Question

2. Determine o valor do termo representado

pela incógnita nas proporções a seguir.​

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{x}{3}=\dfrac{24}{6}$

$\sf 6x=3\cdot24$

$\sf 6x=72$

$\sf x=\dfrac{72}{6}$

$\sf \red{x=12}$

b)

$\sf \dfrac{8}{y}=\dfrac{50}{25}$

$\sf 50y=8\cdot25$

$\sf 50y=200$

$\sf y=\dfrac{200}{50}$

$\sf \red{y=4}$

c)

$\sf \dfrac{1}{4}=\dfrac{7}{z}$

$\sf z\cdot1=4\cdot7$

$\sf \red{z=28}$

d)

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

$\sf 7w=6\cdot126$

$\sf 7w=126$

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

$\sf \red{w=18}$

e)

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

$\sf -11x=55\cdot3$

$\sf -11x=165~~~\cdot(-1)$

$\sf 11x=-165$

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

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

f)

$\sf \dfrac{x+2}{4}=\dfrac{42}{14}$

$\sf 14\cdot(x+2)=4\cdot42$

$\sf 14x+28=168$

$\sf 14x=168-28$

$\sf 14x=140$

$\sf x=\dfrac{140}{14}$

$\sf \red{x=10}$