\(\dfrac{30-x}{30}=\dfrac{5}{15};\dfrac{x+30}{72}=\dfrac{5}{8}\)
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\(\dfrac{30-x}{30}=\dfrac{8}{15}\)
\(\Rightarrow\left(30-x\right)15=30\times8\)
\(\Rightarrow\left(30-x\right)15=240\)
\(\Rightarrow30-x=240:15\)
\(\Rightarrow30-x=16\)
\(\Rightarrow x=30-16\)
\(\Rightarrow x=14\)
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\(\dfrac{x+30}{72}=\dfrac{5}{8}\)
\(\Rightarrow\left(x+30\right)8=5\times72\)
\(\Rightarrow\left(x+30\right)8=360\)
\(\Rightarrow x+30=360:8\)
\(\Rightarrow x+30=45\)
\(\Rightarrow x=45-30\)
\(\Rightarrow x=15\)
11/9-5/6:15
=11/9-5/6.1/15
=11/9-1/18
=7/6
3/16+(-7/30).15/28
=3/16+(-1/8)
=3/16+(-2/16)
=1/16
\(\dfrac{11}{9}-\dfrac{5}{6}:15=\dfrac{11}{9}-\dfrac{5}{6}\times\dfrac{1}{15}=\dfrac{11}{9}-\dfrac{5}{90}=\dfrac{110}{90}-\dfrac{5}{90}=\dfrac{105}{90}=\dfrac{7}{6}\)
\(\dfrac{3}{16}+\dfrac{-7}{30}\times\dfrac{15}{28}=\dfrac{3}{16}+\left(-\dfrac{1}{8}\right)=\dfrac{3}{16}-\dfrac{1}{8}=\dfrac{3}{16}-\dfrac{2}{16}=\dfrac{1}{16}\)
\(a,x-\dfrac{5}{7}=\dfrac{19}{21}\\ x=\dfrac{34}{21}\\ b,\dfrac{5}{3}-\left|x-\dfrac{1}{5}\right|=\dfrac{1}{3}\\ \left|x-\dfrac{1}{5}\right|=\dfrac{4}{3}\\ TH1:x-\dfrac{1}{5}=\dfrac{4}{3}\\ x=\dfrac{23}{15}\\ TH2:x-\dfrac{1}{5}=-\dfrac{4}{3}\\ x=-\dfrac{17}{15}\\ c,x-\dfrac{2}{5}=\dfrac{1}{4}\\ x=\dfrac{13}{20}\\ d,5\sqrt{x}-30=15\\ 5\sqrt{x}=45\\ \sqrt{x}=9\\ x=9^2=81\)
\(\Leftrightarrow2x-\dfrac{1}{3}=\left(\dfrac{12}{30}-\dfrac{4}{15}\right):\dfrac{3}{5}=\dfrac{2}{9}\)
=>2x=5/9
hay x=5/18
\(\dfrac{-5}{6}\)- x=\(\dfrac{7}{12}\)+\(\dfrac{-8}{12}\)=\(\dfrac{-15}{12}\)
\(\Rightarrow\)x=\(\dfrac{-5}{6}\)-\(\dfrac{-15}{12}\)=\(\dfrac{-10}{12}\)-\(\dfrac{-15}{12}\)=\(\dfrac{-25}{12}\)
a)4/5+x=2/3
x=2/3-4/5
x=-2/15
b)-5/6-x=2/3
x=-5/6-2/3
x=-3/2
c)1/2x+3/4=-3/10
1/2x=-3/10-3/4
1/2x=-21/20
x=-21/20:1/2
x=-21/10
d)x/3-1/2=1/5
x/3=1/5+1/2
x/3=7/10
10x/30=21/30
10x=21
x=21:10
x=21/10
a)\(\dfrac{2}{15}x-x=30\%\)
<=>x\(\left(\dfrac{2}{15}-1\right)=\dfrac{30}{100}\)
<=>\(-\dfrac{13}{15}x=\dfrac{3}{10}\)
<=>x=\(\dfrac{3}{10}\cdot\left(-\dfrac{15}{13}\right)\)
<=>x=\(-\dfrac{9}{26}\)
Vậy tập nghiệm S={\(-\dfrac{9}{26}\)}
b)\(\dfrac{x}{2}\cdot\dfrac{x}{3}=\dfrac{5}{6}\)
<=>\(\dfrac{x^2}{6}=\dfrac{5}{6}\)
<=>x2=5
<=>x=\(_-^+\sqrt{5}\)
Vậy tập nghiệm S={\(_-^+\sqrt{5}\)}
a, \(\dfrac{2}{15}x-x=30\%\)
\(\Rightarrow\left(\dfrac{2}{15}-1\right)x=\dfrac{3}{10}\)
\(\Rightarrow\dfrac{-13}{15}x=\dfrac{3}{10}\)
\(\Rightarrow x=\dfrac{3}{10}.\dfrac{-15}{13}\)
\(\Rightarrow x=\dfrac{-9}{26}\)Lời giải:
b, \(\dfrac{x}{2}.\dfrac{x}{3}=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{x.x}{2.3}=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{x^2}{6}=\dfrac{5}{6}\)
\(\Rightarrow x^2=5\)
\(\Rightarrow x=\pm\sqrt{5}\)
\(\dfrac{30-x}{30}\) = \(\dfrac{5}{15}\)
\(\dfrac{30-x}{30}\) = \(\dfrac{1}{3}\)
30 - \(x\) = \(\dfrac{1}{3}\) \(\times\) 30
30 - \(x\) = 10
\(x\) =30 - 10
\(x\) = 20
\(\dfrac{x+30}{72}\) = \(\dfrac{5}{8}\)
\(x+30\) = \(\dfrac{5}{8}\) \(\times\) 72
\(x+30\) = 45
\(x\) = 45 - 30
\(x\) = 15
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