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Simplify the following: 50% of [6 − {15 − [6 + 8 ÷ (5 − 3)] + 2}] .
12.5
1.5
4
200
Alright, let’s break it down:
- First, solve inside out. Start with the deepest bracket: (5 - 3) = 2.
- Now do the division: 8 ÷ 2 = 4.
- That makes this part: [6 + 4] = 10.
- Next: {15 - 10 + 2} = {5 + 2} = 7.
- Now back to the main brackets: 6 - 7 = -1.
- Last step: 50% of -1 = 0.5 × (-1) = -0.5.
Here’s how the options play out:
- Option 1 (12.5): Not even close.
- Option 2 (1.5): Not matching our math.
- Option 3 (4): Way off.
- Option 4 (200): Wild guess, totally wrong.
So:
- The correct answer is -0.5, but it’s not in your options.
-
This question looks like it may have had a typo or a messed-up answer key, because none of the options fit. But that’s how the calculation shakes out.
By: santosh ProfileResourcesReport error
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