A linear inequality to represent the algebraic expression is given as 492.46 - x ≥ 500
<h3>Linear Inequality</h3>
Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.
In this problem, her minimum balance must not decrease beyond $500 or she will pay a fee.
where
The inequality to represent this can be written as
524.96 - 32.50 - x ≥ 500
Simplifying this;
492.46 - x ≥ 500
The linear inequality is 492.46 - x ≥ 500
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Answer:

Step-by-step explanation:
The formula of the circumference of a circle is
.
The length of an arch can be found by using the ratio of circumference to the arc.
First, find the circumference of the circle:

Then you find the ratio:
The length of the arc is 90/360, which is 1/4, of the circumference.
Finally, find the length of the arc:
or 
I hope this helps :)
Answer:
She can fill 9 containers
Step-by-step explanation:
you do 6 3/4 dived by 3/4 and you get 9
Answer:
The first table.
Step-by-step explanation:
A slope of 0 means that as x increases, y stays the same. In the first table, all of our y-values are 2; this means that y stays constant.
To prove it, we use our formula for slope:

The slope of the line between the first two points is
(2-2)/(-3--1) = 0/-2 = 0
The slope of the line between the second pair of points is
(2-2)/(-1-1) = 0/-2 = 0
The slope of the line between the next pair of points is
(2-2)/(1-3) = 0/-2 = 0
Since the slope between each pair of points is 0, the slope of the entire line is 0.