The answer is 18 dollars. If you subtract the $7 he earned, not originally part of his allowance, you get 9. Multiply by 2 because he spent half on the movies and you get 18.
First, let's ignore the answer choices and solve for a value of x ourselves.
2(8 - x) < 4
Distributive property.
16 - 2x < 4
Subtract 16 from both sides.
-2x < -12
Divide both sides by -2 (and flip the inequality sign)
x > 6
The value of x is going to be greater than 6, and so, we can observe the answer choices, and whichever value is greater than 6, is the correct answer.
<h3>In this case, there is only one answer, and that is D, x = 10.</h3>
Answer:

Step-by-step explanation:
To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:


You can now set them equal to each other:

Add 4 to both sides:

Multiply both sides by 2:

Multiply both sides by 5:

Subtract 5x from both sides:

Divide both sides by -13:


Hope this helps!
I think they should keep it around, even if it might not be the most efficient strategy. After all, what if you need to solve a problem using multiple strategies?