Cervantes Rogers
03/20/2023 · Middle School
A razão \( 9: 3 \) é equivalente à razão \( x: 5 \). Complete a equação e resolva para \( x \) :
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Step-by-step Solution
Para encontrar o valor de \( x \) na equação dada, podemos usar a propriedade das razões equivalentes.
Dadas as razões \( 9:3 \) e \( x:5 \) que são equivalentes, podemos escrever a seguinte equação:
\[
\frac{9}{3} = \frac{x}{5}
\]
Agora, vamos resolver essa equação para encontrar o valor de \( x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{9}{3}=\frac{x}{5}\)
- step1: Divide the terms:
\(3=\frac{x}{5}\)
- step2: Swap the sides:
\(\frac{x}{5}=3\)
- step3: Cross multiply:
\(x=5\times 3\)
- step4: Simplify the equation:
\(x=15\)
A solução da equação é \( x = 15 \). Portanto, a razão \( 9:3 \) é equivalente à razão \( 15:5 \).
Quick Answer
Para resolver a equação \( \frac{9}{3} = \frac{x}{5} \), obtemos \( x = 15 \).
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