Respuesta :

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1:  Distribute

[tex]4.5(d + 3) = 45[/tex]

[tex](4.5 * d) + (4.5 * 3) = 45[/tex]

[tex]4.5d + 13.5 = 45[/tex]

Step 2:  Subtract 13.5 from both sides

[tex]4.5d + 13.5 - 13.5 = 45 - 13.5[/tex]

[tex]4.5d = 31.5[/tex]

Step 3:  Divide both sides by 4.5

[tex]\frac{4.5d}{4.5} = \frac{31.5}{4.5}[/tex]

[tex]d = 7[/tex]

Step 4:  Determine what (d+3) is

[tex](d + 3)[/tex]

[tex](7 + 3)[/tex]

[tex]10[/tex]

Answer: (d + 3) would be 10

[tex]\huge\text{Hey there!}[/tex]


[tex]\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}}}[/tex]

[tex]\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[/tex]


[tex]\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

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