Question

Which expression is equivalent to the given expression?
-0.25 (84 - 32n) - n

A. 21-9n
B. -21-9n
C. -21+8.25n
D. -21+7n​

Answer 1

Option D

-0.25 (84 - 32n) -n

= -0.25*84 -0.25(-32n)-n

= -21 +8n-n

= -21 +7n

Answer 2

Answer:

-21 + 7n

Step-by-step explanation:

To simplify the expression -0.25 (84 - 32n) - n, we can start by distributing the -0.25 to the expression within the parenthesis:

-0.25 (84 - 32n) - n = -21 + 8n - n = -21 + 7n

Therefore, the expression is equivalent to option D: -21 + 7n.

To check our answer, we can plug in a value for n and compare the results of the original expression and our simplified expression. For example, if we let n = 3, the original expression gives:

-0.25 (84 - 32n) - n = -0.25 (84 - 32(3)) - 3 = -21.75

Using our simplified expression, we get:

-21 + 7n = -21 + 7(3) = -21 + 21 = 0

Since -21.75 and 0 are not equal, this confirms that our simplified expression is not equivalent to the original expression.

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