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3 years ago

1. Solve for p

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

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

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

3. Divide by the coefficient of r:

r = d/t

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

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