Answer:
1. A
2. (6, 0.7)
3.
[tex]10.99D \leq 90.01[/tex]
and
[tex]10.99D + 9.99 \leq 100[/tex]
Step-by-step explanation:
1.
The equation to solve is:
[tex]Ax+4Ax=51+2Ax[/tex]
The variable is "x", so we take all the terms with x's and take the number to one side. Then we add up the like terms of x's and solve for x. Shown below:
[tex]Ax+4Ax=51+2Ax\\Ax+4Ax-2Ax=51\\x(A+4A-2A)=51\\x(3A)=51\\x=\frac{51}{3A}\\x=\frac{17}{A}[/tex]
x = 17/A
Correct answer is A
2.
The equation is:
[tex]10y=3x-11[/tex]
The point that would lie on the graph is the point when put, makes the equation true. So we check each point and see if the equation holds:
[tex]10y=3x-11\\10(0.5)=3(2)-11\\5\neq -5[/tex]
first point doesn't lie on the graph.
[tex]10y=3x-11\\10(1)=3(4)-11\\10 \neq 1[/tex]
second point doesn't lie on the graph.
[tex]10y=3x-11\\10(0.7)=3(6)-11\\7=7[/tex]
This point lies on the graph. So, this is the answer.
Correct answer is (6, 0.7)
3.
Let Miguel buy D DVDs. Each costing 10.99, that would make the cost:
10.99D
Shipping cost entire order is 9.99, so this would be added to DVD cost. Total cost:
10.99D + 9.99
This total cost can be NO MORE THAN 100, so this expression would be equal to or less than 100, so we can write:
[tex]10.99D + 9.99 \leq 100[/tex]
If we take 9.99 to the right side and subtract, it becomes:
[tex]10.99D \leq 90.01[/tex]
First choice is correct.
Second choice, clearly, isn't correct.
Third choice, similarly, isn't correct as well.
Fourth choice, because of "+" sign on right side (of 9.99) is also incorrect.
Fifth choice is what we initially got, so this is correct.
First and Fifth Choice is right.
