What is 3 times blank times blank equals 12

What is 3 times blank times blank equals 12

The Correct Answer and Explanation is:

The expression “3 times blank times blank equals 12” can be interpreted as:

[
3 \times x \times y = 12
]

Where x and y are the two unknowns that need to be solved. To find the values of x and y, we can approach the equation step by step.

Step 1: Isolate the product of (x) and (y)

First, divide both sides of the equation by 3:

[
x \times y = \frac{12}{3}
]

[
x \times y = 4
]

Now, we need to find pairs of values for x and y that, when multiplied, equal 4. There are several pairs of values that satisfy this condition.

Step 2: Determine possible solutions

Some examples of pairs x and y that satisfy ( x \times y = 4 ) are:

• x = 1 and y = 4
• x = 2 and y = 2
• x = 4 and y = 1

Thus, there are multiple valid solutions for the equation. Any pair of numbers that, when multiplied, result in 4 will satisfy the equation.

Step 3: Verify solutions

Let’s verify each pair:

1. For x = 1 and y = 4:
   [
   3 \times 1 \times 4 = 12 \quad \text{(Correct solution)}
   ]
2. For x = 2 and y = 2:
   [
   3 \times 2 \times 2 = 12 \quad \text{(Correct solution)}
   ]
3. For x = 4 and y = 1:
   [
   3 \times 4 \times 1 = 12 \quad \text{(Correct solution)}
   ]

Conclusion

The correct answer is that there are multiple solutions for the blanks, and the values of x and y can be (1, 4), (2, 2), or (4, 1). Any of these pairs satisfy the equation, and the value of the product, ( 3 \times x \times y ), equals 12.8