Answer:
the greatest common factor of 12 and 18 is 6.
Step-by-step explanation
GCF of 18 and 32 = 2.
GCF of 21 and 84 = 21.
GCF of 36 and 100 = 4.
GCF of 12 and 48 = 12.
GCF of 18 and 35 = 1.
GCF of 18 and 63 = 9.
GCF of 48 and 56 = 8.
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:

Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:

Where:
It is the area of the base
h: It's the height
Substituting:

We add and we have:

ANswer:
Option D
Answer: 5
Step-by-step explanation:
If;
5 gallons = $12.50 / 5 = $2.50/gallon
11 gallons = $26.40 / 11 = $2.40/gallon
In conclusion, 5 gallons cost more per gallon than 11.
For this case we can model the problem as a rectangle triangle.
We have:
Length of the sides of the triangle.
We want to find:
Length of the hypotenuse.
Using the Pythagorean theorem we have:
Answer:
She is:
miles far from her starting point
<u>Part A</u>
<u />
<u>Part B</u>
The vertex of the graph will be a maximum because the leading coefficient is negative.
The x coordinate of the vertex is
.
When x=15/8,
.
So, the vertex has coordinates 
<u>Part C</u>
Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.
The graph is in the attached image.