Answer:
8, 9
Step-by-step explanation:
1/2x + 2(x + 1) = 22
1/2x + 2x + 2 = 22
1/2x + 2x = 20
5/2x = 20
5x = 40
x = 8
8, 9
4 + 18 = 22
Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4
3
3
2 = 48.
Answer:
![y=1.44](https://tex.z-dn.net/?f=y%3D1.44)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>y</u></em>
- Cross-multiply:
![4(4.5) = 12.5y](https://tex.z-dn.net/?f=4%284.5%29%20%3D%2012.5y)
- Multiply:
![18 = 12.5y](https://tex.z-dn.net/?f=18%20%3D%2012.5y)
- Isolate <em>y</em>:
![1.44 = y](https://tex.z-dn.net/?f=1.44%20%3D%20y)
- Rewrite:
![y=1.44](https://tex.z-dn.net/?f=y%3D1.44)
<u>Step 3: Check</u>
<em>Plug in y to verify it's a solution.</em>
- Substitute:
![\frac{4.5}{1.44} =\frac{12.5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4.5%7D%7B1.44%7D%20%3D%5Cfrac%7B12.5%7D%7B4%7D)
- Divide:
![3.125=3.125](https://tex.z-dn.net/?f=3.125%3D3.125)
Here, we see that 3.125 does indeed equal 3.125. ∴ y = 1.44 is a solution of the equation.