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\(\dfrac{93}{17}:x+\dfrac{-4}{17}:x+\dfrac{22}{3}:\dfrac{52}{3}=\dfrac{4}{11}\)
\(\Rightarrow\)\((\dfrac{93}{17}+\dfrac{-4}{17}):x+\dfrac{11}{26}=\dfrac{4}{11}\)
\(\Rightarrow\)\(\dfrac{89}{17}:x+\dfrac{11}{26}=\dfrac{4}{11}\)
\(\Rightarrow\)\(\dfrac{89}{17}:x=\dfrac{4}{11}-\dfrac{11}{26}\)
\(\Rightarrow\)\(\dfrac{89}{17}:x=\dfrac{-17}{286}\)
\(\Rightarrow\)\(x=\dfrac{89}{17}:\dfrac{-17}{286}\)
\(\Rightarrow\)\(x=\dfrac{-25454}{289}=-88\dfrac{22}{289}\)
Bài 2:
a) 37 x 7 - 17 x 11 + 13 x 37 + 17 x 21
b) 55 x 52 : 54 - 28 : 24
c) 311 x 12 + 312 x 5 - 314
`#040911`
`a)`
\(37 \times 7 - 17 \times 11 + 13 \times 37 + 17 \times 21\)
`= 37 \times (7 + 13) + 17 \times (21 - 11)`
`= 37 \times 20 + 17 \times 10`
`= 10 \times (37 \times 2 + 17)`
`= 10 \times 91`
`= 910`
`b)`
\(5^5 \times 5^2 \div 5^4 - 2^8 \div 2^4\)
`=`\(5^{5+2-4}-2^{8-4}\)
`= 5^3 - 2^4`
`= 125 - 16`
`= 109`
`c)`
\(3^{11}\times12+3^{12}\times5-3^{14}\)
`=`\(3^{11}\times\left(12+3\times5-3^3\right)\)
`=`\(3^{11}\times\left(12+15-27\right)\)
`=`\(3^{11}\times0=0\)
a) = 259 - 187 + 481 + 357
= 910
b) = 57 : 54 - 24
= 53 - 24
= 125 - 16
= 109
\(\left[\left(\frac{40}{130}-\frac{12}{13}\right)\times40\%+0,15\right]:\frac{-5}{52}\)
\(=\left[\left(\frac{4}{13}-\frac{12}{13}\right)\times\frac{40}{100}+\frac{15}{100}\right]:\frac{-5}{52}\)
\(=\left[\frac{-8}{13}\times\frac{2}{5}+\frac{3}{20}\right]\times\frac{-52}{5}\)
\(=\left[-\frac{16}{65}+\frac{3}{20}\right]\times\frac{-52}{5}=-\frac{5}{52}\times\left(-\frac{52}{5}\right)=1\)
g) (15 + 37) + (52 – 37 – 17) = 15 + 37 + 52 – 37 – 17 = 15 + 52 – 17 = 50 h) (38 – 42 +14) - (38 – 42 - 15) = 38 – 42 +14 - 38 + 42 + 15 = 14 + 15 = 29 i) (27 + 65 ) + (346 - 27- 65) = 27 + 65 + 346 - 27- 65 = 346 k) - (27 + 65) - (346 – 27 - 65) = -27 - 65 - 346 + 27 + 65 = -346 l) (42 – 69 + 17) - (42 + 17) = 42 – 69 + 17 - 42 - 17 = – 69 m) 24. (16 - 5) – 16. (24 – 5 ) = 24. 16 - 24 . 5 - 16 . 24 + 16. 5 = - 24 . 5 + 16. 5 = -8 . 5 = -40 n) (-12). 47 – 12 . 52 + (-12) = -12 (47 - 52 + 1) = -12 . (-4) = 48 p) 51 . (69 - 25) – 69. (51 - 25) = 51 . 69 - 51 . 25 – 69. 51 + 69. 25 = - 51 . 25 + 69. 25 = (- 51+ 69).25 = 450 |
a: \(\left|x\right|-\dfrac{38}{7}\left|x\right|-\dfrac{3}{4}=2\left|x\right|-\dfrac{8}{7}\)
\(\Leftrightarrow\left|x\right|\cdot\dfrac{-45}{7}=-\dfrac{8}{7}+\dfrac{3}{4}=\dfrac{-32+21}{28}=\dfrac{-11}{28}\)
=>|x|=11/180
=>x=11/180 hoặc x=-11/180
b: \(\Leftrightarrow x\cdot\dfrac{13}{4}-\dfrac{7}{6}x=\dfrac{5}{12}+\dfrac{5}{3}\)
=>25/12x=25/12
hay x=1
12+40:(17-x)=52
=>40:(17-x)=40
=>17-x=40:40=1
=>x=17-1=16
40:( 17-x)=40
17-x=40: 40
17-x=1
x=17-1
x=16