\(\left(1,256\cdot a+1,743\cdot a\right)-2014=2015\)

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20 tháng 8 2016

\(\left(1,256.a+1,743.a\right)-2014=2015\)

\(\Leftrightarrow a\left(1,256+1,743\right)=2015+2014\)

\(\Leftrightarrow a.2,999=4029\)

\(\Leftrightarrow a=\frac{4029}{2,999}=1343,\left(44781593\right)\)

20 tháng 8 2016

\(\left(1,256.a+1,743.a\right)-2014=2015\)

\(=\left(1,256.a+1,743.a\right)=2015+2014=4029\)

\(=\left(1,256.a+1,743.a\right)=4029\)

\(=\)gộp lại rùi tính 

23 tháng 5 2018

\(\frac{242}{363}+\frac{1616}{2121}=\frac{2}{7}.\frac{2015}{A}\)

\(\frac{11.11.2}{11.11.3}+\frac{101.16}{101.21}=\frac{2}{7}.\frac{2015}{A}\)

\(\frac{2}{3}+\frac{16}{21}=\frac{2}{7}.\frac{2015}{A}\)

\(\Rightarrow\frac{2}{7}.\frac{2015}{A}=\frac{10}{7}\)

\(\frac{2015}{A}=\frac{10}{7}:\frac{2}{7}\)

\(\frac{2015}{A}=5\)

\(A=2015:5\)

\(A=403\)

23 tháng 5 2018

\(\left(\frac{242}{363}+\frac{1616}{2121}\right)=\frac{2}{7}.\frac{2015}{A}\)

\(\Leftrightarrow\left(\frac{2}{3}+\frac{16}{21}\right)=\frac{2}{7}.\frac{2015}{A}\)

\(\Leftrightarrow\frac{10}{7}=\frac{2}{7}.\frac{2015}{A}\)

\(\Leftrightarrow5=\frac{2015}{A}\)

\(\Leftrightarrow A=403\)

21 tháng 7 2018

\(\left(2013.2014+2014.2015+2015.2016\right)\left(1+\frac{1}{3}-1\frac{1}{3}\right)\)

\(=\left(2013.2014+2014.2015+2015.2016\right)\left(\frac{4}{3}-\frac{4}{3}\right)\)

\(=\left(2013.2014+2014.2015+2015.2016\right).0\)

\(=0\)

21 tháng 7 2018

ggggggggggggggggggggggggggggggg

7 tháng 8 2017

a. ta có (0.1+0.19)+(0.2+0.18)......+0.10 
A=0.20+0.20++0.20+0.20+0.20+0.20+0.20+0.20+0.20+0.10
A=1.90 
câu b mình pó tay

7 tháng 8 2017

a ) \(A=0,1+0,2+...+0,19\)

\(A=\left(0,1+0,2+...+0,9\right)+\left(0,10+0,11+...+0,19\right)\)

\(A=0,1\times\left(1+2+...+9\right)+0,1\times\left(1+1,1+...+1,9\right)\)

\(A=0,1\times45+0,1\times14,5\)

\(A=0,1\times\left(45+14,5\right)\)

\(A=0,1\times59,5\)

\(A=5,95\)

b ) \(B=\left(2017\times2016+2014\times2015\right)\times\left(1+\frac{1}{2}\div1\frac{1}{2}+1\frac{1}{3}\right)\)

\(B=\left(2017\times2016+2014\times2015\right)\times\left(1+\frac{1}{2}\div\frac{3}{2}+\frac{4}{3}\right)\)

\(B=\left(2017\times2016+2014\times2015\right)\times\left(1+\frac{2}{6}+\frac{4}{3}\right)\)

\(B=\left(2017\times2016+2014\times2015\right)\times\frac{8}{3}\)

3 tháng 7 2018

Câu b:

\(\frac{21}{8}:\frac{5}{6}+\frac{1}{2}:\frac{5}{6}\)

