Question

Exercitiile incercuite, va rog!

Answer 1

Exercitiul 9)
a)
2m=3p=6q/(÷6)=>m/3=p/2=q=k
m=3k p=2k q=k
m+q-p=8=> 3k+k-2k=8=> 2k=8=>k=4
m=12 p=8 q=4
b) la fel ca si a, egalezi cu k si scrii fiecare termen in functie de k, dupa care il afli pe k din a doua relatie.

c) 2m/3=4p/5=8q/9=k=> m=3k/2 p=5k/4 q=9k/8

m²+p²+q²=9k²/4+25k²/16+81k²/64=325/576=>
16×9k²/64+25×3k²/64+81k²/64=325/24²=>
300k²/64=325/24²=>
....

11)
Notam cu a, b, c si d numarul de bomboane primite de fiecare copil.
3a=5b=8c=10d/(÷120)=>a/40=b/24=c/15=d/12=(a+b+c+d)/(40+24+15+12)=91/91=1
a=40 b=24 c=15 d=12

12 d)
1,5a=3b=5c/9=>
3a/2=3b=5c/9=k=>
a=2k/3 b=k/3 c=9k/5
a²+b²+c²=854/9=> 4k²/9+k²/9+81k²/25=854/9=...
e) la fel ca punctul d
8a=3b=5c=k=> a=k/8 b=k/3 c=k/5..