The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
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Answer:
-16
Step-by-step explanation:
Consider the converses:
a) If two planes have no points in common, then they are parallel. (true)
b) If a point lies on the y-axis, then it has x-coordinate 0. (true)
c) If two angles have the same measure, then they are congruent. (true)
d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)
The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:
<h3>What is this congruence theorems about?</h3>
Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.
Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of AAS, HA and ASA.
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