$3.6 divided by 20 ounces equals $0.18 per ounce.
Answer:
Length = 12 feet, Width = 10 feet
Step-by-step explanation:
Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.
We know that the perimeter of a rectangle is given by,
![P=2(\text {length}+\text {width})](https://tex.z-dn.net/?f=P%3D2%28%5Ctext%20%7Blength%7D%2B%5Ctext%20%7Bwidth%7D%29)
![P=2(x+y)](https://tex.z-dn.net/?f=P%3D2%28x%2By%29)
It is given that, the length of the bedroom is 2 more than the width, so,
![x=y+2](https://tex.z-dn.net/?f=x%3Dy%2B2)
Putting the values in the equation of perimeter we get,
![44=2((y+2)+y)](https://tex.z-dn.net/?f=44%3D2%28%28y%2B2%29%2By%29)
![44=2(2y+2)](https://tex.z-dn.net/?f=44%3D2%282y%2B2%29)
![\frac{44}{2}=2y+2](https://tex.z-dn.net/?f=%5Cfrac%7B44%7D%7B2%7D%3D2y%2B2)
![22=2y+2](https://tex.z-dn.net/?f=22%3D2y%2B2)
![2y=22-2](https://tex.z-dn.net/?f=2y%3D22-2)
![y=\frac{20}{2}=10](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B20%7D%7B2%7D%3D10)
Therefore, ![x=y+2=10+2=12](https://tex.z-dn.net/?f=x%3Dy%2B2%3D10%2B2%3D12)
Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.
Answer:
![x=0,y=2](https://tex.z-dn.net/?f=x%3D0%2Cy%3D2)
Step-by-step explanation:
Given equation:
Equation:1
Equation:2
Multiplying equation:2 by 2 gives:
Equation:3
Subtracting Equation:3 from Equation:1
![2x + 4y-(2x-6y) = 8-(-12)](https://tex.z-dn.net/?f=2x%20%2B%204y-%282x-6y%29%20%3D%208-%28-12%29)
The negative sign outside the bracket changes the sign inside it after opening the bracket
![2x+4y-2x+6y=8+12](https://tex.z-dn.net/?f=2x%2B4y-2x%2B6y%3D8%2B12)
![10y=20\\\\y=2](https://tex.z-dn.net/?f=10y%3D20%5C%5C%5C%5Cy%3D2)
Putting the value of 'y' in Equation:2
![x-3y=-6\\x-3(2)=-6\\x-6=-6\\x=-6+6\\x=0](https://tex.z-dn.net/?f=x-3y%3D-6%5C%5Cx-3%282%29%3D-6%5C%5Cx-6%3D-6%5C%5Cx%3D-6%2B6%5C%5Cx%3D0)
![x=0,y=2](https://tex.z-dn.net/?f=x%3D0%2Cy%3D2)
Answer:
n = 1/22
Step-by-step explanation:
[2/5 (8 + 2 · 6)] ÷ 2n = 88
2/5( 8 + 12) ÷ 2n = 88
2/5( 20) ÷ 2n = 88
8 ÷ 2n = 88
= 88
4 = 88n
n = 4/88 or 1/22