Answer:
x = -5
Step-by-step explanation:
3x=-15
Divide each side by 3
3x/3 = -15/3
x = -5
This equation isn’t factorable
Answer:
Basic fee = $14.95
1.5 dollars per quart of oil
Step-by-step explanation:
Each customer is charged a fee x (in dollars) for the oil change, plus y dollars per quart of oil used.
The oil change for the car that requires 5 quart of oil costs $22.45.
![x+5y=22.45](https://tex.z-dn.net/?f=x%2B5y%3D22.45)
![x=22.45-5y](https://tex.z-dn.net/?f=x%3D22.45-5y)
The oil change for the car that requires 7 quarts of oil costs $25.45.
![x+7y=25.45](https://tex.z-dn.net/?f=x%2B7y%3D25.45)
![x=25.45-7y](https://tex.z-dn.net/?f=x%3D25.45-7y)
Both equation having x
so make it equal and solve for y
![22.45-5y=25.45-7y](https://tex.z-dn.net/?f=22.45-5y%3D25.45-7y)
Add 7y on both sides
![22.45+2y=25.45](https://tex.z-dn.net/?f=22.45%2B2y%3D25.45)
subtract 22.45 from both sides
![2y=3\\y=1.5](https://tex.z-dn.net/?f=2y%3D3%5C%5Cy%3D1.5)
now plug in 1.5 for y and solve for x
![x=22.45-5y\\x=22.45-5(1.5)\\x=14.95\\](https://tex.z-dn.net/?f=x%3D22.45-5y%5C%5Cx%3D22.45-5%281.5%29%5C%5Cx%3D14.95%5C%5C)
Answer:
C=401.92
Step-by-step explanation:
the equation for area of a circle is A=r^2 pi so if the area of this circle is A=64^2 pi, then we can see that 64 is the radius of the circle.
(A=r^2 pi
A=64^2 pi so r=64)
So if the radius is 64, then the diameter is (because diameter is double the radius) Then we use the newfound diameter and plug into the equation for Circumference of a circle which is
C=d pi
C=128 (3.14)
so C=401.92
Hope this helps! :)
Hello!
To find the y-intercept of any given equation, we will need to substitute zero into any x-value.
y = 7/6x - 8/3 (substitute x = 0)
y = 7/6(0) - 8/3 (multiply)
y = -8/3
Since x was substituted as zero, the ordered pair should look like (0, y), where y is the y-intercept.
Therefore, the y-intercept of the given equation is (0, -8/3).