-\(\frac{1}{3}\)< x-0,6 <\(\frac{1}{3}\)
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\(\left(-0,6x-\frac{1}{2}\right).\frac{3}{4}-\left(-1\right)=\frac{1}{3}\)
\(\Rightarrow\left(-0,6x-\frac{1}{2}\right).\frac{3}{4}=\frac{1}{3}+\left(-1\right)=-\frac{2}{3}\)
\(\Rightarrow-0,6x-\frac{1}{2}=-\frac{2}{3}:\frac{3}{4}=-\frac{8}{9}\)
\(\Rightarrow-0,6x=-\frac{8}{9}+\frac{1}{2}=-\frac{7}{18}\)
\(\Rightarrow x=-\frac{7}{18}:\left(-0,6\right)=\frac{35}{54}\)
\(\left(-0,6.x-\frac{1}{2}\right)\times\frac{3}{4}-\left(-1\right)=\) \(\frac{1}{3}\)
\(\left(0,6x-\frac{1}{2}\right)\times\frac{3}{4}+1=\frac{1}{3}\)
\(\left(-0,6.x-\frac{1}{2}\right)\times\frac{3}{4}=\frac{1}{3}-1\)
\(\left(-0,6.x-\frac{1}{2}\right)\times\frac{3}{4}=\frac{-2}{3}\)
\(-0,6.x-\frac{1}{2}=\frac{-2}{3}:\frac{3}{4}\)
\(-0,6.x-\frac{1}{2}=\frac{-8}{9}\)
\(-0,6.x=\frac{-8}{9}+\frac{1}{2}\)
\(-0,6.x=\frac{-7}{18}\)
\(x=\frac{-7}{18}:\left(-0,6\right)=\frac{35}{54}\)
Ta có:
\(0,4\left(3\right)=\frac{43-4}{90}=\frac{39}{90}=\frac{13}{30}.\)
\(0,6\left(2\right)=\frac{62-6}{90}=\frac{56}{90}=\frac{28}{45}.\)
\(0,6\left(8\right)=\frac{68-6}{90}=\frac{62}{90}=\frac{31}{45}.\)
Vậy:
\(\frac{13}{30}+\frac{28}{45}.\frac{5}{2}-\frac{\frac{5}{6}}{\frac{31}{45}}.\frac{53}{50}\)
\(=\frac{13}{30}+\frac{14}{9}-\frac{75}{62}.\frac{53}{50}\)
\(=\frac{13}{30}+\frac{14}{9}-\frac{159}{124}\)
\(=\frac{179}{90}-\frac{159}{124}\)
\(=\frac{3943}{5580}.\)
Chúc bạn học tốt!
a) -0,6 . x - 7/3 = 5,4 (sửa dấu phẩy thành dấu nhân)
=> \(-\frac{3}{5}x-\frac{7}{3}=\frac{27}{5}\)
=> \(-\frac{3}{5}x=\frac{27}{5}+\frac{7}{3}=\frac{116}{15}\)
=> \(x=\frac{116}{15}:\left(-\frac{3}{5}\right)=\frac{116}{15}\cdot\left(-\frac{5}{3}\right)=-\frac{116}{9}\)
b) 2,8 : \(\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\)
=> \(\frac{1}{5}-3x=2,8:1\frac{2}{5}\)
=> \(\frac{1}{5}-3x=\frac{14}{5}:\frac{7}{5}=\frac{14}{5}\cdot\frac{5}{7}=2\)
=> 3x = \(\frac{1}{5}-2=-\frac{9}{5}\)
=> \(x=\left(-\frac{9}{5}\right):3=\left(-\frac{9}{5}\right)\cdot\frac{1}{3}=-\frac{3}{5}\)
Nên sửa lại đề câu a đi nhá :))
a) \(14:\frac{0,4x+0,6}{x}=7\)
\(\frac{0,4x+0,6}{x}=2\)
0,4x + 0,6 = 2.x
2x - 0,4x = 0,6
1,6x = 0,6
x = 0,375
b) \(\left(160\%+\frac{2}{3}x-x\right).12=660\)
\(\left(160\%+\frac{2}{3}x-x\right)=55\)
\(x\left(\frac{2}{3}-1\right)=53,4\)
\(-\frac{1}{3}x=\frac{267}{5}\)
\(x=\frac{267}{5}.\frac{3}{-1}\)
\(x=-160,2\)
c) \(1:\frac{1.2.3.4.....31}{2.2.2.3.2.4.....2.32}=2^x\)
\(1:\frac{1.2.3.4.....31}{2^{31}.2.3.4.....31.2^5}=2^x\)
\(1:\frac{1}{2^{36}}=2^x\)
\(2^{36}=2^x\)
\(x=36\)
\(\left|x-0,6\right|< \frac{1}{3}\)
\(\Leftrightarrow x-0,6< 0,3.........\)
\(\Leftrightarrow\left(x-0,6\right)\in\left\{0;0,1;0,2;0,3\right\}\)
\(\Leftrightarrow x\in\left\{0,6;0,7;0,8;0,9\right\}\)
Vậy ......................
~ Hok tốt ~
\(/x-0,6/< \frac{1}{3}\)
\(/x-\frac{6}{10}/< \frac{1}{3}\)
\(/x-\frac{3}{5}/< \frac{1}{3}\)
TH1
\(x-\frac{3}{5}< \frac{1}{3}\)
\(x< \frac{1}{3}+\frac{3}{5}\)
\(x< \frac{14}{15}\)
TH2
\(x-0,6< -\frac{1}{3}\)
\(x< -\frac{1}{3}+\frac{6}{10}\)
\(x< -\frac{1}{3}+\frac{3}{5}\)
\(x< \frac{4}{15}\)
\(\frac{10.23-30}{10.27+30}=\frac{10.23-10.3}{10.27+10.3}=\frac{10.\left(23-3\right)}{10.\left(27+3\right)}=\frac{10.20}{10.30}=\frac{2}{3}\)
Tham khảo nha !!!
a, \(\left(\frac{5}{8}.0,6-5:3\frac{1}{3}\right).\left(\frac{1}{5}-1,4\right).\left(-5\right)^2.x=120\)
\(\left(\frac{5}{8}.\frac{3}{5}-5:\frac{10}{3}\right)\left(\frac{1}{5}-\frac{7}{5}\right).25x=120\)
\(\left(\frac{3}{8}-\frac{3}{2}\right)\left(-\frac{6}{5}\right).25x=120\)
\(\left(-\frac{9}{8}\right).\left(-\frac{6}{5}\right).25x=120\)
\(\frac{27}{20}.25x=120\)\(25x=120:\frac{27}{20}=\frac{800}{9}\)
\(x=\frac{800}{9}:25=\frac{32}{9}\)
đợi tí đi nấu cơm đã
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