Решебник по математике 5 класс Мерзляк ФГОС Задание 1414

\[\boxed{\ \mathbf{1414}.\ }\]

\[1)\ (1,8x + x) \cdot 21 = 71,4\]

\[1,8 + x = 71,4\ :21\]

\[x = 3,4 - 1,8\]

\[x = 1,6\]

\[Ответ:1,6.\]

\[2)\ 16 \cdot (4x - 3,4) = 6,08\]

\[4x - 3,4 = 6,08\ :16\]

\[4x = 0,38 + 3,4\]

\[x = 3,78\ :4\]

\[x = 0,945\]

\[Ответ:0,945.\]

\[3)\ (x - 1,25) \cdot 4,5 = 27\]

\[x - 1,25 = 27\ :4,5\]

\[x = 6 + 1,25\]

\[x = 7,25\]

\[Ответ:7,25.\]

\[4)\ 9,66\ :(x + 0,17) = 23\]

\[x + 0,17 = 9,66\ :23\]

\[x = 0,42 - 0,17\]

\[x = 0,25\]

\[Ответ:0,25.\]

\[5)\ 5,6\ :(x - 6) = 8\]

\[x - 6 = 5,6\ :8\]

\(x = 0,7 + 6\)

\[x = 6,7\]

\[Ответ:6,7.\]

\[6)\ 5,6\ :x - 6 = 8\]

\[5,6\ :x = 8 + 6\]

\[x = 5,6\ :14\]

\[x = 0,4\]

\[Ответ:0,4.\]

\[7)\ 34,12 - x\ :3,08 = 34,03\]

\[x\ :3,08 = 34,12 - 34,03\]

\[x = 0,09 \cdot 3,08\]

\[x = 0,2772\]

\[Ответ:0,2772.\]

\(8)\ 9,2 \cdot (0,01y + 0,412) = 4,6\)

\[0,01y + 0,412 = 4,6\ :9,2\]

\(0,01y = 0,5 - 0,412\)

\[y = 0,088\ :0,01\]

\[y = 8,8\]

\[Ответ:8,8.\]