Answer:
2x^2-18x
Step-by-step explanation:
Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
![A=\pi(3)^2=9\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%283%29%5E2%3D9%5Cpi)
For the pizza of 12 inch
![A=\pi(6)^2=36\pi](https://tex.z-dn.net/?f=A%3D%5Cpi%286%29%5E2%3D36%5Cpi)
Number calories in a 6-inch pizza = 640 calories, therefore:
![\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}](https://tex.z-dn.net/?f=%5Cfrac%7BA_%7B6%5Ctext%7B%20inch%7D%7D%7D%7BA_%7B12%5Ctext%7B%20inch%7D%7D%7D%3D%5Cfrac%7B640%7D%7Bx%7D)
Substitute:
![\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B9%5Cpi%7D%7B36%5Cpi%7D%3D%5Cfrac%7B640%7D%7Bx%7D%20%5C%5C%20Simplify%20%5C%5C%20%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B640%7D%7Bx%7D%20%5Cend%7Bgathered%7D)
And solve for x:
![\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201%5Ccdot%20x%3D4%5Ccdot640%20%5C%5C%20x%3D2560%20%5Cend%7Bgathered%7D)
Now, Estimate the number of calories in one slice of a 12 inch pizza:
![\frac{2560}{8}=320](https://tex.z-dn.net/?f=%5Cfrac%7B2560%7D%7B8%7D%3D320)
Answer: 320 calories
The answer to the question is A
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8