Решебник по алгебре 8 класс Макарычев ФГОС Задание 182

\[\boxed{\text{182\ (182).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y = \frac{10}{x}\]

\[x = 100:\ \ \ \ \ \ \]

\[y = \frac{10}{100} = 0,1.\]

\[x = 1000:\text{\ \ \ }\]

\[y = \frac{10}{1000} = 0,01.\]

\[x = 0,1:\text{\ \ \ \ \ \ }\]

\[\ y = \frac{10}{0,1} = 100.\]

\[x = 0,02:\text{\ \ \ \ \ }\]

\[y = \frac{10}{0,02} = \frac{1000}{2} = 500.\]

\[\frac{10}{- 0,05} = \frac{1000}{- 5} = - 200\]

\[принадлежит.\]

\[\frac{10}{- 0,1} = \frac{100}{- 1} = - 100 \neq 100\]

\[не\ принадлежит.\]

\[\frac{10}{400} = \frac{1 \cdot 25}{40 \cdot 25} = \frac{25}{1000} = 0,025\]

\[принадлежит.\]

\[\frac{10}{500} = \frac{1 \cdot 2}{50 \cdot 2} = \frac{2}{100} =\]

\[= 0,02 \neq - 0,02\]

\[не\ принадлежит.\]

\[\boxed{\text{182.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]

\[y = \frac{120}{x}\ \]

\[\frac{120}{- 1200} = - \frac{1}{10} = - 0,1\]

\[\frac{120}{- 600} = - \frac{1}{5} = - 0,2\]

\[- 0,5 = \frac{120}{x}\]

\[x = \frac{120}{- 0,5} = - 120\ :\frac{1}{2} = - 240\]

\[- 1 = \frac{120}{x}\]

\[x = - \frac{120}{1} = - 120\]

\[\frac{120}{75} = \frac{24}{15} = \frac{8}{5} = \frac{16}{10} = 1,6\]

\[0,4 = \frac{120}{x}\]

\[x = \frac{120}{0,4}\]

\[x = 120\ :\frac{2}{5}\]

\[x = \frac{120 \cdot 5}{2}\]

\[x = 300\]