Question

Divida o número 600 em partes diretamente proporcionais 12,4,2 e 6 r inversamente proporcionais 6,2,3 e 18

Answer 1

Explicação passo-a-passo:

x/12 = y/4 = z/2 = t/6 = 600/12+4+2+6+

x/12 = y/4 = z/2 = t/6 = 600/24

x / 12 = 600/24

24x = 12 . 600

24x = 7200

x = 300

y /4 = 600/24

24y = 4 . 600

24y = 2400

y = 100

z / 2 = 600/24

24z = 2 . 600

24z = 1200

z = 50

t / 6 = 600/24

24t = 6 . 600

24t = 3600

t = 150

inversamente

k . 1/6+ k . 1/2+ k . 1/3+ k . 1/18 = 600

k . 3/18+ k . 9/18+ k . 6/18+ k . 1/18 = 600

k . 19/18 = 600

19k = 600 . 18

19k = 10800

k = 10800/19

k = 568,421052631579

6x = 568,421052631579

x = 568,421052631579/6

x = 94,7368421052632

2y = 568,421052631579

y = 568,421052631579/2

y = 284,210526315789

3z = 568,421052631579

z = 568,421052631579/3

z = 189,473684210526

18t = 568,421052631579

t = 568,421052631579/18

t = 31,5789473684211