\[\boxed{\mathbf{1.}}\]
\[\textbf{а)}\ 64,\ 56,\ 48,\ 40,\ 32,\ 24.\]
\[\textbf{б)}\ \frac{2}{9};\ \frac{5}{18};\ \frac{8}{27};\ \frac{11}{36};\ \frac{14}{45};\ \frac{17}{54}.\]
\[\boxed{\mathbf{2.}}\]
\[\boxed{\mathbf{3.}}\]
\[32\ 015 > 4016\]
\[a\ :42 < a\ :35\]
\[\frac{4}{21} < \frac{9}{21}\]
\[\boxed{\mathbf{4.}}\]
\[\left( 3\frac{2}{14} + 5\frac{1}{14} \right) - \left( 6\frac{12}{14} - 4\frac{3}{14} \right) =\]
\[= 5\frac{8}{14}\]
\[3\frac{2}{14} + 5\frac{1}{14} = 8\frac{3}{14}\]
\[6\frac{12}{14} - 4\frac{3}{14} = 2\frac{9}{14}\]
\[8\frac{3}{14} - 2\frac{9}{14} = 7\frac{17}{14} - 2\frac{9}{14} =\]
\[= 5\frac{8}{14}\]
\[\boxed{\mathbf{5.}}\]
\[s\] | \[v\] | \[t\] | |
---|---|---|---|
\[Вначале\] | \[35 \cdot 2\ км\] | \[35\ \frac{км}{ч}\] | \[2\ ч\] |
\[Потом\] | \[45 \cdot 4\ км\] | \[45\ \frac{км}{ч}\] | \[4\ ч\] |
\[Осталось\] | \[?\] | \[9 - (2 + 4)\ ч\] |
\[1)\ 35 \cdot 2 + 45 \cdot 4 = 70 + 180 =\]
\[= 250\ (км) - прошел\ теплоход.\]
\[2)\ 370 - 250 = 120\ (км) - ему\ \]
\[осталось\ пройти.\]
\[3)\ 9 - (2 + 4) = 3\ (ч) - ему\ \]
\[еще\ идти.\]
\[4)\ 120\ :3 = 40\ \left( \frac{км}{ч} \right) -\]
\[должна\ быть\ скорость\ \]
\[теплохода.\]
\[Ответ:40\ \frac{км}{ч}.\]
\[\boxed{\mathbf{6.}}\]
\[4\ м\ 7\ см = 407\ см\]
\[6023\ м = 6\ км\ 23\ м\]
\[2\ кг\ 90\ г = 2090\ г\]
\[5008\ кг = 5\ т\ 8\ кг\]
\[254\ с = 4\ мин\ 14\ с\]
\[8\ ч\ 56\ мин = 536\ мин\]
\[3\ сут\ 6\ ч = 78\ ч\]
\[3\ дм^{2}\ 6\ см^{2} = 306\ см^{2}\]
\[\boxed{\mathbf{7.}}\]
\[136 - (x + 90)\ :4 = 56\]
\[(x + 90)\ :4 = 136 - 56\]
\[(x + 90)\ :4 = 80\]
\[x + 90 = 80 \cdot 4\]
\[x + 90 = 320\]
\[x = 320 - 90\]
\[x = 230.\]
\[\boxed{\mathbf{8.}}\]
\[\textbf{а)}\ (x + 12)\ :x\ (раз).\]
\[\textbf{б)}\ 5 \cdot (y\ :3)\ км.\]
\[\textbf{в)}\ 2 \cdot a + 4 \cdot b\ (рублей).\]
\[\textbf{г)}\ k \cdot (k\ :5 \cdot 4)\ м^{2}.\]
\[\boxed{\mathbf{9.}}\]
\[1)\ 40\ :5 \cdot 8 = 64\ (грядки) -\]
\[всего.\]
\[2)\ 64 - 40 = 24\ (грядки) -\]
\[осталось\ полить.\]
\[Ответ:24\ грядки.\]
\[\boxed{\mathbf{10.}}\]
\[\textbf{а)}\ a - (x \cdot 4 + x) \cdot 2\ (км).\]
\[\textbf{б)}\ b\ :(y - y\ :5 \cdot 3)\ мин.\]