Question

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

Answer 1

$\huge\text{Hey there!}$

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

$\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark$

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

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$

Answer 2

Answer:

(d + 3) would be 10

Step-by-step 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

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

$d = 7$

Step 4:  Determine what (d+3) is

$(d + 3)$

$(7 + 3)$

$10$

Answer: (d + 3) would be 10