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Magarus4face
a fost răspuns

Daca x supra y = 5 supra 4 , atunci calculati valoarea raportului 5x+2y supra 2x-y

Răspuns :

Cocirmariadenis

Răspuns:   11/2

Explicație pas cu pas:

x/y = 5/4 ⇒  4 x = 5 y ⇒ x/5 = y/4 = k → coeficient de proportionalitate

⇒  x = 5 k si y = 4 k

__________________

( 5 x + 2 y ) / ( 2 x - y ) = 11/2

= ( 5×5k + 2×4k) / ( 2×5k - 4k ) =

= (25k + 8k ) / ( 10 k - 4k) =

= 33 k /6k =

= 33/6 =

= (33:3)/(6:3) =

= 11/2

Rayzen

[tex]\dfrac{x}{y} = \dfrac{5}{4} \\ \\ \\ \dfrac{5x+2y}{2x-y}^{(y} = \dfrac{5\cdot \dfrac{x}{y}+2}{2\cdot \dfrac{x}{y}-1} = \dfrac{^{4)}\,\,5\cdot \dfrac{5}{4}+2}{\,\,\,\,\,\,\,2\cdot \dfrac{5}{4}-1}= \\ \\\\ = \dfrac{5\cdot 5+2\cdot 4}{2\cdot 5-4} = \dfrac{33}{6} = \boxed{\dfrac{11}{2}}[/tex]

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