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
Answer: $2.90/cup
Step-by-step explanation:
1 pint = 2 cups
2 cups = $5.80
--> $5.80/2 = $2.90/cup
Answer:
<u>XZ is longer than XY</u>
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
<u>XZ is longer than XY</u>
Hello Anna,
(a)
1.25 per ticket
? number of rides (x)
43.75 total cost (y)
Admission (z)
(b) Linear Equation - 1.25x + z = y
(c) Well you need to calculate the totaly number of rides that person took and add that to the admission cost.
It’s the first answer choice... the translation was 5 units to the right (horizontal movement so it affects the x) and it’s to the right (which makes it a positive 5). It didn’t move up or down so the y stays the same
Hope it helps