Question
Use the grouping symbols to interpret the following equation, x/8 = 3(x+4)/2. Which expression in the equation represents a product?
Answers
GPT-4o mini
To interpret the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) with grouping symbols, you can rewrite it to help identify the different parts. The expression that represents a product can be found in the term on the right side of the equation.
Breaking it down:
1. The left side of the equation is \( \frac{x}{8} \).
2. The right side is \( \frac{3(x+4)}{2} \).
- Here, \( 3(x+4) \) indicates a product since it involves multiplying \( 3 \) by the expression \( (x+4) \).
So, the part of the equation that represents a product is \( 3(x + 4) \).
In conclusion, \( 3(x + 4) \) is the expression that shows the product in this equation.
Breaking it down:
1. The left side of the equation is \( \frac{x}{8} \).
2. The right side is \( \frac{3(x+4)}{2} \).
- Here, \( 3(x+4) \) indicates a product since it involves multiplying \( 3 \) by the expression \( (x+4) \).
So, the part of the equation that represents a product is \( 3(x + 4) \).
In conclusion, \( 3(x + 4) \) is the expression that shows the product in this equation.