Решите уравнения:
а) - 3,1 + 1/6 x = - 3,5
б) ( 5,6 - 2x) × x = 0
Выполните действия:
а) ( 1,25 - 1 1/3) × (-5/7) - 1 1/6 : 5 4/9
б) - 2,75 × (-0,1)^2 × (- 3 7/11)
Ответы
Ответ дал:
6
-3.1 + 1/6x = -3.5
1/6x = -3.5 + 3.1
1/6x = -0.4
x = -0.4 : 1/6
x = -0.4 * 6
x = -2.4
=================
(5.6 - 2x) * x = 0
x _1=0
5.6 - 2x = 0
-2x = -5.6
2x = 5.6
x = 5.6/2
x=2.8
=================
![\\(1.25 - 1\frac{1}{3}) * (-\frac{5}{7}) - 1\frac{1}{6} : 5 \frac{4}{9} = \\
\\1.25 - 1\frac{1}{3} = 1\frac{1}{4} - 1 \frac{1}{3} = 1\frac{3}{12} - 1\frac{4}{12} = -\frac{1}{12}\\
\\-\frac{1}{12} * (-\frac{5}{7}) = \frac{5}{12*7} = \frac{5}{84} \\
\\1\frac{1}{6} : 5 \frac{4}{9} = \frac{7}{6} : \frac{49}{9} = \frac{7}{6} * \frac{9}{49} = \frac{1}{2} * \frac{3}{7} = \frac{3}{14} \\
\\ \frac{5}{84} - \frac{3}{14} = \frac{5}{84} - \frac{18}{84} =- \frac{13}{84}\\ \\(1.25 - 1\frac{1}{3}) * (-\frac{5}{7}) - 1\frac{1}{6} : 5 \frac{4}{9} = \\
\\1.25 - 1\frac{1}{3} = 1\frac{1}{4} - 1 \frac{1}{3} = 1\frac{3}{12} - 1\frac{4}{12} = -\frac{1}{12}\\
\\-\frac{1}{12} * (-\frac{5}{7}) = \frac{5}{12*7} = \frac{5}{84} \\
\\1\frac{1}{6} : 5 \frac{4}{9} = \frac{7}{6} : \frac{49}{9} = \frac{7}{6} * \frac{9}{49} = \frac{1}{2} * \frac{3}{7} = \frac{3}{14} \\
\\ \frac{5}{84} - \frac{3}{14} = \frac{5}{84} - \frac{18}{84} =- \frac{13}{84}\\](https://tex.z-dn.net/?f=%5C%5C%281.25+-+1%5Cfrac%7B1%7D%7B3%7D%29+%2A+%28-%5Cfrac%7B5%7D%7B7%7D%29+-+1%5Cfrac%7B1%7D%7B6%7D+%3A+5+%5Cfrac%7B4%7D%7B9%7D+%3D+%5C%5C%0A%5C%5C1.25+-+1%5Cfrac%7B1%7D%7B3%7D+%3D+1%5Cfrac%7B1%7D%7B4%7D+-+1+%5Cfrac%7B1%7D%7B3%7D+%3D+1%5Cfrac%7B3%7D%7B12%7D+-+1%5Cfrac%7B4%7D%7B12%7D+%3D+-%5Cfrac%7B1%7D%7B12%7D%5C%5C%0A%5C%5C-%5Cfrac%7B1%7D%7B12%7D+%2A+%28-%5Cfrac%7B5%7D%7B7%7D%29+%3D+%5Cfrac%7B5%7D%7B12%2A7%7D+%3D+%5Cfrac%7B5%7D%7B84%7D+%5C%5C%0A%5C%5C1%5Cfrac%7B1%7D%7B6%7D+%3A+5+%5Cfrac%7B4%7D%7B9%7D+%3D+%5Cfrac%7B7%7D%7B6%7D+%3A+%5Cfrac%7B49%7D%7B9%7D+%3D+%5Cfrac%7B7%7D%7B6%7D+%2A+%5Cfrac%7B9%7D%7B49%7D+%3D+%5Cfrac%7B1%7D%7B2%7D+%2A+%5Cfrac%7B3%7D%7B7%7D+%3D+%5Cfrac%7B3%7D%7B14%7D+%5C%5C%0A%5C%5C+%5Cfrac%7B5%7D%7B84%7D+-+%5Cfrac%7B3%7D%7B14%7D+%3D+%5Cfrac%7B5%7D%7B84%7D+-+%5Cfrac%7B18%7D%7B84%7D+%3D-+%5Cfrac%7B13%7D%7B84%7D%5C%5C)
================
- 2,75 × (-0,1)^2 × (- 3 7/11) = -2.7 * (-0.01) * (-3 7/11) = 0.027 * (-3 7/11) = 0.027 * (-40/11) = -1.08/11 = -108/1100
1/6x = -3.5 + 3.1
1/6x = -0.4
x = -0.4 : 1/6
x = -0.4 * 6
x = -2.4
=================
(5.6 - 2x) * x = 0
x _1=0
5.6 - 2x = 0
-2x = -5.6
2x = 5.6
x = 5.6/2
x=2.8
=================
================
- 2,75 × (-0,1)^2 × (- 3 7/11) = -2.7 * (-0.01) * (-3 7/11) = 0.027 * (-3 7/11) = 0.027 * (-40/11) = -1.08/11 = -108/1100
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