Question

The second value in the quotient is the number. So what expression represents the quotient of 6 more than twice a number and the number?
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Answer 1

To represent the quotient of "6 more than twice a number" and "the number," we can define the variable for the number as \( x \).

1. Twice a number: This is represented as \( 2x \).
2. Six more than twice a number: This is represented as \( 2x + 6 \).
3. The number itself is represented as \( x \).

Now, to find the quotient of "6 more than twice a number" and "the number," we write the expression as follows:

\[
\text{Quotient} = \frac{2x + 6}{x}
\]

So the expression that represents the quotient of 6 more than twice a number and the number is:

\[
\frac{2x + 6}{x}
\]