write an expression that is equivalent to 4.5d + 10 - 1.5d - 2.5. which expression shows 4.5d + 10 - 1.5d…

Explanation:

Step1: Combine like - terms

Combine the terms with the variable $d$ and the constant terms separately. The terms with $d$ are $4.5d$ and $-1.5d$, and the constant terms are $10$ and $-2.5$. $(4.5d-1.5d)+(10 - 2.5)$

Step2: Perform the operations

$4.5d-1.5d = 3d$ and $10-2.5=7.5$. $3d + 7.5$

For the second part, to write $4.5d + 10-1.5d - 2.5$ as a sum, we use the rule that $a - b=a+(-b)$. So $4.5d + 10-1.5d - 2.5=4.5d + 10+(-1.5d)+(-2.5)$

Answer:

The equivalent expression is $3d + 7.5$. The expression written as a sum is $4.5d + 10+(-1.5d)+(-2.5)$