8 glasses in order to make money because if you sell each glass for $2 times that by 8 it’s $16
The equation that represents a proportional relationship is:
y = 32x
Because:
y/x = 32
So that implies that y is directly proportional to x.
Note that other equations represent a proportional relationship in some form, only that the relationship y = 32x is the only direct proportional relationship.
We can find this using the formula for arc length (where
is the radius of the circle and
is the central angle in radians):

In our problem, we are given
. This means that:

The measure of the angle is 1.5.
To find the volume of a cylinder, you use this formula:
V =


h
Plug in your numbers,
V = (3.14 *

) * 13
Exponents:
V = (3.14 * 64) * 13
Parentheses:
V = 200.96 * 13
Multiply:
V =
Given:
The system of equations:


To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert
into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get

Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.