Final answer:
To find an equivalent expression to the equation 23.00x + 24.75x = 17.25x + 53.00, we combine like terms resulting in 47.75x = 17.25x + 53.00, which matches option B.
Step-by-step explanation:
Equivalent Algebraic Expression
To determine which option is equivalent to the given equation 23.00x + 24.75x = 17.25x + 53.00, we need to combine like terms and simplify the equation. First, we combine the terms with x on each side:
On the left side of the equation, 23.00x + 24.75x equals 47.75x. On the right side of the equation, 17.25x remains unchanged as there are no other x terms to combine it with. So, we have:
47.75x = 17.25x + 53.00
By looking at our options, we see that option B matches our simplified equation.