Question

xFormula1" title="(\frac{z}{4} +30) + (\frac{z}{2} ) = 180" alt="(\frac{z}{4} +30) + (\frac{z}{2} ) = 180" align="absmiddle" class="latex-formula"> show work, please

Answer 1

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

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Check

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

  80 + 100 = 180 . . . . . true

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Alternate solution

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3