25-30 points! : ) #1 solve the proportion. 13-b / 6 = 2-0.5b / 4 a. 72 b. 32 c. 40 d. 64 exlpain your answer! : ) #2 solve the proportion. x-9 / 3 = 5 / 13 a. 84/5 b. 15/13 c. 132/13 d. 24/13 explain your answer! : ) #3 solve the proportion. w+14 / 4w+6 = 3/4 a. 19/4 b. 15/28 c. 2/7 d. 8/19 explain your answer! : ) #4 solve the proportion. x-8 / 5 = 2/4 a. 5/2 b. 9/2 c. 18 d. 21/2 explain your answer! : )

(13 - b) / 6 = (2 - 0.5b) / 4
cross multiply
6(2 - 0.5b) = 4(13 - b)
12 - 3b = 52 - 4b
-3b + 4b = 52 - 12
b = 40 <==

(x - 9) / 3 = 5/13
cross multiply
13(x - 9) = 3 * 5
13x - 117 = 15
13x = 15 + 117
13x = 132
x = 132/13

(w + 14) / (4w + 6) = 3/4
cross multiply
3(4w + 6) = 4(w + 14)
12w + 18 = 4w + 56
12w - 4w = 56 - 18
8w = 38
w = 38/8 which reduces to 19/4

(x - 8) / 5 = 2/4
cross multiply
4(x - 8) = 2 * 5
4x - 32 = 10
4x = 10 + 32
4x = 42
x = 42/4 which reduces to 21/2

sorry but I am not exactly sure how to " explain " my answers

What are the following algebraic equations. you need to post those if you want the answer