Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
![r=\dfrac{59.75}{800}\\\\r=0.0746](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B59.75%7D%7B800%7D%5C%5C%5C%5Cr%3D0.0746)
The answwer
20% of <span>$1,580.00 is X= 1,580 x20/ 100 = $316
</span>
the amount of his paycheck was <span> $316</span>
Yes good job you are correct
I’ll do an example you have the numbers 1,5,7,2,9 you can tell the median is 7 right? So go from the very left and the median (7) and do the same thing you do to find median. (Id recommend crossing the numbers off as you go if that makes sense! :)
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
and denote the sector area as
![A_1](https://tex.z-dn.net/?f=A_1)
.
Then
![\dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}](https://tex.z-dn.net/?f=%20%5Cdfrac%7BA_1%7D%7BA%7D%3D%20%5Cdfrac%7B%5Calpha%7D%7B2%5Cpi%7D%20)
(the ratio between area is the same as the ratio between coresponding angles).
![A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}](https://tex.z-dn.net/?f=A_1%3D%5Cdfrac%7B%5Calpha%7D%7B2%5Cpi%7D%20%5Ccdot%20A%3D%5Cdfrac%7B%5Calpha%7D%7B2%5Cpi%7D%20%5Ccdot%20%5Cpi%20r%5E2%3D%20%5Cdfrac%7Br%5E2%5Calpha%7D%7B2%7D%20)
.