Question

1 ) Determine o valor da variável d) 6 / 7 = w / 21 e) – 11 / 55 = 3 / x f) X + 2 / 4 = 11 - x / 2

Answer 1

Explicação passo-a-passo:

d) $\sf \dfrac{6}{7}=\dfrac{w}{21}$

$\sf 7w=6\cdot21$

$\sf 7w=126$

$\sf w=\dfrac{126}{7}$

$\sf \boxed{\sf w=18}$

e) $\sf \dfrac{-11}{55}=\dfrac{3}{x}$

$\sf -11x=165$

$\sf x=\dfrac{165}{-11}$

$\boxed{\sf x=-15}$

f) $\sf \dfrac{x+2}{4}=\dfrac{11-x}{2}$

$\sf 2\cdot(x+2)=4\cdot(11-x)$

$\sf 2x+4=44-4x$

$\sf 2x+4x=44-4$

$\sf 6x=40$

$\sf x=\dfrac{40}{6}$

$\boxed{\sf x=\dfrac{20}{3}}$