Dividir 2460 em partes inversamente proporcionais aos números 10,3 e 4 ?
Resposta:
Explicação passo-a-passo:
Mmc (10,3,4) = 60
10,3,4: 2
5,3,2: 2
5,3,1: 3
5,1,1: 5
1,1,1
= 2.2.3.5
= 4.15
= 60
x+y+z = 2460
1/10 ; 1/3; 1/4
(6/60; 20/60; 15/60)
(6+20+15) = 41
2460/41 = 60
x/6 = y/20 = z/15 = 60
x/6 = 60
x = 60. 6
x = 360
y/20 = 60
y = 60 x 20
y = 1200
z/15 = 60
z = 60 x 15
z = 900
Resp.: 360; 1200; 900
Copyright © 2025 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Verified answer
10,3,4/25,3,2/2
5,3,1/3
5,1,1/5
1,1,1=2.2.3.5=60
10 3 4
6+20+15=41
60
2460/41=60
60 x 6=360
60 x 20=1200
60 x 15=900
Resposta:
Explicação passo-a-passo:
Mmc (10,3,4) = 60
10,3,4: 2
5,3,2: 2
5,3,1: 3
5,1,1: 5
1,1,1
= 2.2.3.5
= 4.15
= 60
x+y+z = 2460
1/10 ; 1/3; 1/4
(6/60; 20/60; 15/60)
(6+20+15) = 41
2460/41 = 60
x/6 = y/20 = z/15 = 60
x/6 = 60
x = 60. 6
x = 360
y/20 = 60
y = 60 x 20
y = 1200
z/15 = 60
z = 60 x 15
z = 900
Resp.: 360; 1200; 900