Question

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

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for b, rearrange the equation by subtracting 12a from both sides:

A - 12a = 12(a + b) - 12a

Simplify:

A - 12a = 12a + 12b - 12a

Combine like terms:

A - 12a = 12b

Finally, divide both sides by 12 to solve for b:

(A - 12a) / 12 = b

Answer 2

Graph the solutions for the inequality: −3x+1≤−47

(2 points)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To graph the solution to the inequality −3x + 1 ≤ −47, we can start by rewriting it in slope-intercept form:

−3x + 1 ≤ −47

Subtract 1 from both sides:

−3x ≤ −48

Divide both sides by -3:

x ≥ 16

The solution to the inequality is all values of x greater than or equal to 16.

To graph this solution on a number line, we draw a closed circle at 16 and shade to the right of the circle, indicating all values greater than or equal to 16. The number line should start at 16 and extend indefinitely in the positive direction.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To solve for b, we can rearrange the equation:

A = 12(a + b)

First, distribute the 12 to both terms inside the parentheses:

A = 12a + 12b

Next, isolate the term containing b by subtracting 12a from both sides of the equation:

A - 12a = 12b

Simplifying further:

12b = A - 12a

Finally, divide both sides of the equation by 12 to solve for b:

b = (A - 12a) / 12

So, the solution for b is:

b = (A - 12a) / 12