Let's set it up like this:

Multiply both sides by



We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:

The variable

can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
Answer:
- C = 0.97m
- $1164 for 1200 miles
- 845 miles for $820
Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
<h3>Cost per mile</h3>
The cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
<h3>Equation</h3>
The equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
<h3>1200 miles</h3>
The cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
<h3>$820</h3>
The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
Answer: d. 
Step-by-step explanation:
Let the number of ounces of clay that Elisa uses to make one vase of either size denotes by 'c'
Given : To make a small vase, Elisa uses no more than 4.5 ounces of clay.
i.e. 
Also, To make a large vase, she uses at least 12 ounces of clay.
i.e. 
Then , the compound inequality represents the number of ounces of clay that Elisa uses to make one vase of either size will be :-

This answer would be acute because it equals under 45
There’s no y or z within the problem though :/ only x