Question

(2,385-846)
--------------
4 Which of the following is true about the expression above? A. The given expression is 4 times the value of (2,385 − 846). B. The given expression is 4 divided by the value of (2,385 − 846). C. The given expression is one-fourth the value of (2,385 − 846). D. The given expression is 4 less than the value of (2,385 − 846).

Answer 1

To analyze the expression given:

\[
\frac{(2,385 - 846)}{4}
\]

we first evaluate \( (2,385 - 846) \).

Calculating this:

\[
2,385 - 846 = 1,539
\]

Next, we substitute this value back into the expression:

\[
\frac{(1,539)}{4}
\]

Now, let's simplify this:

\[
\frac{1,539}{4} = 384.75
\]

Now, let’s analyze the answer choices:

A. The given expression is 4 times the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not equal to \( 4 \times (2,385 - 846) \).

B. The given expression is 4 divided by the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not \( \frac{4}{(2,385 - 846)} \).

C. The given expression is one-fourth the value of \( (2,385 − 846) \).
This is true, since \( \frac{(2,385 - 846)}{4} \) is indeed one-fourth of \( (2,385 - 846) \).

D. The given expression is 4 less than the value of \( (2,385 − 846) \).
This is false because \( \frac{(2,385 - 846)}{4} \) is not \( (2,385 - 846) - 4 \).

The correct result is **C**: The given expression is one-fourth the value of \( (2,385 − 846) \).