Answer:
A) 60
B) 72/300
C) 150
Step-by-step explanation:
A) P(green) = ⅕
⅕ × 300 = 60
B) purple: 72
45+37+52+94+72 = 300
Therefore, 72/300
C) 1000 × (45/300)
150
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:
Simple the area is 88
Step-by-step explanation:
Answer:
![\frac{7(a-1)}{(a+2)(a-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B7%28a-1%29%7D%7B%28a%2B2%29%28a-5%29%7D)
Step-by-step explanation:
To solve this operation we need to find the common multiple of both denominators and solve for a.
![\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Ba%2B2%7D%20%2B%20%5Cfrac%7B4%7D%7Ba-5%7D%20%3D%5Cfrac%7B3%28a-5%29%2B4%28a%2B2%29%7D%7B%28a%2B2%29%28a-5%29%7D%20%3D%5Cfrac%7B3a-15%2B4a%2B8%7D%7B%28a%2B2%29%28a-5%29%7D%20%3D%5Cfrac%7B7a-7%7D%7B%28a%2B2%29%28a-5%29%7D%20%3D%5Cfrac%7B7%28a-1%29%7D%7B%28a%2B2%29%28a-5%29%7D)
Thus, the solution is 7(a -1) / (a+2)(a-5)
Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:
![x1 * y1 = k](https://tex.z-dn.net/?f=x1%20%2A%20y1%20%3D%20k)
![12 * 15 = k](https://tex.z-dn.net/?f=12%20%2A%2015%20%3D%20k)
![k = 180](https://tex.z-dn.net/?f=k%20%3D%20180)
Now, we can use the same constant to find x2:
![x2 * y2 = k](https://tex.z-dn.net/?f=x2%20%2A%20y2%20%3D%20k)
![x2 * 3 = 180](https://tex.z-dn.net/?f=x2%20%2A%203%20%3D%20180)
![x2 = 180 / 3 = 60](https://tex.z-dn.net/?f=x2%20%3D%20180%20%2F%203%20%3D%2060)
So the value of x2 is 60.