Respuesta :

You have the correct sequence of reasons

Here's what the full step by step picture looks like

3.25(1.25x + 0.5) = 10.5  ................ given

4.0625x +  1.625 = 10.5  ................ distributive property

4.0625x = 8.875  ................ subtraction property of equality

x = 2.18461538461539 ....... division property of equality

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Notes:

  • The decimal value of x is approximate. Round it however you need.
  • In the third step, we subtracted 1.625 from both sides
  • In the fourth step, we divide both sides by 4.0625
evaroaliciana

Answer:

I am pretty sure that is right

Step-by-step explanation:

[tex]3.25(1.25+0.5) = 10.5[/tex]   is given

Then you distribute the [tex]3.25\\[/tex] to the [tex]1.25x[/tex] and the [tex]0.5[/tex].

[tex]3.25(1.25x)=4.06x[/tex]

[tex]3.25(0.5)=1.6[/tex]

So the new equation would be [tex]4.06x + 1.6= 10.5[/tex]

Then you would subtract [tex]1.6[/tex] from each side to get [tex]4.06x=8.9[/tex]

Finally you would divide each side by [tex]4.06[/tex] to get [tex]x= 1.93[/tex].

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