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Popular Algebra >

99.99(x/(10+x))=0.825

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Solution

99.99(10+xx​)=0.825

Solution

x=60150​
+1
Decimal
x=0.08319…
Solution steps
99.99(10+xx​)=0.825
Multiply both sides by 1000
10+x99990x​=825
Multiply both sides by 10+x
99990x=825(10+x)
Expand 825(10+x):8250+825x
99990x=8250+825x
Move 825xto the left side
99165x=8250
Divide both sides by 99165
x=60150​
Verify Solutions
Find undefined (singularity) points:x=−10
Combine undefined points with solutions:
x=60150​

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Popular Examples

1/2 m= m/(2m)21​m=2mm​2/x = 8/(5x)+2x2​=5x8​+27/(x-4)= 5/(x+2)x−47​=x+25​3/(x-5)= 4/(x+5)x−53​=x+54​2/((x-1)^3)=0(x−1)32​=0

Frequently Asked Questions (FAQ)

  • What is the answer to 99.99(x/(10+x))=0.825 ?

    The answer to 99.99(x/(10+x))=0.825 is x= 50/601
  • Solve for x: 99.99(x/(10+x))=0.825

    The solution is x= 50/601

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