Answer:
Answer is D
Step-by-step explanation:
X = number of dimes
y = number of quarters
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10x + 25y = 2565
y = x + 20
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put the system of linear equations into standard form
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10x + 25y = 2565
x - y = -20
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 59
y = 79
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:
brainly.com/question/18881247
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