<span>First, you need to find out how much will the candle cost per volume. If a candle with a volume of 80cm^3 costs $12, the price of the candle per cm^3 would be: $12/80cm^3= $0.15/cm^3
Then the price of a candle with </span>120 cm^3 volume would be:120cm^3* $0.15/cm^3= $18
First remember that sum means to add. now think about the equation. we need to find 3 numbers that equal 159 when added together. And they are all consecutive odd numbers. so let's call the first number X. the second number would be X+2 since we have to jump over 1 even number. The third number would be X+4 since we have to jump over 2 even numbers. so now an equation to represent this would be X+(X+2)+(X+4)=159. Add like terms, and remember order of operations. if you need help getting the answers leave me a comment.
Answer:
The coordinates of point B are (6,7).
Step-by-step explanation:
Given points are
Blue = A(-4,8)
Purple = M(1,7.5)
Green = B
It is given that point M is the midpoint of point A and B.
Let coordinates of points are (a,b).
Midpoint of two points is


Coordinates of midpoint are (1,7.5).

On comparing both sides we get


Therefore, the coordinates of point B are (6,7).
Given:
The equations are


To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is

Where m is slope and b is y-intercept.
On comparing
with the slope intercept form, we get



On comparing
with the slope intercept form, we get


Since,
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
The answer is for this question is 4/5