QuestionSeven less than the quotient of $x$ and 12 equals five times $x$ . Which equation represents this? $\frac{x}{12}-7=5 x$ $7-\frac{x}{12}=5 x$ $\frac{x}{12}-7+5 x$ $7-\frac{x}{12}+5 x$

Studdy Solution

STEP 1

Assumptions1. We are given a statement that needs to be translated into a mathematical equation. . The statement is "Seven less than the quotient of a number, $x$ , and twelve is five times the number."

STEP 2

First, let's break down the statement into its mathematical components."Seven less than the quotient of a number, $x$ , and twelve" can be represented as $\frac{x}{12}-7$ .
"Five times the number" can be represented as $5x$ .

STEP 3

Now, let's put these components together to form the equation. The statement "is" can be represented as the equals sign, "=".
So, "Seven less than the quotient of a number, $x$ , and twelve is five times the number" translates to $\frac{x}{12}-7=5x$

STEP 4

Now, let's compare our equation with the given options. The correct equation that represents this situation is $\frac{x}{12}-7=x$ So, the answer is $\frac{x}{12}-7=x$ .

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