Answer: The radius of the new water tower is approximately 21 ft^3
Step-by-step explanation:
So we know the volume of the Water Tower is 66840 ft^3 and the new one's volume will hold 3/5 as much. so you will multiply 66840 by 3/5 to find the volume of the new one.
66840 * 3/5 = 40104 so the new water tower will hold 40104 cubic feet of water.
Now to find the radius we will use the formula v= 4/3
r^3
40104 = 4/3 *
* r^3
40104= 4.1887* r^3
r= 21
Answer:
x=31 is the required number.
Step-by-step explanation:
Let the number be represented as "x".
Then, According to the statement given, "x" exceeds by as much as 44 exceed the number, then the equation can be written as:
⇒![x-18=44-x](https://tex.z-dn.net/?f=x-18%3D44-x)
⇒![x+x=44+18](https://tex.z-dn.net/?f=x%2Bx%3D44%2B18)
⇒![2x=62](https://tex.z-dn.net/?f=2x%3D62)
⇒![x=31](https://tex.z-dn.net/?f=x%3D31)
Hence, the required number is x =31.
The answer to the question
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Let m = Malcom's maximum speed
Let r = Ravi's maximum speed
Average of their maximum speed would be represented as ![\frac{m + r}{2} = 260](https://tex.z-dn.net/?f=%20%5Cfrac%7Bm%20%2B%20r%7D%7B2%7D%20%3D%20260%20)
.
Make m the subject of the formula by subtracting r from both sides:
. Let this be equation 1.
Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as:
. This is equation 2.
Plug in (520 - r) into equation 2 to replace m:
![2(520 - r) = r + 80](https://tex.z-dn.net/?f=%202%28520%20-%20r%29%20%3D%20r%20%2B%2080%20)
![1040 - 2r = r + 80](https://tex.z-dn.net/?f=%201040%20-%202r%20%3D%20r%20%2B%2080%20)
Solve for r. Subtract 1040 from both sides:
![1040 - 2r - 1040 = r + 80 - 1040](https://tex.z-dn.net/?f=%201040%20-%202r%20-%201040%20%3D%20r%20%2B%2080%20-%201040%20)
![- 2r = r - 960](https://tex.z-dn.net/?f=%20-%202r%20%3D%20r%20-%20960%20)
Subtract r from both sides
![- 2r - r = r - 960 - r](https://tex.z-dn.net/?f=%20-%202r%20-%20r%20%3D%20r%20-%20960%20-%20r%20)
![- 3r = - 960](https://tex.z-dn.net/?f=%20-%203r%20%3D%20-%20960%20)
Divide both sides by -3
![\frac{-3r}{-3} = \frac{-960}{-3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3r%7D%7B-3%7D%20%3D%20%5Cfrac%7B-960%7D%7B-3%7D%20)
![r = 320](https://tex.z-dn.net/?f=%20r%20%3D%20320%20)
To find m, plug in the value of r into equation 1.
. =>Equation 1
![m = 520 - 320](https://tex.z-dn.net/?f=%20m%20%3D%20520%20-%20320%20)
.
Malcom's maximum speed = m = 200 km/h
Ravi's maximum speed = r = 320 km/h
Answer:
is 2
Step-by-step explanation:
is 2 why yes