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a: =>4x-5=0 hoặc 5/4x-2=0
=>x=5/4 hoặc x=2:5/4=2*4/5=8/5
b: =>(1/12+19/6-30,75)*x-8=102
=>-55/2x=110
=>x=-4
Ta làm vế kia trước:
\(\left(\frac{3}{5}+0,415+\frac{1}{200}\right):0,01=\left(\frac{3}{5}+\frac{83}{200}+\frac{1}{200}\right):0,01\)
\(=\left(\frac{120}{200}+\frac{83}{200}+\frac{1}{200}\right):0,01\)
\(=\frac{204}{200}:\frac{1}{100}=\frac{51}{50}.100=102\)
=> \(\left(\frac{1}{12}+\frac{19}{6}-30,75\right).x-8=102\)
\(\left(\frac{1}{12}+\frac{19}{6}-\frac{123}{4}\right).x=102+8=110\)
\(\left(\frac{1}{12}+\frac{38}{12}-\frac{369}{12}\right).x=110\)
\(-\frac{330}{12}.x=110\)
\(-\frac{55}{2}.x=110\)
\(x=110:-\frac{55}{2}=110.-\frac{2}{55}=-4\)
**** CHO MK NHA , TKS ^^
\(\left(\dfrac{1}{12}+\dfrac{19}{6}-\dfrac{123}{4}\right).x-8=\left(\dfrac{3}{5}+\dfrac{83}{200}+\dfrac{1
}{200}\right)\): \(\dfrac{1}{100}\)
\(\dfrac{-53}{2}\) . x - 8 = \(\dfrac{51}{50}\): \(\dfrac{1}{100}\)
\(\dfrac{-53}{2}.x-8=\)102
\(\dfrac{-53}{2}\).x = 102 + 8
\(\dfrac{-53}{2}\).x = 110
x = 110 : \(\dfrac{-53}{2}\)
x = \(\dfrac{-204}{53}\)
\((\dfrac{1}{12}+3\dfrac{1}{6}-30,75)x-8=\left(\dfrac{3}{5}+0,415+\dfrac{1}{200}\right):0,01\)
\(\dfrac{-55}{2}.x-8=\dfrac{51}{50}:0,01\)
\(\dfrac{-55}{2}.x-8=102\)
\(\dfrac{-55}{2}.x=110\)
\(x=-4\)
Ta có:
= (0,6 + 0,415 + 0,005) : 0,01 = 1,02 : 0,01 = 102.
Biểu thức trở thành:
Vậy x = -4.
\(M=\left(\frac{3}{5}+0,415\right)+\frac{1}{200}\div0,01\)
\(M=\left(\frac{3}{5}+\frac{83}{200}\right)+\frac{1}{200}\div\frac{1}{100}\)
\(M=\frac{203}{200}+\frac{1}{200}\div\frac{1}{100}\)
\(M=\frac{203}{200}+\frac{1}{2}\)
\(M=\frac{303}{200}\)
\(N=30,75+\frac{1}{12}+3\frac{1}{6}\)
\(N=\frac{123}{4}+\frac{1}{12}+\frac{19}{6}\)
\(N=\frac{185}{6}+\frac{19}{6}\)
\(N=34\)
a) \(\dfrac{-0.8:\left(\dfrac{4}{5}\cdot1.25\right)}{0.64-\dfrac{1}{5}}=\dfrac{\dfrac{-4}{5}:\left(\dfrac{4}{5}\cdot\dfrac{5}{4}\right)}{\dfrac{16}{25}-\dfrac{1}{5}}=\dfrac{\dfrac{-4}{5}:1}{\dfrac{16}{25}-\dfrac{5}{25}}=\dfrac{\dfrac{-4}{5}}{\dfrac{11}{25}}=\dfrac{-4}{5}\cdot\dfrac{25}{11}=\dfrac{-20}{11}\)
b) \(\left(13.71-1\dfrac{5}{6}\right)\cdot6-6\cdot13\cdot17=\left(\dfrac{1371}{100}-\dfrac{11}{6}\right)\cdot6-6\cdot13\cdot17=\dfrac{3563}{300}\cdot6-6\cdot13\cdot17=\dfrac{3563}{50}-6\cdot13\cdot17=\dfrac{3563}{50}-1326=\dfrac{-62737}{50}\)
c) \(\dfrac{\left(\dfrac{3}{5}+0.415+\dfrac{1}{200}\right):0.01}{30.75+\dfrac{1}{12}+3\dfrac{1}{6}}=\dfrac{\left(\dfrac{3}{5}+\dfrac{83}{200}+\dfrac{1}{200}\right):\dfrac{1}{100}}{\dfrac{123}{4}+\dfrac{1}{12}+\dfrac{19}{6}}=\dfrac{\dfrac{51}{50}:\dfrac{1}{100}}{34}=\dfrac{102}{34}=3\)
\(\left(\dfrac{1}{2}+\dfrac{19}{6}-30,75\right).x-8=\left(\dfrac{3}{5}+0,415+\dfrac{1}{200}\right):0.01\)
\(\left(\dfrac{1}{2}+\dfrac{19}{6}-\dfrac{123}{4}\right).x-8=\left(\dfrac{3}{5}+\dfrac{83}{200}+\dfrac{1}{200}\right):\dfrac{1}{100}\)
\(\dfrac{-325}{12}.x-8=\dfrac{51}{50}:\dfrac{1}{100}\)
\(\dfrac{-325}{12}.x-8=102\)
\(\dfrac{-325}{12}.x=102+8\)
\(\dfrac{-325}{12}.x=110\)
\(x=110:\dfrac{-325}{12}\)
\(x=\dfrac{-264}{65}\)