Question

Determine which of the following statements is/are true:
#1: 3 • 20 = 4(6 + 9)
#2: 4 × 12 = 6 x (8 × 2) 12 + 6• /64 = 2•4•8
#3: 4 • 18 - 4•6 = 42 + 4•8
(1 point)
• 1 and 2
2 and 3
• 1
• 1 and 3

Answer 1

Let's evaluate each statement one by one.

**Statement #1:**
\( 3 \cdot 20 = 4(6 + 9) \)
Calculating the left side:
\( 3 \cdot 20 = 60 \)

Calculating the right side:
\( 4(6 + 9) = 4 \cdot 15 = 60 \)

So, Statement #1 is **true**.

---

**Statement #2:**
\( 4 \times 12 = 6 \times (8 \times 2) \) and \( 12 + 6 \cdot /64 = 2 \cdot 4 \cdot 8 \)

Calculating the first part:
\( 4 \times 12 = 48 \)
\( 6 \times (8 \times 2) = 6 \times 16 = 96 \)

So the first part of Statement #2 is **false**.

Now the second part, \( 12 + 6 \cdot /64 = 2 \cdot 4 \cdot 8 \) is unclear due to the notation.

Assuming it was intended to be \( 12 + \frac{6}{64} \) and \( 2 \cdot 4 \cdot 8 = 64 \):
Calculating left side:
\( 12 + \frac{6}{64} = 12 + 0.09375 = 12.09375 \)
Calculating right side:
\( 64 \)

So the second part is also **false**.

Thus, Statement #2 is **false**.

---

**Statement #3:**
\( 4 \cdot 18 - 4 \cdot 6 = 42 + 4 \cdot 8 \)
Calculating the left side:
\( 4 \cdot 18 - 4 \cdot 6 = 72 - 24 = 48 \)

Calculating the right side:
\( 42 + 4 \cdot 8 = 42 + 32 = 74 \)

So, Statement #3 is **false**.

---

Combining results:
- Statement #1 is true.
- Statement #2 is false.
- Statement #3 is false.

Therefore, the correct choice is:
**• 1**