Решим пропорции:
1) \( x : 8 = 15 : 30 \)
\( x = \frac{15 \cdot 8}{30} \)
\( x = \frac{120}{30} \)
\( x = 4 \)
2) \( \frac{x}{7} = \frac{5}{2} \)
\( x = \frac{5 \cdot 7}{2} \)
\( x = \frac{35}{2} \)
\( x = 17.5 \)
3) \( 25 : 10 = x : 4 \)
\( x = \frac{25 \cdot 4}{10} \)
\( x = \frac{100}{10} \)
\( x = 10 \)
4) \( 64 : 2 = 128 : x \)
\( x = \frac{128 \cdot 2}{64} \)
\( x = \frac{256}{64} \)
\( x = 4 \)
5) \( \frac{18}{x} = \frac{3}{24} \)
\( x = \frac{18 \cdot 24}{3} \)
\( x = \frac{432}{3} \)
\( x = 144 \)
6) \( 1 \frac{1}{6} : x = 2 : 3 \frac{3}{7} \)
\( \frac{7}{6} : x = 2 : \frac{24}{7} \)
\( x = \frac{\frac{7}{6} \cdot \frac{24}{7}}{2} \)
\( x = \frac{\frac{24}{6}}{2} \)
\( x = \frac{4}{2} \)
\( x = 2 \)
7) \( \frac{2+x}{5} = \frac{4}{9} \)
\( 2 + x = \frac{4 \cdot 5}{9} \)
\( 2 + x = \frac{20}{9} \)
\( x = \frac{20}{9} - 2 \)
\( x = \frac{20 - 18}{9} \)
\( x = \frac{2}{9} \)
Ответ: 1) x = 4; 2) x = 17.5; 3) x = 10; 4) x = 4; 5) x = 144; 6) x = 2; 7) x = 2/9
Ты молодец! У тебя всё получится!