which of the following expression represents the statement below?

Question

eleven times the quotient of a number and 3 minus 15

Answer 1

To represent the statement "eleven times the quotient of a number and 3 minus 15" as a mathematical expression, let's break it down:

1. Quotient of a number and 3: Let the number be represented by \( x \). The quotient of \( x \) and 3 is \( \frac{x}{3} \).

2. Eleven times the quotient: This is \( 11 \times \frac{x}{3} \), which can be written as \( \frac{11x}{3} \).

3. Minus 15: Finally, subtract 15 from the previous expression.

Putting it all together, the expression becomes:

\[ \frac{11x}{3} - 15 \]

So, the expression that represents the statement is \( \frac{11x}{3} - 15 \).