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7 tháng 8

  Bài 1:

2\(x\) = 4

2\(^x\) = 22

 \(x=2\)

Vậy \(x=2\)

7 tháng 8

Bài 2:

2\(^x\) = 8

2\(^x\) = 23

\(x=3\)

Vậy \(x=3\)

18 tháng 4 2023

\(1,-\dfrac{4}{7}+\dfrac{2}{3}\times\dfrac{-9}{14}\)

\(=\dfrac{-4}{7}+\dfrac{-18}{42}\)

\(=\dfrac{-4\times6}{7\times6}+\dfrac{-18}{42}\)

\(=\dfrac{-20}{42}+\dfrac{-18}{42}\)

\(=-\dfrac{38}{42}\)

\(=-\dfrac{19}{21}\)

\(2,\dfrac{17}{13}-\left(\dfrac{4}{13}-11\right)\)

\(=\dfrac{17}{13}-\dfrac{4}{13}+11\)

\(=\dfrac{13}{13}+11\)

\(=1+11\)

\(=12\)

\(3,8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)

\(=\dfrac{58}{7}-\dfrac{31}{9}-\dfrac{30}{7}\)

\(=\dfrac{58}{7}-\dfrac{30}{7}-\dfrac{31}{9}\)

\(=\dfrac{28}{7}-\dfrac{31}{9}\)

\(=\dfrac{28\times9}{7\times9}-\dfrac{31\times7}{9\times7}\)

\(=\dfrac{252}{63}-\dfrac{217}{63}\)

\(=\dfrac{35}{63}\)

\(=\dfrac{5}{9}\)

\(5,\left(\dfrac{2}{3}-1\dfrac{1}{2}\right):\dfrac{4}{3}+\dfrac{1}{2}\)

\(=\left(\dfrac{2}{3}-\dfrac{3}{2}\right):\dfrac{4}{3}+\dfrac{1}{2}\)

\(=\left(\dfrac{2\times2}{3\times2}-\dfrac{3\times3}{2\times3}\right):\dfrac{4}{3}+\dfrac{1}{2}\)

\(=\left(\dfrac{4}{6}-\dfrac{9}{6}\right):\dfrac{4}{3}+\dfrac{1}{2}\)

\(=\dfrac{-5}{6}:\dfrac{4}{3}+\dfrac{1}{2}\)

\(=\dfrac{-5}{6}\times\dfrac{3}{4}+\dfrac{1}{2}\)

\(=\dfrac{-15}{24}+\dfrac{1}{2}\)

\(=\dfrac{-15}{24}+\dfrac{1\times12}{2\times12}\)

\(=\dfrac{-15}{24}+\dfrac{12}{24}\)

\(=\dfrac{-3}{24}\)

\(=-\dfrac{1}{8}\)

\(6,\dfrac{-5}{13}+\dfrac{2}{5}+\dfrac{-8}{13}+\dfrac{3}{5}-\dfrac{3}{7}\)

\(=\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)-\dfrac{3}{7}\)

\(=\dfrac{-13}{13}+\dfrac{5}{5}-\dfrac{3}{7}\)

\(=-1+1-\dfrac{3}{7}\)

\(=-\dfrac{3}{7}\)

\(7,\dfrac{6}{5}\times\dfrac{3}{7}+\dfrac{6}{5}:\dfrac{7}{10}+\dfrac{6}{5}\)

\(=\dfrac{6}{5}\times\dfrac{3}{7}+\dfrac{6}{5}\times\dfrac{10}{7}+\dfrac{6}{5}\)

\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+1\right)\)

\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+\dfrac{1\times7}{1\times7}\right)\)

\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+\dfrac{7}{7}\right)\)

\(=\dfrac{6}{5}\times\dfrac{20}{7}\)

\(=\dfrac{120}{35}\)

\(=\dfrac{24}{7}\)

 

