Решебник по математике 6 класс Мерзляк ФГОС Задание 453

 

\[\boxed{\mathbf{453\ (453).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \frac{25}{27}x = \frac{5}{18}\text{\ \ \ }\]

\[x = \frac{5}{18}\ :\frac{25}{27}\]

\[x = \frac{5}{18} \cdot \frac{27}{25}\]

\[x = \frac{3}{10}\]

\[Ответ:\frac{3}{10}.\]

\[2)\ \frac{13}{17}x = 39\ \ \ \ \]

\[x = 39\ :\frac{13}{17}\]

\[x = 39 \cdot \frac{17}{13}\]

\[x = 51\]

\[Ответ:51.\]

\[3)\ 4x = \frac{5}{7}\text{\ \ \ \ }\]

\[x = \frac{5}{7}\ :4\]

\[x = \frac{5}{7} \cdot \frac{1}{4}\]

\[x = \frac{5}{7 \cdot 4}\]

\[x = \frac{5}{28}\]

\[Ответ:\frac{5}{28}.\]

\[4)\ x \cdot 2\frac{2}{15} = 1\frac{9}{16}\text{\ \ \ \ }\]

\[x = 1\frac{9}{16} \cdot 2\frac{2}{15}\]

\[x = \frac{25}{16} \cdot \frac{32}{15}\]

\[x = \frac{10}{3}\]

\[x = 3\frac{1}{3}\]

\[Ответ:3\frac{1}{3}.\]

\[5)\ 4\frac{4}{9}\ :x = \frac{5}{27}\text{\ \ \ \ \ }\]

\[x = 4\frac{4}{9}\ :\frac{5}{27}\]

\[x = \frac{40}{9} \cdot \frac{27}{5}\]

\[x = 24\]

\[Ответ:24.\]

\[6)\ 1\frac{4}{9}x = 5,2\ \ \ \ \ \ \ \ \]

\[x = 5,2\ :1\frac{4}{9}\]

\[x = \frac{52}{10}\ \ :\frac{13}{9}\]

\[x = \frac{26}{5} \cdot \frac{9}{13}\]

\[x = \frac{18}{5}\]

\[x = 3\frac{3}{5}\]

\[Ответ:3\frac{3}{5}.\]

\[\boxed{\mathbf{453}.}\]

\[1)\ 8,4 \cdot a \cdot 0,5 = 4,2 \cdot a\]

\[a = 5,5:\]

\[4,2 \cdot 5,5 = 23,1.\]

\[2)\ 0,25x \cdot 0,4y = 0,1xy\]

\[x = 1,2;\ \ y = 0,3:\]

\[0,1 \cdot 1,2 \cdot 0,3 = 0,1 \cdot 0,36 = 0,036.\]