👤

5. Determină termenii necunoscuți din șirurile de rapoarte egale:
a) x/3 = 6/y = 10/15 = 14/z;
b) 2/m = n/2,5 = p/10 = 0,5/1,25;
c) 1/1,(3) = a/2 = b/4 = 6,6/c;
d) 7/2 = 3,5/r = 10,5/s = t/0,(6).



Răspuns :

Răspuns:

1) 300

2) 159

alte nu stiu

Răspuns:

Buna!

a) x/3=6/y=10/15=14/z

x/3=6/y=14/z=2/3=k

x=3×2/3=2

y×2/3=6 =>y=6×3/2=9

z×2/3=14 => z=14×3/2=21

răspuns: (2;9;21)

b) 2/m=n/2,5=p/10=0,5/1,25

2,5=25/10=5/2

0,5/1,25=50/125=2/5

2/m=2n/5=p/10=2/5=k

m=10/2=5

n=10/10=1

p=20/5=4

răspuns:(5;1;4)

c). 1/1,(3)=a/2=b/4=6,6/c

1,(3)=(13-1)/9=12/9=4/3

6,6=66/10=33/5

3/4=a/2=b/4=33/5c

a/2=3/4 => a=6/4=3/2

b/4=3/4=> b=12/4=3

33/5c=3/4

5c×3=33×4 /:3

5c=11×4

c=44/5

d) 7/2=3,5/r=10,5/s=t/0,(6)

3,5=35/10=7/2

10,5=105/10=21/2

0,(6)=6/9=2/3

7/2r=21/2s=3t/2=7/2 /×2

7/r=21/s=3t=7

r=1

s=1/3

t=7/3