Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
Let x represent the larger number.
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0
The two numbers are (-12 and 16) or (14 and 42).
Answer:

Step-by-step explanation:
We want the equation of a line that is parallel to
which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:

Where m is the slope and (x₁, y₁) is a point.
Substitute:

Simplify:

Distribute:

Add 1 to both sides. Hence, our equation is:

Answer:
h=(c/25)-4
Step-by-step explanation:
c-100 = 25h. "/25"
(c/25)-4 = h