Question

1) Calcule o valor de x em cada proporção:
A) x=6. 5 10

Answer 1

Caso esteja pelo app, e tenha problemas para visualizar esta resposta, experimente abrir pelo navegador https://brainly.com.br/tarefa/31454203

                                                 

$\tt a)~\sf\dfrac{x}{5}=\dfrac{6}{10}\\\sf 10x=5\cdot6\\\sf 10x=30\\\sf x=\dfrac{3\backslash\!\!\!0}{1\backslash\!\!\!0}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=3}}}}\blue{\checkmark}$

$\tt b)~\sf\dfrac{3}{x}=\dfrac{12}{24}\\\sf 12x=3\cdot24\\\sf 12x=72\\\sf x=\dfrac{72}{12}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=6}}}}\blue{\checkmark}$

$\tt c)~\sf\dfrac{5}{10}=x\\\sf x=\dfrac{5\div5}{10\div5}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{1}{2}}}}}\blue{\checkmark}$

$\tt d)~\sf\dfrac{1}{x}=\dfrac{3}{6}\\\sf3x=6\\\sf x=\dfrac{6}{3}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=2}}}}\blue{\checkmark}$

$\tt e)~\sf \dfrac{11}{x}=\dfrac{x}{11}\\\sf x\cdot x=11\cdot 11\\\sf x^2=11^2\\\sf x=\sqrt{11^{\diagdown\!\!\!\!2}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=11}}}}\blue{\checkmark}$