1. solve for p
3(p + q) = p
2. solve for b, then find the value of b when a = 3
4a = 2b - 7
3. solve for r
d = rt
4. find the width of a rectangle with a perimeter of 90 and a length of 15
a. 90
b. 15
c. 45
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

the answer to the expression is 83

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°