Question

Atividade de Matemática. Eles são diretamente proporcional .
Determine os valores de x e y​

Answer 1

Resposta:

São grandezas diretamente proporcionais.

a)

$\large \: \frac{8}{y} = \frac{x}{10} = \frac{4}{5} \\ \\ \frac{8}{y} = \frac{4}{5} \\ \\ 4y = 40 \\ \\ y = \frac{40}{4} \\ \\ \Large\boxed{ \green{y = 10}} \\ \\ \frac{x}{10} = \frac{4}{5} \\ \\ 5x = 40 \\ \\ x = \frac{40}{5} \\ \\ \Large \boxed{ \green{x = 8}}$

b)

$\large \frac{7}{2} = \frac{14}{x} = \frac{28}{y} \\ \\ \large \frac{7}{2} = \frac{14}{x} \\ \\ 7x = 28 \\ \\ \Large \: \boxed{ \green{x = 14}} \\ \\ \frac{7}{2} = \frac{28}{y} \\ \\ 7y = 56 \\ \\ \Large \: \boxed{ \green{y = 8}}$

c)

$\large \: \frac{6}{x} = \frac{2}{5} = \frac{y}{20} \\ \\ \Large \: \frac{6}{x} = \frac{2}{5} \\ \\ 2x = 30 \\ \\ x = \frac{30}{2} \\ \\ \Large \boxed{ \green{x = 15}} \\ \\ \frac{2}{5} = \frac{y}{20} \\ \\ 5y = 40 \\ \\ y = \frac{40}{5} \\ \\ \Large \boxed{ \green{ y = 8}}$

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