Question

Identify the equation that translates from the sentence:

The sum of a number and 7, divided by -3, is 2.

(1 point)
Responses

n+7−3=2
the fraction with numerator n plus 7 and denominator negative 3 is equal to 2

n−7−3=2
the fraction with numerator n minus 7 and denominator negative 3 is equal to 2

n+7−3=2
n plus 7 over negative 3 is equal to 2

n−7−3=2

Answer 1

To translate the sentence "The sum of a number and 7, divided by -3, is 2" into an equation, we need to break it down:

1. **The sum of a number and 7** can be expressed as \( n + 7 \).
2. **Divided by -3** means that we need to divide that sum by -3, resulting in the fraction \( \frac{n + 7}{-3} \).
3. **Is 2** indicates that this fraction is equal to 2.

Putting it all together, the equation is:

\[
\frac{n + 7}{-3} = 2
\]

Among the given response options, this corresponds to:

**the fraction with numerator n plus 7 and denominator negative 3 is equal to 2**.

So, that is the correct option.