Решебник по математике 5 класс Мерзляк ФГОС Задание 493

 

\[\boxed{\ \mathbf{493\ (493)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ (x + 14)\ :9 = 13\]

\[x + 14 = 13 \cdot 9\]

\[x + 14 = 117\]

\[x = 117 - 14\]

\[x = 103\]

\[Ответ:103.\]

\[2)\ 966\ :(x + 17) = 23\]

\[x + 17 = 966\ :23\]

\[x + 17 = 42\]

\[x = 42 - 17\]

\[x = 25\]

\[Ответ:25.\]

\[3)\ x\ :8 - 6 = 49\]

\[x\ :8 = 49 + 6\]

\[x\ :8 = 55\]

\[x = 55 \cdot 8\]

\[x = 440\]

\[Ответ:440.\]

\[4)\ 52 + 72\ :x = 56\]

\[72\ :x = 56 - 52\]

\[72\ :x = 4\]

\[x = 72\ :4\]

\[x = 18\]

\[Ответ:18.\]

\[5)\ 56\ :(x - 6) = 8\]

\[x - 6 = 56\ :8\]

\[x - 6 = 7\]

\[x = 7 + 6\]

\[x = 13\]

\[Ответ:13.\]

\[6)\ 56\ :x - 6 = 8\]

\[56\ :x = 8 + 6\]

\[56\ :x = 14\]

\[x = 56\ :14\]

\[x = 4\]

\[Ответ:4.\]

\[\boxed{\ \mathbf{493.}}\]

\[1)\ 16 - c^{3};\ \ если\ \ \ c = 2:\]

\[16 - 2^{3} = 16 - 8 = 8.\]

\[2)\ x^{3} - x^{2};\ \ если\ \ x = 10:\]

\[10^{3} - 10^{2} = 1000 - 100 = 900.\]

\[3)\ 15a^{2};\ \ если\ \ a = 4:\]

\[15 \cdot 4^{2} = 15 \cdot 4 \cdot 4 = 60 \cdot 4 =\]

\[= 240.\]

\[4)\ a^{2} \cdot b^{3};\ \ если\ \ a = 6;\ \ b = 10:\]

\[6^{2} \cdot 10^{3} = 36 \cdot 1000 = 36\ 000.\]

\[5)\ \left( x^{2} - y^{2} \right)\ :(x - y);\ \ \]

\[если\ x = 4;\ \ y = 2:\]

\[(x + y) \cdot (x - y)\ :(x - y) =\]

\[= (x + y) \cdot 1 = x + y =\]

\[= 4 + 2 = 6.\]

\[6)\ \left( x^{2} - y^{2} \right)\ :x - y;\ \ если\ \ x =\]

\[= 4;\ \ y = 2:\]

\[\left( 4^{2} - 2^{2} \right)\ :4 - 2 =\]

\[= (16 - 4)\ :4 - 2 =\]

\[= 12\ :4 - 2 = 3 - 2 = 1.\]

\[7)\ x^{2} - y^{2}\ :(x - y);\ \ если\ x =\]

\[= 4;\ \ y = 2:\]

\[4^{2} - 2^{2}\ :(4 - 2) = 16 - 4\ :2 =\]

\[= 16 - 2 = 14.\]

\[8)\ x^{2} - y^{2}\ :x - y;\ \ если\ \ x =\]

\[= 4;\ \ y = 2:\]

\[4^{2} - 2^{2}\ :4 - 2 =\]

\[= 16 - 4\ :4 - 2 = 16 - 1 - 2 =\]

\[= 13.\]