2. Вычислите (7,42⋅59−(−11,48):145): 0,35.

Выполним действия по порядку:

1. $$7,42 \cdot \frac{5}{9} = \frac{742}{100} \cdot \frac{5}{9} = \frac{371}{50} \cdot \frac{5}{9} = \frac{371}{10} \cdot \frac{1}{9} = \frac{371}{90}$$
2. $$1 \frac{4}{5} = \frac{9}{5}$$
3. $$-11,48 : 1 \frac{4}{5} = -11,48 : \frac{9}{5} = -\frac{1148}{100} : \frac{9}{5} = -\frac{287}{25} : \frac{9}{5} = -\frac{287}{25} \cdot \frac{5}{9} = -\frac{287}{5} \cdot \frac{1}{9} = -\frac{287}{45}$$
4. $$\frac{371}{90} - (-\frac{287}{45}) = \frac{371}{90} + \frac{287}{45} = \frac{371}{90} + \frac{287 \cdot 2}{45 \cdot 2} = \frac{371}{90} + \frac{574}{90} = \frac{371 + 574}{90} = \frac{945}{90} = \frac{21}{2}$$
5. $$\frac{21}{2} : 0,35 = \frac{21}{2} : \frac{35}{100} = \frac{21}{2} : \frac{7}{20} = \frac{21}{2} \cdot \frac{20}{7} = \frac{3}{1} \cdot \frac{10}{1} = 30$$

Ответ: 30