A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.

Question

Let n represent the number of notebooks that he buys.

Which inequality describes this scenario?

(1 point)
Responses

37<2n+24
37<2n+24

24n+2≥37
24 n plus 2 is greater than or equal to 37

37≥2n+24
37 is greater than or equal to 2 n plus 24

37>2n+24

Answer 1

37 > 2n + 24

Answer 2

Solve for b in the following equation: A=12(a+b)
(1 point)
Responses

b=2A+a
b is equal to 2 cap A plus A

b=12A+a
b is equal to 1 half cap A plus A

b=12A−a
b is equal to 1 half cap A minus A

b=2A−a

Answer 3

b=2A-a

Answer 4

Graph the solutions for the inequality: −3x+1≤−47
(2 points)
Responses

Graph the solutions for the inequality: −3x+1≤−47
(2 points)
Responses

Answer 5

To graph the solution for the inequality −3x+1≤−47, we first need to solve for x.

−3x+1≤−47

Subtract 1 from both sides:

−3x≤−48

Divide both sides by −3. Remember that when dividing by a negative number, the inequality sign must be flipped:

x≥16

Now, we can graph the solution.

On a number line, mark a point at 16 and shade the line to the right of 16. The line should be solid because the inequality includes x=16.

The shaded region represents all the x values that satisfy the inequality −3x+1≤−47.