Question

Evaluate the following expression.

\[\dfrac{-112}{7 + 9}\]

Answer 1

[AI-generated answer — Bot GPT 3.5]

We start by simplifying the denominator $7+9=16$. We then get \[

\dfrac{-112}{7+9} = \dfrac{-112}{16}.
\] To divide by 16, we multiply by $\frac{1}{16}$. This gives \[
\dfrac{-112}{16} = -112 \cdot \dfrac{1}{16} = \boxed{-\dfrac{7}{2}}.
\]

Answer 2

are yu sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for any confusion. You are right, my previous response contains an error. The correct evaluation of the expression is as follows:

\[\dfrac{-112}{7+9} = \dfrac{-112}{16} = \boxed{-7}.\]

Thank you for catching that mistake.

Answer 4

[AI-generated answer — Explain Bot]

To evaluate the expression \(\dfrac{-112}{7 + 9}\), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, simplify the expression inside the parentheses:

\[7 + 9 = 16\]

Now we have:

\[\dfrac{-112}{16}\]

Next, perform the division:

\[-112 \div 16 = -7\]

Therefore, the value of the expression \(\dfrac{-112}{7 + 9}\) is \(-7\).

Here's the step-by-step breakdown:

1. Simplify the expression inside the parentheses: \(7 + 9 = 16\).
2. Rewrite the expression with the simplified value: \(\dfrac{-112}{16}\).
3. Perform the division: \(-112 \div 16 = -7\).
4. The final result is \(-7\).