Question

se considera proportia x/y = 5/7 Determinati următoarele rapoarte
A) y-x supra 2x
B) x supra y-x
C) 2x supra x+y
D) 2y supra x+y ​

Answer 1

Răspuns:

Explicație pas cu pas:

x/y = 5/7

x = 5y/7

a)

y - x = y - 5y/7 = 7y/7 - 5y/7 = 2y/7

2x = 10y/7

(y - x)/2x = 2y/7 : 10y/7 = 2y/7*7/10y = 1/5

b)

x/(y - x) = 5y/y : 2y/7 = 5y/7*7/2y = 5/2

c)

x + y = 5y/7 + 7y/7 = 12y/7

2x / (x + y) = 10y/7 : 12y/7 = 10y/7*7/12y = 10/12 = 5/6

d)

2y/(x + y) = 2y : 12y/7 = 2y*7/12y = 14y/12y = 14/12 = 7/6