Решебник по математике 5 класс Виленкин Часть 1, 2 Часть 2. Параграф 6. Десятичные дроби Задание 333

\[\boxed{\text{6.3}\text{3}\text{3.}}\]

\[\textbf{а)}\ 10 - 2,6x = 2,59\ \]

\[2,6x = 10 - 2,59\]

\[2,6x = 7,41\]

\[x = 7,41\ :2,6 = 74,1\ :26\]

\[x = 2,85.\ \]

\[Ответ:2,85.\ \]

\[\textbf{б)}\ (y + 16,7) \cdot 2,6 = 80,08\ \]

\[y + 16,7 = 80,08\ :2,6\]

\[y + 16,7 = 800,8\ :26\]

\[y + 16,7 = 30,8\]

\[y = 30,8 - 16,7\]

\[y = 14,1.\ \]

\[Ответ:14,1.\ \]

\[\textbf{в)}\ (z - 2,3)\ :0,4 = 31,1\]

\[z - 2,3 = 31,1 \cdot 0,4\]

\[z - 2,3 = 12,44\]

\[z = 12,44 + 2,3\]

\[z = 14,74.\ \]

\[Ответ:14,74.\ \]

\[\textbf{г)}\ 2,5m + m = 7,7\ \]

\[3,5m = 7,7\]

\[m = 7,7\ :3,5 = 77\ :35\]

\[m = 2,2.\ \]

\[Ответ:2,2.\ \]

\[\textbf{д)}\ 5,4p - p = 7,04\]

\[4,4p = 7,04\]

\[p = 7,04\ :4,4 = 70,4\ :44\]

\[p = 1,6.\ \]

\[Ответ:1,6.\ \]

\[\textbf{е)}\ 12,2t - 4,9t = 73,73\]

\[7,3t = 73,73\]

\[t = 73,73\ :7,3 = 737,3\ :73\]

\[t = 10,1.\ \]

\[Ответ:10,1.\ \]

\[\textbf{ж)}\ (7,26 - s)\ :5,05 = 0,602\]

\[7,26 - s = 0,602 \cdot 5,05\]

\[7,26 - s = 3,0401\]

\[s = 7,26 - 3,0401\]

\[s = 4,2199.\ \]

\[Ответ:4,2199.\ \]

\[\textbf{з)}\ 8k - 7,78k = 0,4488\ \]

\[0,22k = 0,4488\]

\[k = 0,4488\ :0,22 = 44,88\ :22\]

\[k = 2,04.\ \]

\[Ответ:2,04.\]