Question

Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship? 2 (x + one-half x) + 3 = 105 2 x + one-half x + 3 = 105 2 x + 3 = one-half x + 105 2 (x + 3) = one-half x + 105

Answer 1

The equation that models the relationship in the given problem is 2x + (1/2)x + 3 = 105.

Step-by-step explanation:

The equation that models the relationship in the given problem is 2x + (1/2)x + 3 = 105.

Here's a step-by-step explanation:

1. Let's assume the number is x.
2. The sum of the number and half the number is x + (1/2)x.
3. Twice the sum of the number and half the number is 2(x + (1/2)x).
4. Three more than twice the sum of the number and half the number is 2(x + (1/2)x) + 3.
5. Setting this equal to 105, we get the equation 2x + (1/2)x + 3 = 105.