\[\boxed{\text{180\ (180).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = \frac{120}{x}\ \]
\[x\] | \[- 1200\] | \[- 600\] | \[- 240\] | \[- 120\] | \[75\] | \[120\] | \[300\] | \[1000\] |
---|---|---|---|---|---|---|---|---|
\[y\] | \[- 0,1\] | \[- 0,2\] | \[- 0,5\] | \[- 1\] | \[1,6\] | \[1\] | \[0,4\] | \[0,12\] |
\[1)\ \frac{120}{- 1200} = - \frac{1}{10} = - 0,1\]
\[2)\ \frac{120}{- 600} = - \frac{1}{5} = - 0,2\]
\[3)\ - 0,5 = \frac{120}{x}\]
\[x = \frac{120}{- 0,5} = - 120\ :\frac{1}{2} = - 240\]
\[4)\ - 1 = \frac{120}{x}\]
\[x = - \frac{120}{1} = - 120\]
\[5)\ \frac{120}{75} = \frac{24}{15} = \frac{8}{5} = \frac{16}{10} = 1,6\]
\[6)\ 0,4 = \frac{120}{x}\]
\[x = \frac{120}{0,4} = \frac{1200}{4} = 300.\]
\[7)\ \ \frac{120}{1000} = 0,12.\]
\[\boxed{\text{180.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[s = 710\ км\]
\[v_{с} = 110\ \frac{км}{ч}\]
\[v_{n} = 90\ \frac{км}{ч}\]
\[t_{c} = t_{n} + 1\]
\[s_{n} = v_{n} \cdot t_{n}\]
\[s_{c} = v_{с} \cdot t_{c} = v_{с} \cdot (t_{n} + 1)\]
\[s = s_{n} + s_{c} = 710\ км\]
\[s = v_{с} \cdot \left( t_{n} + 1 \right) + v_{n} \cdot t_{n} =\]
\[= 710\ км.\]
\[110(t + 1) + 90t = 710\]
\[110t + 110 + 90t = 710\]
\[200t = 600\]
\[t_{n} = 3\ (часа) - ехал\ \]
\[пассажирский\ поезд.\]
\[t_{c} = t_{n} + 1 = 3 + 1 = 4\ (часа) -\]
\[через\ такое\ время\ они\ \]
\[встретятся.\]
\[Ответ:3\ часа,\ через\ 4\ часа.\]