5.24 Найдите х из пропорции: 1) 2,5x : 14 = 1 : 30; 2) 36 : 35 = 1 x: 1 12 7

Ответ:

1. Решим пропорцию:

\[2,5x : 14 = \frac{1}{7} : 30\]

\[\frac{2,5x}{14} = \frac{1}{7 \cdot 30}\]

\[2,5x = \frac{14}{7 \cdot 30}\]

\[2,5x = \frac{2}{30}\]

\[x = \frac{2}{30} : 2,5\]

\[x = \frac{2}{30} : \frac{5}{2}\]

\[x = \frac{2}{30} \cdot \frac{2}{5}\]

\[x = \frac{4}{150}\]

\[x = \frac{2}{75}\]

2. Решим пропорцию:

\[36 : 35 = x : \frac{1}{12}\]

\[\frac{36}{35} = \frac{x}{\frac{1}{12}}\]

\[x = \frac{36}{35} \cdot \frac{1}{12}\]

\[x = \frac{3}{35}\]

Ответ: 1) \(x = \frac{2}{75}\); 2) \(x = \frac{3}{35}\)

Ответ: 1) \(x = \frac{2}{75}\); 2) \(x = \frac{3}{35}\)