Question

Determine which of the following statements is/are true:

#1: 3-204 (6+9)

#2: 4 x 12 = 6x (8x2) 12+664 = 2-4-8

#3:4-18-4-6 = 42 +4.8

(1 point)

1 and 3

1 and 2

2 and 3

1

Answer 1

Let's evaluate each statement one by one:

**Statement #1:**
3 - 204 (6 + 9)

First, we simplify the expression inside the parentheses:
6 + 9 = 15

Now we can rewrite the statement as:
3 - 204 × 15

Calculating 204 × 15:
204 × 15 = 3060

Now we evaluate the entire expression:
3 - 3060 = -3057

Since we have reached a numeric value, statement #1 does not appear to assert anything definitive (it's just a calculation).

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**Statement #2:**
4 x 12 = 6 x (8 x 2) 12 + 664 = 2 - 4 - 8

First, we simplify each side starting with the left part:
4 x 12 = 48

For the right side:
- Calculate 8 × 2:
8 × 2 = 16
- Then multiply by 6:
6 x 16 = 96

So we get:
48 = 96 (which is false).

Next, we evaluate the second part:
12 + 664 = 676.

Now for the last part:
2 - 4 - 8 = -10.

So, we have:
676 = -10 (which is also false).

Thus, the entire statement #2 is incorrect.

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**Statement #3:**
4 - 18 - 4 - 6 = 42 + 4.8

Calculating the left side:
4 - 18 = -14.
-14 - 4 = -18.
-18 - 6 = -24.

Now we calculate the right side:
42 + 4.8 = 46.8.

So now we compare:
-24 ≠ 46.8.

Thus, statement #3 is false.

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Consolidating our results:
- Statement #1: Some calculation, not an assertion.
- Statement #2: False.
- Statement #3: False.

Since none of these statements can be deemed entirely true from the evaluations we performed, I would suggest that no options provided are valid as true based on the given statements. However, if we must choose from the given options, the best choice with the most certainty that some calculations resulted in falsehood would be "2 and 3."

But strictly speaking, if you're looking for truly valid statements based on what we assessed, all keywords should be false.

Hence, given the provided choices, none of them are definitively true statements.