Решебник по математике 5 класс Мерзляк ФГОС Задание 1000

 

\[\boxed{\ \mathbf{1000\ (1000)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]

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

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

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

\[x = 1,6\]

\[Ответ:1,6.\]

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

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

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

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

\[x = 0,945\]

\[Ответ:0,945.\]

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

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

\[x = 6 + 1,25\]

\[x = 7,25\]

\[Ответ:7,25.\]

\[4)\ (x + 19,64) \cdot 0,18 = 144\]

\[x + 19,64 = 144\ :0,18\]

\[x = 800 - 19,64\]

\[x = 780,36\]

\[Ответ:780,36.\]

\[5)\ 17 \cdot (1,6 - 5x) = 2,38\]

\[1,6 - 5x = 2,38\ :17\]

\[5x = 1,6 - 0,14\]

\[x = 1,46\ :5\]

\[x = 0,292\]

\[Ответ:0,292.\]

\[6)\ 9,66\ :(x + 0,17) = 23\]

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

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

\[x = 0,25\]

\[Ответ:0,25.\]

\[7)\ 5,6\ :(x - 6) = 8\]

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

\(x = 0,7 + 6\)

\[x = 6,7\]

\[Ответ:6,7.\]

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

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

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

\[x = 0,4\]

\[Ответ:0,4.\]

\[9)\ 34,12 - x\ :3,08 = 34,03\]

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

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

\[x = 0,2772\]

\[Ответ:0,2772.\]

\(10)\ x\ :100 - 1,2367 = 2,9633\)

\[x\ :100 = 2,9633 + 1,2367\]

\[x = 4,2 \cdot 100\]

\[x = 420\]

\[Ответ:420.\]

\(11)\ 9,2 \cdot (0,01y + 0,412) = 4,6\)

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

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

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

\[y = 8,8\]

\[Ответ:8,8.\]

\[12)\ 8,8 \cdot (0,12y - 0,04) = 0,44\]

\[0,12y - 0,04 = 0,44\ :8,8\]

\[0,12y = 0,05 + 0,04\]

\[y = 0,09\ :0,12\]

\[y = 0,75\]

\[Ответ:0,75.\]

\[\boxed{\mathbf{1000}\mathbf{.}\mathbf{\ }}\]

\[\frac{1}{4} < \frac{x}{48} < \frac{1}{3}\]

\[\frac{12}{48} < \frac{x}{48} < \frac{16}{48}\]

\[\frac{1}{4} = \frac{12}{48};\ \ \ \ \ \frac{1}{3} = \frac{16}{48}\text{\ \ }\]

\[x = 13;14;15.\]

\[Ответ:\ \frac{13}{48};\ \frac{14}{48};\frac{15}{48}.\]