Question

What does (d+3) represent in 4.5(d+3)=45

Answer 1

`\huge\text{Hey there!}`

`\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{(4.5d)/(4.5)= (31.5)/(4.5)}}`

`\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = (31.5)/(4.5)}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark`

`\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}`

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Answer 2

(d + 3) would be 10

Explanation:

Step 1: Distribute

`4.5(d + 3) = 45`

`(4.5 * d) + (4.5 * 3) = 45`

`4.5d + 13.5 = 45`

Step 2: Subtract 13.5 from both sides

`4.5d + 13.5 - 13.5 = 45 - 13.5`

`4.5d = 31.5`

Step 3: Divide both sides by 4.5

`(4.5d)/(4.5) = (31.5)/(4.5)`

`d = 7`

Step 4: Determine what (d+3) is

`(d + 3)`

`(7 + 3)`

`10`

Answer: (d + 3) would be 10