Question

2) Considerando que os conjuntos de números são proporcionais, determine os valores de xey:
a) (x, y, 5) e (6, 8, 10)
b) (6, 15, 20) e (x, 30, y)
c) (7, x, y) e (21,27,36)
d) (12, 16, 24) e (36, X, Y)​

Answer 1

Resposta:

Explicação passo-a-passo:

a)x/6 = y/8 = 5/10

10y = 8 . 5

10y = 40

y = 40/10

y = 4

x/6 = 4/8 = 5/10

8x = 24

x = 24/8

x = 3

b)6/x = 15/30=20/y

15x = 6.30

15x = 180

x = 180/15

x = 12

12/6 = 15/30 = 20/y

15y = 20 . 30

15y = 600

y = 600/15

y = 4

c)7/21 = x/27 = y/36

x. 21 = 7 . 27

21x = 189

x = 189/21

x = 9

7/21 = 9/27 = y/36

27.y = 9 . 36

27y = 324

y = 324/27

y = 12

d)12/36 = 16/x = 24/y

12x = 16 . 36

12x = 576

x = 576/12

x = 48

x12/36 = 16/48 = 24/y

16y = 24 . 48

16y = 1152

y = 72