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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Answer:

Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
--- angle on a straight line
Collect like terms


Divide both sides by 3

Answer:
The percentage of the markup is 82%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.
firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.
mathematically, the profit margin is selling price - cost price
From the question, the selling price is $1 while the cost price is 55 cents
The profit margin is thus $1 - 55 cents = 45 cents
We now proceed to calculate the percentage profit
mathematically, that is profit/cost price * 100%
That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%
Answer:
Step-by-step explanation:
So, according to the law of Sines, we have

In our case, we have S and R, so...

And we want to isolate R...

the angle of R is then 75.90 degrees.