28 tháng 3 2022
72-8/3 bằng bao nhiêu số tự nhiên
20 tháng 2 2020

a) (125 -679 + 145 ) - ( 125 - 679 )=125 -679+145-125+679=145

b)(x - 29 ) - ( 17 - 38 ) = -9

<=> x-29 -17+38=-9

<=>x=-1

c)( x + 5 ) + ( x - 9 ) = x + 2

<=>x+5+x-9=x+2

<=>x+x-x=2+9-5

<=>x=6

d) ( 27 - x )+ ( 15 + x ) = x - 24 

<=> 27-x+15+x-x=-24

<=> -x=-66

<=>x=66

e) -359 + 181 + ( -123 ) + 350 + ( -172 ) =  (181 +350)-(359+172) -123  =531-531-123=-123

f) 13 - 12 + 11 + 10 - 9 + 8 - 7 -6 + 5 - 4 + 3 + 2 -1=( 13 - 12) +11 + (10 - 9)+(8-7)-6+(5-4)+3+(2-1)=1+11+1+1-6+1+3+1=13

20 tháng 2 2020

a, (125 -679 + 145 ) - ( 125 - 679 )

= 125 - 679 + 145 - 125 + 679 

= ( 125 - 125 ) + ( -679 + 679 ) + 145

= 0 + 0 +145

= 145

b, (x - 29 ) - ( 17 - 38 ) = -9

x - 29 - 17 + 38        = -9

x - 29 - 17                = -9 - 38   

 x - 29 - 17               = -47

x - 29                       = -47 + 17

x - 29                       = -30

x                              = -30 + 29

x                              = -1

Vậy x = -1

c, ( x + 5 ) + ( x - 9 ) = x + 2

x + 5 + x - 9          = x + 2 

x - x + 14              = x + 2 

14                          =  x + 2

x                            = 14 - 2 

x                            = 12

Vậy x = 12

d, ( 27 - x )+ ( 15 + x ) = x - 24 

27 - x + 15 + x         = x - 24

42 + ( -x + x )           = x - 24

42                            = x - 24

x                              = 24 + 42

x                              = 66

Vậy x = 66

e, -359 + 181 + ( -123 ) + 350 + ( -172 ) 

= ( -359 + 350 ) + [ 181 + ( -172 ) ] + ( -123)

= (-9) + 9 + ( -123 )

= 0 + ( -123)

= (-123)

g , 13 - 12 + 11 + 10 - 9 + 8 - 7 -6 + 5 - 4 + 3 + 2 -1

= ( 13 - 12 ) + ( 10 - 9 ) + ( 8 - 7 ) + ( 5 - 4 ) + ( 2 - 1 ) + ( 11 - 6 + 3)

= 1 + 1 + 1 + 1 + 1 + 8

= 1. 5 + 8

= 5 + 8

= 13

8 tháng 1 2020

a) \(-65-\left(x+15\right)+105=0\)

\(-65-\left(x+15\right)=-105\)

\(x+15=-65-\left(-105\right)\)

\(x+15=40\)

\(x=25\)

b) |-6| + (-9) - (x+1) = 7

-3- (x+1) =7

       x+1  = -10

       x      = -11

c)\(\left|5-x\right|+\left(-25+7\right)=-3-\left(-10\right)\)

    \(\left|5-x\right|+\left(-18\right)=7\)

    \(\left|5-x\right|=25\)

\(\Rightarrow\orbr{\begin{cases}5-x=25\\5-x=-25\end{cases}\Rightarrow\orbr{\begin{cases}x=-20\\x=30\end{cases}}}\)

d) \(28-\left|x+6\right|+\left(-2\right)=0\)

\(28-\left|x+6\right|=2\)

\(\left|x+6\right|=26\)

\(\Rightarrow\orbr{\begin{cases}x+6=26\\x+6=-26\end{cases}\Rightarrow\orbr{\begin{cases}x=20\\x=-32\end{cases}}}\)

e) \(x-\left(13-15\right)=5+\left(10-x\right)-\left(-1\right)\)

