Answer=6
Given the information, the following equation can be made, where x is equal to the number of cases she needs to buy.
160=16+24x
subtract 16 from both sides
144=24x
divide both sides by 24
6=x
She will have to buy 6 cases to have a total of 160 water bottles.
Answer:
Part 1) The constant of variation is 
part 2) The equation is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x -----> the number of square feet
y -----> the number of square yards
Three square yards are equivalent to 27 square feet
so
we have the point (27,3)
Part 1) What is the constant of variation?
The constant of variation or proportionality is equal to

substitute the values

Simplify

Part 2) What is the equation representing the direct variation?
we know that
substitute the value of k

Answer:

Step-by-step explanation:
Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:




Answer:
see below
Step-by-step explanation:
12.5x − 10.2 = 3(2.5x + 4.2) - 6
Use the distributive property to distribute the 3
12.5x − 10.2 = 7.5x + 12.6 − 6
Combine like terms
12.5x − 10.2 = 7.5x + 6.6
Add 10.2 to each side of the equation by using the addition property of equality
12.5x = 7.5x + 16.8
Subtraction 7.5x from each side of the equation by using the subtraction property of equality
5x = 16.8
Divide by 5 on each side by using the division property of equality
x = 3.36