\(\frac{63}{20}+\frac{3}{5}\)

\(\frac{15}{4}\)

7 tháng 7 2018

\(\left(\frac{21}{8}+\frac{1}{2}\right):\frac{5}{6}\)

\(\frac{25}{8}:\frac{5}{6}\)

\(\frac{25}{8}.\frac{6}{5}\)

\(\frac{30}{8}\)

23 tháng 1 2016

(1-1/2).(1-1/3).(1-1/4).(1-1/5)=b/100

=> 1/2.2/3.3/4.4/5=b/100

=> 1/5=b/100

=> b=100:5=20

16 tháng 8 2017

Ta có:

\(A=\left(x-\frac{1}{2}\right).\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\left(\frac{1}{1}-\frac{1}{10}\right)=\frac{1}{3}\)

\(\Leftrightarrow A=\left(x-\frac{1}{2}\right).\frac{9}{10}=\frac{1}{3}\Leftrightarrow x-\frac{1}{2}=\frac{1}{3}.\frac{10}{9}\Leftrightarrow x=\frac{47}{54}\)

\(B=\frac{1}{1.6}+\frac{1}{6.11}+\frac{1}{11.16}+...+\frac{1}{96.101}=\frac{1}{10.x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{96.101}\right)=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{1}{1}-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{96}-\frac{1}{101}\right)=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{5}.\left(\frac{1}{1}-\frac{1}{101}\right)=\frac{1}{10}-\frac{1}{x}\Leftrightarrow B=\frac{1}{5}.\frac{100}{101}=\frac{1}{10}-\frac{1}{x}\)

\(\Leftrightarrow B=\frac{1}{x}=\frac{1}{10}-\frac{20}{101}=-\frac{99}{1010}\Leftrightarrow x=-\frac{1010}{99}\)

16 tháng 8 2017

c) Sai đề nhé bạn vì không có kết quả nên không tìm được x.

d) \(\left(x-5\right).\left(10-9\frac{40}{41}\right):\left(1-\frac{81}{82}\right):\left(1-\frac{204}{205}\right)=2050\)

\(\Rightarrow\left(x-5\right).\frac{1}{41}.82.205=2050\)

\(\Rightarrow\left(x-5\right).2.205=2050\Leftrightarrow x-5=2050:410=5\Leftrightarrow x=10\)

9 tháng 7 2017

\(\left(x-3\right).\left(y-2\right)=7\)

\(\Rightarrow x-3;y-2\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\)

 Ta có bảng sau:

 
x-3-7-117
     y-2-1-771
x-42410
y1-573


Vậy (x;y) là :(-4;1),(2;5),(4;7),(10;3)

làm tương tự 

18 tháng 8 2017

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\cdot\cdot\frac{19}{20}=\frac{1}{20}\)

18 tháng 8 2017

=\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}......\frac{19}{20}\)

= đến đây bn xem trong thống kê hỏi đáp nhé

 = :))

7 tháng 8 2017

a ) \(x+x\times\frac{1}{3}\div\frac{2}{9}+x\div\frac{2}{7}=252\)

\(x\times1+x\times\frac{1}{3}\div\frac{2}{9}+x\div\frac{2}{7}=252\)

\(x\times1+x\times\frac{1}{3}\times\frac{9}{2}+x\times\frac{7}{2}=252\)

\(x\times1+x\times\frac{9}{6}+x\times\frac{7}{2}=252\)

\(x\times\left(1+\frac{9}{6}+\frac{7}{2}\right)=252\)

\(x\times6=252\)

\(x=252\div6\)

\(x=42\)

b ) \(\left(3\times x-0,8\right)\div x+14,5=15\)

\(\left(3\times x-0,8\right)\div x=15-14,5\)

\(\left(3\times x-0,8\right)\div x=0,5\)

\(0,8\div x=3-0,5\)

\(0,8\div x=2,5\)

\(x=0,8\div2,5\)

\(x=0,32\)