Answer:
40
Step-by-step explanation:
![\frac{35x - 2 - 93}{2} = 7x + 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B35x%20-%202%20-%2093%7D%7B2%7D%20%20%3D%207x%20%2B%205)
![\frac{35x - 95}{2 } = 7x + 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B35x%20-%2095%7D%7B2%20%7D%20%20%3D%207x%20%2B%205)
![17.5x - 47.5 = 7x + 5](https://tex.z-dn.net/?f=17.5x%20-%2047.5%20%3D%207x%20%2B%205)
![17.5x = 7x + 52.5](https://tex.z-dn.net/?f=17.5x%20%3D%207x%20%2B%2052.5)
![10.5x = 52.5](https://tex.z-dn.net/?f=10.5x%20%3D%2052.5)
![x = 5](https://tex.z-dn.net/?f=x%20%3D%205)
Plug 5 in for 7x+5.
![7(5) + 5 = 40](https://tex.z-dn.net/?f=7%285%29%20%2B%205%20%3D%2040)
Answer:
4x - 8
Step-by-step explanation:
Let x be the number
- "The product of a number and four" means 4x
- "Eight less than the product of a number and four" means 4x - 8
I hope this helps!
Answer:
Step-by-step explanation:
12.9 + 10.2x = 35.1
10.2x = 35.1 - 12.9
10.2x = 22.2
x = 22.2/10.2
x= 222/102 = 111/51
![x= 2\dfrac{9}{51}](https://tex.z-dn.net/?f=x%3D%202%5Cdfrac%7B9%7D%7B51%7D)
Given:
Volume of a sphere is
times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is
times the surface area.
![V=\dfrac{28}{3}\times A](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B28%7D%7B3%7D%5Ctimes%20A)
![\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D%5Cdfrac%7B28%7D%7B3%7D%5Ctimes%204%5Cpi%20r%5E2)
Multiply both sides by 3.
![4\pi r^3=112\pi r^2](https://tex.z-dn.net/?f=4%5Cpi%20r%5E3%3D112%5Cpi%20r%5E2)
![\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpi%20r%5E3%7D%7B%5Cpi%20r%5E2%7D%3D%5Cdfrac%7B112%7D%7B4%7D)
![r=28](https://tex.z-dn.net/?f=r%3D28)
Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:
![A=4\times \dfrac{22}{7}\times (28)^2](https://tex.z-dn.net/?f=A%3D4%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%20%2828%29%5E2)
![A=9856](https://tex.z-dn.net/?f=A%3D9856)
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
Circumference = 2*pi*radius
find the radius using this formula.
then use this formula => area of circle = pi*radius*radius
put the value of the radius that you get with the first formula to find the area
hope it helps you