apurbanashim apurbanashim
  • 20-11-2021
  • Mathematics
contestada

x+4/5x=180 plz show work

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StudyAccounts
StudyAccounts StudyAccounts
  • 20-11-2021

Answer:

The answer is 100.

Step-by-step explanation:

I started with solving 4 divided by 5. It was 0.8. I then started going thru 1 to 10 to 20 to 50 to 100. I was comparing big numbers. I then realized 100+0.8 times 100 = 180!

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Paounn
Paounn Paounn
  • 20-11-2021

Answer: [tex]x=100[/tex]

If the equation is [tex]x+\frac45 x = 180[/tex] we add on the LHS: [tex]x(1+\frac45) = 180 \rightarrow x(\frac55+\frac45)= 180\\\frac95 x = 180[/tex]

At this point we divide both sides by 9 and multiply by 5:

[tex]x=\frac 59 (180) = \frac59 (2\times 9 \times 10) = 100[/tex]

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