Question

Evaluate the expression described below if the variable given is 9. Two times the difference of one-third of a number and three. A. –9 B. –3 C. 0 D. 12

Answer 1

Answer:

Option C is correct.

The answer for the given expression is 0.

Step-by-step explanation:

Given the statement: Two times the difference of one-third of a number and three. and also variable given is 9.

Let x be the variable or number.

"One-third of a number"  means $\frac{1}{3}x$

Also, "difference of one third of a number and three " means $\frac{1}{3}x-3$

Now, "Two times the difference of one-third of a number and three" means   $2 \times (\frac{1}{3} x -3)$

Then, the expression for the given statement : $2 \times (\frac{1}{3} x -3)$

Substitute the value of x =9 in above expression we have;

$2 \times (\frac{1}{3}(9) -3)$ = $2 \times (3 -3)$ = $2 \times (0)$ = 0

therefore, the answer for the given expression is, 0