Question

4. Aflati termenul necunoscut din proporţia: 0.(5) x 0,(3) 15 5 2x 7x 15 D a) 42 oloola b) D x_3,(4) 15 2 7 4x 3 4x 11 5 ; 44 31 41 c) g) 0,(1) 5 3x 28 X 0,(3) 4,5 4 d) h) 0.(3)_ x 0,(2) 5 0,3 0.4 1,35 0,3x​

Answer 1

a) 0.(5) x 0,(3) = 5/9 x 3/10 = 1/6

15 : 2x = 1 : 6

2x = 90

x = 45

b) 0,(3) = 3/10

0,(4) = 4/9

x : 15 = 3/10 : 4/9

x = 15 x 3/10 x 9/4

x = 101.25/4

x = 25.3125

c) 0,(1) = 1/9

0,(3) = 3/9 = 1/3

5 : 3x = 1 : 3

3x = 15

x = 5

d) 0.(3)_ = 3/9 + x/9 + x/90

= 1/3 + x/9 + x/90

0,(2) = 2/9

(1/3 + x/9 + x/90) x 0,2 = 0,3

0,06666...x + 0,01111...x + 0,33333... = 0,3

x = (0,3 - 0,33333...) / (0,06666... + 0,01111...)

x = 0,6

e) 0,3 x 0,(4) = 3/10 x 4/9

= 2/15

1,35 : 0,3x = 2/15

1,35 = 0,2x

x = 6.75