x/8 = 3(x+4)/2 which expression in the equation represents a product

Answer 1

Let's start by rewriting the equation you provided:

\[ \frac{x}{8} = \frac{3(x+4)}{2} \]

To identify which expression represents a product, we can look at the right side of the equation, where we have \(3(x + 4)\). This expression involves multiplication: \(3\) is being multiplied by \((x + 4)\). Therefore, the expression \(3(x + 4)\) represents a product.

To clarify further, if we expand that product:

\[ 3(x + 4) = 3x + 12 \]

Here, both \(3\) and \((x + 4)\) are factors of the product.

Thus, the expression in the equation that represents a product is \(3(x + 4)\).