Evaluate the expression 3 less than the quotient of x and 4 , for x=12x=12.

Answer: 00

Step-by-step solution

Step 1: Translate the verbal phrase into an algebraic expression

The phrase "quotient of xx and 44 " means xx divided by 44, which is written as x4\frac{x}{4}. Then, " 33 less than" this quotient means subtracting 33 from it, giving the expression x4−3\frac{x}{4} - 3.

Step 2: Substitute the given value of x

We are given that x=12x = 12. We substitute 1212 in place of xx into the expression x4−3\frac{x}{4} - 3.

Step 3: Calculate the final value

First, divide 1212 by 44 to get 33. Then, subtract 33 from 33, which results in 00.

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