Which expression is equivalent to (n ÷ 14) + 11?ResponsesA 14 ÷ (n + 11)14 ÷ ( n + 11)B n ÷ (14 + 11)n  ÷ (14 + 11)C 11 + (n ÷ 14)11 + ( n ÷ 14)D (14 ÷ n) + 11

To determine which expression is equivalent to $(n \div 14) + 11$, we can analyze each of the provided responses.

Step 1: Breakdown the Original Expression

The original expression is: $(n \div 14) + 11$

Step 2: Evaluate Each Response

1. Response A: $14 \div (n + 11)$
   This expression is not equivalent to the original as it alters the order of the operations and the values involved.

2. Response B: $n \div (14 + 11) = n \div 25$
   This is also not equivalent since it changes the division from dividing $n$ by $14$ to dividing $n$ by $25$.

3. Response C: $11 + (n \div 14)$
   This expression is equivalent to the original expression because addition is commutative, meaning $a + b = b + a$.

4. Response D: $(14 \div n) + 11$
   This changes the division to the reverse operation and is not equivalent to the original expression.

Step 3: Conclusions

The only expression that is equivalent to $(n \div 14) + 11$ is: Response C: $11 + (n \div 14)$

Final Answer

Response C: $11 + (n \div 14)$ is equivalent to $(n \div 14) + 11$.