Question

Determine o termo desconhecido de cada proporção:
(Preciso urgente)

Answer 1

a) 8 / 32 = 2/x
8x = 32 * 2
x = 64/8
x = 8

b) 5/3 = x/21
21 * 5 = 3x
105 = 3x
x = 105/3
x = 35

c) 7/x = 3/27
7 * 27 = 3x
189 = 3x
x = 189/3
x = 63

d) x/(x+1) = 1/2
2x = 1 * (x + 1)
2 = (x + 1) / x
2 = x/x + 1/x
2 = 1 + 1/x
2x = 2
x = 2/2
x = 1

e) 5/x = 4/x+1
5 * (x + 1) = 4x
5x + 5 = 4x
5x - 4x = -5
x = -5

f) x/9 = (x - 2) / 15
15x = 9 * (x - 2)
15x = 9x - 18
15x - 9x = -18
6x = -18
x = -18/6
x = -3

g) (x +3) /3 = 20/6
6 * (x + 3) = 3 * 20
6x + 18 = 60
6x = 60 - 18
x = 42/6
x = 7

h) (x+5) / 5 = (3x - 5)/10
10 * ( x + 5) = 5 * (3x - 5)
10x + 50 = 15x - 25
15x - 10x = 50 + 25
5x = 75
x = 75/5
x = 15

i) (x+3)/4 = (x+9)/7
7 * (x + 3) = 4 * (x + 9)
7x + 21 = 4x + 36
7x - 4x = 36 - 21
3x = 15
x = 15/3
x = 5