\(x+2=5+10-x+1\)

\(x+2=16-x\)

\(x+x=16-2\)

\(2x=14\)

\(x=7\)

f) \(-120-\left(x-5\right)=125\)

\(x-5=-120-125\)

\(x-5=-245\)

\(x=-240\)

g) \(10-\left(-5+2\right)+\left(-9\right)=\left(-20+7\right)-x\)

\(-16=-13-x\)

\(x=-13+16\)

\(x=3\)

1: =-2/9(15/17+2/17)=-2/9

2: \(=\dfrac{-6}{3}+\dfrac{-21}{90}\)

=-2-7/30=-67/30

3: \(=\dfrac{3}{4}\cdot\dfrac{7}{5}+\dfrac{9}{7}\cdot\dfrac{3}{2}\)

=21/20+27/14=417/140

4: =-25/13(5/19+14/19)=-25/13

5: =-7/5-45/21=-7/5-15/7=-124/35

10 tháng 7 2023

1: =-2/9(15/17+2/17)=-2/9

2: =−63+−2190=−63+−2190

=-2-7/30=-67/30

3: =34⋅75+97⋅32=34⋅75+97⋅32

=21/20+27/14=417/140

4: =-25/13(5/19+14/19)=-25/13

5: =-7/5-45/21=-7/5-15/7=-124/35

6 tháng 5 2019

1. 

a) \(\frac{13}{8}:\frac{13}{4}=\frac{1}{2}=0,5=50\%\)

b) \(12,5:2,5=5=500\%\)

~ Hok tốt ~

6 tháng 5 2019

2.

\(\left(\frac{37}{9}+\frac{13}{4}\right).\frac{9}{4}+\frac{11}{4}\)

\(=\frac{265}{36}.\frac{9}{4}+\frac{11}{4}\)

\(=\frac{265}{16}+\frac{11}{4}\)

\(=\frac{309}{16}\)

\(1+\left(\frac{9}{10}-\frac{4}{5}\right):\frac{19}{6}\)

\(=1+\frac{1}{10}:\frac{19}{6}\)

\(=1+\frac{3}{95}\)

\(=\frac{98}{95}\)

\(\left(-7+\left|13\right|\right)-\left(13-\left|-7\right|-25\right)-\left(25+\left|-10\right|-9\right)\)

\(=\left(-7+13\right)-\left(13-7-25\right)-\left(25+10-9\right)\)

\(=-7+13-13+7+25-25-10+9\)

\(=\left(-7+7\right)+\left(13-13\right)+\left(25-25\right)-10+9\)

\(=0+0+0-10+9\)

\(=-10+9\)

\(=-1\)

~ Hok tốt ~

19 tháng 5 2022

tách đi bạn

19 tháng 5 2022

a) (2x - 3)(6 - 2x) = 0

=> \(\left[{}\begin{matrix}2x-3=0\\6-2x=0\end{matrix}\right.=>\left[{}\begin{matrix}2x=3\\2x=6\end{matrix}\right.=>\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=3\end{matrix}\right.\)

b) \(5\dfrac{4}{7}:x=13=>\dfrac{39}{7}:x=13=>x=\dfrac{39}{7}:13=>x=\dfrac{3}{7}\)

c) \(2x-\dfrac{3}{7}=6\dfrac{2}{7}=>2x-\dfrac{3}{7}=\dfrac{44}{7}=>2x=\dfrac{47}{7}=>x=\dfrac{47}{14}\)

d) \(\dfrac{x}{5}+\dfrac{1}{2}=\dfrac{6}{10}=>\dfrac{x}{5}=\dfrac{6}{10}-\dfrac{1}{2}=>\dfrac{x}{5}=\dfrac{1}{10}=>x.10=5=>x=\dfrac{1}{2}\)

e) \(\dfrac{x+3}{15}=\dfrac{1}{3}=>\left(x+3\right).3=15=>x+3=5=>x=2\)