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bogdan98nitu
Pe: 2011-05-28T07:33:11+03:00 In: In:

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1)Determinati numerele x,y,z stiind ca:

x y z
– = – = – si x+y-z=20
6 7 8 7 28
2)Pornind de la proportia – = – scrieti proportia derivata cu termeni schimbati astfel incat:
8 32
a)un termen sa fie 20
b)numaratorii sa fie multipli de 5
c)termenii unui raport sa divida la 11
a 13
3)Sa se determine numerele numerele a si b stiind ca – = – si
b 4
a)a-b=27
b)a+b=34
c)5a+2b=365

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2 raspunsuri

  1. dan
    expert (VI)

    bogdan98nitu wrote: 1)Determinati numerele x,y,z stiind ca:

    x y z
    – = – = – si x+y-z=20
    6 7 8

    \rm{daca \frac{x}{6}=\frac{y}{7}=\frac{z}{8}=k adica \{x=6k ;\\ y=7k si\\ z=8k ;
    \rm{ \Rightarrow x+y-z= ... 6k+7k-8k=20 deci k=20:5=4 \\ \rightarrow x=6*4 ; y=7*4 si z=8*4

  2. dan
    expert (VI)

    bogdan98nitu wrote: 2)Pornind de la proportia

    7 28
    – = – scrieti proportia derivata cu termeni schimbati astfel incat:
    8 32
    a)un termen sa fie 20
    b)numaratorii sa fie multipli de 5
    c)termenii unui raport sa divida la 11


    \rm{a). \frac{7}{8}=\frac{28}{32} \rightarrow \frac{7*25:10}{8*25:10}=\frac{28}{32} \Leftrightarrow \frac{17,5}{20}=\frac{28}{32}\\ b). \frac{7+8}{8}=\frac{28+32}{32} \Leftrightarrow \frac{15}{8}=\frac{60}{32} ;\\ c). \frac{7*11}{8*11}=\frac{28}{32} \Leftrightarrow \frac{77}{88}=\frac{28}{32}

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