Answer:
120 liters of 60% alcohol solution is needed
Step-by-step explanation:
Let's assume
x liters of 60% alcohol solution is added
so, we get solution as


we are given
40 liters of a 20% alcohol solution is



so, total alcohol solution is

now, we can find total solutions
total solutions is

now, it is making 50% solution
so, we get

now, we can solve for x




So,
120 liters of 60% alcohol solution is needed
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.

...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get



Putting k=105 in (i), we get

Therefore, the required equation is
.
Answer:
V=706.85
Step-by-step explanation:
Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.
Formula: V= 

h ---> V= 
(
)(27)
And put the plugged in formula in your calculator and you'll find the answer!
V=706.85
I hope this helped.
If you are looking for the area of that, the answer would be 49 meters squared since in area, it is always length times width. 7x7=49. that answer would be 49 meters squared
Answer:
11 inches
Step-by-step explanation:
Take the square root and add 3.
(x -3)² = 64
x -3 = √64 = 8
x = 8 +3 = 11
The original photo was 11 inches on a side.