Question

Translate each sentence into an equation.

The sum of six and four times $d$is the same as $d$minus nine.

Short answer

The equation of the given statement is $6+4d=d-9$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ The sum of six and four times $d$is the same as $d$minus nine’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, the sum of six and four times $d$, in algebraic expression can be expressed a

$6+4d$

And the statement, the same as $d$minus nine, can be expressed as

$d-9$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$6+4d=d-9$.