Question

1. Solve for p

Answer 1

Answer:

$1. \quad p=\dfrac{-3q}{2}\\\\2. \quad b=\dfrac{4a+7}{2}, b=\dfrac{19}{2}\\\\3. \quad r=\dfrac{d}{t}\\\\4. \quad \text{D. 30}$

Step-by-step explanation:

1. Subtract p:

  3p +3q -p = 0

  2p +3q = 0 . . . . collect terms

  2p = -3q . . . . . . subtract 3q

  p = -3q/2 . . . . . . divide by the coefficient of p

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2. Add 7 and divide by the coefficient of b:

  4a +7 = 2b

  (4a +7)/2 = b

Substitute for a to find the value of b.

  (4(3) +7)/2 = b = 19/2

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3. Divide by the coefficient of r:

  r = d/t

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4. The sum of length and width is half the perimeter:

  15 + w = 90/2 = 45

  w = 30 . . . . . . . subtract the length; the width is 30 units