The direct variation between the total cost c and the number of gallons g of the gas may be expressed as the following,
c = kg
where k is the constant of variation. In this item, it is the cost of gasoline per gallon which is $1.89. Thus, the final variation equation is,
c = 1.89g
Answer: yes, it very creative!!!
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
We know that the volume of a cylinder is given by the formula:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).
So, let's substitute (x+8) for r and (2x+3) for h. This yields:
![V=\pi (x+8)^2(2x+3)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%28x%2B8%29%5E2%282x%2B3%29)
Let's expand.
Expand the square term first. We can use the perfect square trinomial pattern, which is:
![(a+b)^2=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2)
Here, our a is x and b is 8. So:
![V=\pi (x^2+2(x)(8)+(8)^2)(2x+3)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%28x%5E2%2B2%28x%29%288%29%2B%288%29%5E2%29%282x%2B3%29)
Simplify:
![V=\pi (x^2+16x+64)(2x+3)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%28x%5E2%2B16x%2B64%29%282x%2B3%29)
Expand further. This time, we will use the distribute property. So:
![V=\pi ((x^2+16x+64)(2x)+(x^2+16x+64)(3))](https://tex.z-dn.net/?f=V%3D%5Cpi%20%28%28x%5E2%2B16x%2B64%29%282x%29%2B%28x%5E2%2B16x%2B64%29%283%29%29)
Multiply:
![V=\pi((2x^3+32x^2+128x)+(3x^2+48x+192))](https://tex.z-dn.net/?f=V%3D%5Cpi%28%282x%5E3%2B32x%5E2%2B128x%29%2B%283x%5E2%2B48x%2B192%29%29)
Combine like terms:
![V=\pi((2x^3)+(32x^2+3x^2)+(128x+48x)+(192))](https://tex.z-dn.net/?f=V%3D%5Cpi%28%282x%5E3%29%2B%2832x%5E2%2B3x%5E2%29%2B%28128x%2B48x%29%2B%28192%29%29)
Add:
![V=\pi(2x^3+35x^2+176x+192)](https://tex.z-dn.net/?f=V%3D%5Cpi%282x%5E3%2B35x%5E2%2B176x%2B192%29)
Distribute the π:
![V=2\pi x^3+35\pi x^2+176\pi x+192\pi](https://tex.z-dn.net/?f=V%3D2%5Cpi%20x%5E3%2B35%5Cpi%20x%5E2%2B176%5Cpi%20x%2B192%5Cpi)
So, our answer is C.
And we're done!
Answer:
airport
Step-by-step explanation:
because planes fly out of airports
Answer:
32 books.
Step-by-step explanation:
What do we know?
As Olive continues this pattern, this will involve multiplication.
4 books per month and 8 months.
4*8=32 books.
So, Olive will read 32 books within 8 months.