Width} = 5.5](https://tex.z-dn.net/?f=K_%7BWidth%7D%20%3D%205.5)
<em>See attachment</em>
Required
Determine the area of K
First, we need to calculate the length of the rectangle J
![J_{Length} * J_{Width} = J_{Area}](https://tex.z-dn.net/?f=J_%7BLength%7D%20%2A%20J_%7BWidth%7D%20%3D%20J_%7BArea%7D)
This gives:
![J_{Length} * 22 = 440](https://tex.z-dn.net/?f=J_%7BLength%7D%20%2A%2022%20%3D%20440)
Divide both sides by 22
![\frac{J_{Length} * 22}{22} = \frac{440}{22}](https://tex.z-dn.net/?f=%5Cfrac%7BJ_%7BLength%7D%20%2A%2022%7D%7B22%7D%20%3D%20%5Cfrac%7B440%7D%7B22%7D)
![J_{Length} = 20](https://tex.z-dn.net/?f=J_%7BLength%7D%20%3D%2020)
So, the length of the rectangle J is 20.
Since both shapes are similar, then:
![J_{Length} : J_{Width} = K_{Length} : `K_{Width}](https://tex.z-dn.net/?f=J_%7BLength%7D%20%3A%20J_%7BWidth%7D%20%3D%20K_%7BLength%7D%20%3A%20%60K_%7BWidth%7D)
Substitute the known values:
![20 : 22 = K_{Length} : `5.5](https://tex.z-dn.net/?f=20%20%3A%2022%20%3D%20K_%7BLength%7D%20%3A%20%605.5)
Express as fraction:
![\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%20%7D%7B%2022%20%7D%3D%20%5Cfrac%7BK_%7BLength%7D%20%7D%7B%20%605.5%7D)
Make Length, the subject of formula
![K_{Length} = \frac{5.5 * 20}{22}](https://tex.z-dn.net/?f=K_%7BLength%7D%20%3D%20%5Cfrac%7B5.5%20%2A%2020%7D%7B22%7D)
![K_{Length} = \frac{110}{22}](https://tex.z-dn.net/?f=K_%7BLength%7D%20%3D%20%5Cfrac%7B110%7D%7B22%7D)
![K_{Length} = 5](https://tex.z-dn.net/?f=K_%7BLength%7D%20%3D%205)
The area of K is:
![Area = K_{Length} * K_{Width](https://tex.z-dn.net/?f=Area%20%3D%20K_%7BLength%7D%20%2A%20K_%7BWidth)
![Area = 5.5 * 5](https://tex.z-dn.net/?f=Area%20%3D%205.5%20%2A%205)
![Area = 27.5](https://tex.z-dn.net/?f=Area%20%3D%2027.5)
Multiply 6900 by 9 percent on a calculator to get the answer your looking for. I hope this helps
Step-by-step explanation:
<u>Step 1: Multiply both sides by x</u>
<u />![\frac{8x-3}{x}*x = 2*x](https://tex.z-dn.net/?f=%5Cfrac%7B8x-3%7D%7Bx%7D%2Ax%20%3D%202%2Ax)
![8x-3=2x](https://tex.z-dn.net/?f=8x-3%3D2x)
<u>Step 2: Subtract 2x from both sides</u>
<u />![8x-2x - 3 = 2x - 2x](https://tex.z-dn.net/?f=8x-2x%20-%203%20%3D%202x%20-%202x)
![6x - 3 = 0](https://tex.z-dn.net/?f=6x%20-%203%20%3D%200)
<u>Step 3: Add 3 to both sides</u>
<u />![6x-3+3=0+3](https://tex.z-dn.net/?f=6x-3%2B3%3D0%2B3)
![6x=3](https://tex.z-dn.net/?f=6x%3D3)
<u>Step 4: Divide both sides by 6</u>
<u />![6x/6=3/6](https://tex.z-dn.net/?f=6x%2F6%3D3%2F6)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Answer: ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)