6. 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.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
(1 point)
Responses
24n+2≥37
24 n plus 2 is greater than or equal to 37
37>2n+24
37 is greater than 2 n plus 24
37<2n+24
37<2n+24
37≥2n+24
37 is greater than or equal to 2n plus 24
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.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
(1 point)
Responses
37≥2n+24
37 is greater than or equal to 2 n plus 24
24n+2≥37
24 n plus 2 is greater than or equal to 37
37>2n+24
37 is greater than 2 n plus 24
37<2n+24
37<2n+24
37≥2n+24
are you correct?
Yes, I am correct. The inequality 37≥2n+24 accurately describes the scenario where a student wants to purchase school supplies within a budget of $37.
Solve for b in the following formula: 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
b=2A−a
Graph the solution set for the inequality: −3x+1≤−47
To graph the solution set for the inequality −3x+1≤−47, we need to solve it for x.
−3x+1≤−47
−3x≤−47−1
−3x≤−48
Now, divide both sides of the inequality by -3, remembering that when dividing/multiplying by a negative number, the direction of the inequality sign flips:
x≥-48/-3
x≥16
To graph the solution set, we draw a number line and mark a closed circle at 16, indicating that x is equal to 16 or greater. Then, we shade to the right of 16 to represent that the solution set includes all values of x greater than or equal to 16.
A student claims the graph below represents the solutions to the inequality −4<x
with this graph:
What was the student's mistake?
(1 point)
Responses
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student did not make a mistake; this is the correct graph of the inequality
The student did not make a mistake; this is the correct graph of the inequality
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left