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\(\frac{x}{27}-\frac{2}{9}=\frac{6}{18}\Rightarrow\frac{x}{27}=\frac{5}{9}\Rightarrow x=15\)
máy tính đang để ở nhà ông anh , làm biếng tính tay lắm, đành tính nhẩm vậy, còn mấy bài kia tự xử nhé
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\(2009-\left(4\frac{5}{9}+x-7\frac{7}{18}\right):15\frac{2}{3}=2008\)
\(2009-\left(\frac{41}{9}+x-\frac{133}{18}\right):\frac{47}{3}=2008\)
\(\left(\frac{41}{9}+x-\frac{133}{18}\right):\frac{47}{3}=2009-2008\)
\(\left(\frac{41}{9}+x-\frac{133}{18}\right):\frac{47}{3}=1\)
\(\frac{41}{9}+x-\frac{133}{18}=1\cdot\frac{47}{3}\)
\(\frac{41}{9}+x-\frac{133}{18}=\frac{47}{3}\)
\(\frac{41}{9}+x=\frac{133}{18}+\frac{47}{3}\)
\(\frac{41}{9}+x=\frac{415}{18}\)
\(x=\frac{415}{18}-\frac{41}{9}\)
\(x=\frac{37}{2}\)
\(2009-\left(4\frac{5}{9}+x-7\frac{7}{18}\right)\div15\frac{2}{3}=2008\)
\(\left(4\frac{5}{9}+x-7\frac{7}{18}\right)\div15\frac{2}{3}=2009-2008\)
\(\left(-3\frac{3}{18}+x\right)\div15\frac{2}{3}=1\)
\(-3\frac{3}{18}+x=15\frac{2}{3}\)
\(x=15\frac{2}{3}+3\frac{3}{18}\)
\(x=15\frac{12}{18}+3\frac{3}{18}\)
\(x=18\frac{15}{18}\)
exactly 100%
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\(\frac{1}{3}\cdot\frac{1}{4}\cdot\frac{x}{5}=\frac{1}{15}\)
=>\(\frac{1\cdot1\cdot x}{3\cdot4\cdot5}=\frac{1}{15}\)
=>\(\frac{x}{60}=\frac{1}{15}\)
Từ đó suy ra x=4.
Dấu \(\cdot\)là dấu nhân nha bn.
\(\frac{1}{3}.\frac{1}{4}.\frac{x}{5}=\frac{1}{15}\)
\(\frac{1}{12}.\frac{x}{5}=\frac{1}{15}\)
\(\frac{x}{5}=\frac{1}{15}:\frac{1}{12}\)
\(\frac{x}{5}=\frac{12}{15}\)
\(\frac{x}{5}=\frac{4}{5}\)
\(\Leftrightarrow x=4\)
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\(\left(a\right)\frac{34-x}{30}=\frac{5}{6}\)
\(\frac{34-x}{30}=\frac{25}{30}\)
34 - x = 25
x = 34 - 25 = 9
\(\left(b\right)\frac{x+13}{34}=\frac{12}{17}\)
\(\frac{x+13}{34}=\frac{24}{34}\)
x + 13 = 24
x = 24 - 13 = 11
\(\left(c\right)\left(x+\frac{1}{3}\right)+\left(x+\frac{1}{9}\right)+\left(x+\frac{1}{27}\right)+\left(x+\frac{1}{81}\right)=\frac{56}{81}\)
\(4x+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}=\frac{56}{81}\)
Đặt \(A=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\)
Ta có : \(3A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\)
\(3A-A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}-\frac{1}{3}-\frac{1}{9}-\frac{1}{27}-\frac{1}{81}\)
\(2A=1-\frac{1}{81}=\frac{80}{81}\)
\(A=\frac{80}{81}\div2=\frac{40}{81}\)
\(\Rightarrow4x+\frac{40}{81}=\frac{56}{81}\)
\(4x=\frac{56}{81}-\frac{40}{81}\)
\(4x=\frac{16}{81}\)
\(x=\frac{16}{81}\div4=\frac{4}{81}\)
Ta có: \(\frac{x}{13}+\frac{x}{5}+\frac{x}{15}=18\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\frac{x}{13}+\frac{x}{5}+\frac{x}{15}=\frac{x+x+x}{13+5+15}=\frac{3x}{33}=\frac{x}{11}=18\)
=> \(\Rightarrow\frac{x}{11}=18\Rightarrow x=18\cdot11=198\)
Vậy x = 198