Question

Determine o valor de t:
a) t\12 = 2\3
b) -4\5 = 12,7\t\2

Answer 1

$\dfrac{t}{12} = \dfrac{2}{3} \Longleftrightarrow 3t = 24 \Longleftrightarrow t = \dfrac{24}{3} \Longleftrightarrow t = 8$

$\dfrac{-4}{5} = \dfrac{12,7}{t/2} \Longleftrightarrow \dfrac{-4*t}{2} = 5 * 12,7 \Longleftrightarrow -2t = 63,5 \Longleftrightarrow t = \dfrac{63,5}{-2}$
$\Longleftrightarrow t = -31,75$

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10/12/2015
Sepauto - SSRC
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Answer 2

$a)~~ \dfrac{t}{12} = \dfrac{2}{3} \to~~ 3t=12.2\to~~3t=24\to~~ t= \dfrac{24}{3} \to~~ \boxed{t=8}$



$b)~~ \dfrac{-4}{5} = \dfrac{12,7}{ \frac{t}{2} } \to~~ - \dfrac{4t}{2} =5.12,7\to~~\dfrac{-4t}{2} =63,5\to\\\\-4t=127\to~~ t=- \frac{127}{4} \to~~ \boxed{x=-31,75}$