Mathematics
03.02.2022 12:41
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What s the x that will make the fraction greater than or equal to 75% Please show

What's the x that will make the fraction greater than or equal to 75% Please show the thought process
1/5 = 20%
x-4/x >= 75%

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angeltmccoy1661
angeltmccoy1661
4,7(18 marks)

9514 1404 393

  x ≥ 16  or  x < 0

Step-by-step explanation:

You want ...

  (x -4)/x ≥ 3/4

  4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)

  4x -16 ≥ 3x

  x ≥ 16 . . . . . . . . . . add 16-3x

__

For x < 0, multiplying by 4x gives ...

 4(x -4) ≤ 3x

  4x -16 ≤ 3x

  x ≤ 16 . . . . . and x < 0

__

There are two sets of solutions:

  x < 0  or  x ≥ 16

deaklet
deaklet
4,8(48 marks)
Sarah had gotten $75 from every lawn she mowed. she mowed x lawns. after multiplying 75 by x, she realized she owed her mother $20.

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