\[\boxed{\mathbf{1.}}\]
\[\textbf{а)}\ 3\ сут\ 2\ ч = 74\ ч\]
\[\textbf{б)}\ 7\ ч\ 14\ мин = 434\ мин\]
\[\textbf{в)}\ 8\ мин\ 39\ с = 519\ с\]
\[\textbf{г)}\ 480\ мин = 8\ ч\]
\[\boxed{\mathbf{2.}}\]
\[6\ ч\ 49\ мин + 3\ ч\ 28\ мин =\]
\[= 9\ ч\ 77\ мин = 10\ ч\ 17\ мин -\]
\[время\ прибытия\ вертолета.\]
\[Ответ:10\ ч\ 17\ мин.\]
\[\boxed{\mathbf{3.}}\]
\[63\ :(24 - x\ :3) = 7\]
\[24 - x\ :3 = 63\ :7\]
\[24 - x\ :3 = 9\]
\[x\ :3 = 24 - 9\]
\[x\ :3 = 15\]
\[x = 15 \cdot 3\]
\[x = 45.\]
\[Проверка:\]
\(63\ :(24 - 45\ :3) = 7\)
\[63\ :9 = 7\]
\[7 = 7.\]
\[14 \cdot (x + 2) - 39 = 45\]
\[14 \cdot (x + 2) = 45 + 39\]
\[14 \cdot (x + 2) = 84\]
\[x + 2 = 84\ :14\]
\[x + 2 = 6\]
\[x = 6 - 2\]
\[x = 4.\]
\[14 \cdot (4 + 2) - 39 = 45\]
\[14 \cdot 6 - 39 = 45\]
\[84 - 39 = 45\]
\[45 = 45.\]
\[\boxed{\mathbf{4.}}\]
\[\boxed{\mathbf{5.}}\]
\[6 + 6\ :x\ (книг) - мальчики\ \]
\[купили\ вместе.\]
\[x = \left\{ 2;3;6 \right\}.\]
\[\boxed{\mathbf{6.}}\]
\[\textbf{а)}\ 5 \cdot a < 15\]
\[при\ a = 0;1;2.\]
\[\textbf{б)}\ b \cdot 0 = 0\]
\[при\ b - любое\ число.\]
\[\textbf{в)}\ 8 \cdot (c - 4) = 0\]
\[при\ c = 4.\]
\[\textbf{г)}\ d - 12 > d + 3\]
\[при\ d = \varnothing.\]
\[\boxed{\mathbf{7.}}\]