Answer:
There are 25 students in the class.
Step-by-step explanation:
Since we know the percentage of students who want an ice cream party is 20%, and 5 students want an ice cream party, we know that:

, where S is the total amount of students. We can then solve for S:
Given equation
Multiply by S
Divide by 0.2
Therefore, there are 25 students in the class.
Answer:
175
Step-by-step explanation:
5/24 = 0.208 percentage of defective bolts
scale up to 840 bolts by finding 20.8% of defective bolts
840*20.8 = 175
H = 2f / (m+1)
[multiply by (m+1)]
h(m+1) = 2f
[divide by 2]
f = (h (m + 1)) / 2
3b / (b+2) = 12 / (b+2)
[multiply by (b+2)]
3b = 12
[divide by 3]
b = 4
3 / (6x + 1) / 2 = 8 / (x + 4) / 3
[multiply both denominators to mike one denominator]
3 / 8(6x+1) = 8 / 3(x+4)
[expand brackets]
3 / (48x + 8) = 8 / (3x + 12)
[multiply by (48x + 8)]
3 = 8(48x + 8) / (3x+12)
[multiply by (3x+12)]
3(3x +12) = 4(48x + 8)
[simplify]
9x + 36 = 192x + 32
173x = 4
x = 4 / 173
Answer:
The height of the building is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC

we have

substitute and solve for BC


Find the height of the building
The height of the building (h) is equal to

For this case we must express the number "423" in a radical way.
We have to, we can rewrite it as:

So, we have to:

By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

Answer:
