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20 tháng 4 2022

B

20 tháng 4 2022

B

17 tháng 12 2022

a: x=77+50=127

b:x=80-49=31

c: x=50/450=1/9

d: =>159-25+x=43

=>x+134=43

=>x=-91

e: =>5(2x-1)=55

=>2x-1=11

=>2x=12

=>x=6

f: =>48:x=16

=>x=3

g: =>\(x\inƯC\left(36;40\right)\)

mà x<4

nên \(x\in\left\{1;2\right\}\)

h: =>\(x\inƯC\left(24;160\right)\)

mà x>2

nên \(x\in\left\{4;8\right\}\)

i: =>5^x*625=5^25

=>5^x=5^23

=>x=23

17 tháng 12 2022

Mik cảm ơn ạ

7 tháng 3 2022

c)\(\left(1+\dfrac{1}{2}\right)\left(1+\dfrac{1}{3}\right)\left(1+\dfrac{1}{4}\right)....\left(1+\dfrac{1}{2020}\right)\left(1+\dfrac{1}{2021}\right)\)

\(=\left(\dfrac{1.2}{1.2}+\dfrac{1}{2}\right)\left(\dfrac{1.3}{1.3}+\dfrac{1}{3}\right)...\left(\dfrac{1.2021}{1.2021}+\dfrac{1}{2021}\right)\)

\(=\dfrac{3}{1.2}\cdot\dfrac{4}{1.3}\cdot\cdot\cdot\cdot\dfrac{2022}{1.2021}\)

\(=\dfrac{3.4.5...2022}{\left(1.1.1....1\right)\left(2.3.4...2021\right)}\)

\(=\)\(\dfrac{3.4.5...2022}{2.3.4...2021}\)

\(=\dfrac{2022}{2}=1011\)

\(d\))\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)....\left(1-\dfrac{1}{199}\right)\left(1-\dfrac{1}{200}\right)\)

\(=\left(\dfrac{2}{1.2}-\dfrac{1}{1.2}\right)\left(\dfrac{3}{1.3}-\dfrac{1}{1.3}\right)....\left(\dfrac{200}{1.200}-\dfrac{1}{1.200}\right)\)

\(=\dfrac{1.2.3....199}{\left(1.1.1....1\right).\left(2.3.4....200\right)}\)

\(=\dfrac{1.2.3...199}{2.3.4...200}\)

Nếu mik làm sai mong bạn thông cảm

7 tháng 3 2022

ý d đáp án là\(\dfrac{1}{200}\) mình quên ghi

a: =>x=13/52+8/52=21/52

b: =>x=1/36-27/36=-26/36=-13/18

c: =>x=24/60+15/60-20/60=19/60

d: =>x/15=9/15-10/15=-1/15

=>x=-1

23 tháng 1 2022

a, x = 21/52 ; b x = -13/18 

c, x = 19/60 ; d, x = -1 

 

5 tháng 2 2023

`x-2/3=3/4`

`=>x=3/4 + 2/3`

`=> x= 9/12 + 8/12`

`=>x= 17/12`

5 tháng 2 2023

\(x-\dfrac{2}{3}=\dfrac{3}{4}\)

\(x=\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}\)

\(x=\dfrac{17}{12}\)

2 tháng 1 2023

2^2.3^1-(1^2021+2021^2) : (-2)

= 4.3-(1+4084441 ) : (-2)

= 12-4084442:(-2)

= 12-(-2042221)

= 20421133

15 tháng 3 2022

Câu 6: D

Câu 7: B

10 tháng 11 2023

\(A=7+7^2+7^3+7^4+7^5+7^6+7^7+7^8\)

\(A=\left(7+7^3\right)+\left(7^2+7^4\right)+\left(7^5+7^7\right)+\left(7^6+7^8\right)\)

\(A=7\cdot\left(7+7^2\right)+7^2\cdot\left(1+7^2\right)+7^5\cdot\left(1+7^2\right)+7^6\cdot\left(1+7^2\right)\)

\(A=7\cdot50+7^2\cdot50+7^5\cdot50+7^6\cdot50\)

\(A=50\cdot\left(7+7^2+7^5+7^6\right)\)

\(A=5\cdot10\cdot\left(7+7^2+7^5+7^6\right)\)

Ta có: 5 ⋮ 5

⇒ \(A=5\cdot10\cdot\left(7+7^2+7^5+7^6\right)\) ⋮ 5 (đpcm) 

10 tháng 11 2023

A = 7 + 72 + 73 + 74 + 75 + 76 + 77 + 78

A =  (7 + 73) + (72+ 74) + (75 + 77) + (76 + 78)

A = 7.(1 + 72)  + 72.(1 + 72) + 75.(1 + 72) + 76.(1 + 72)

A = 7.( 1 + 49) + 72.( 1 + 49) + 75.(1 + 49) + 76. (1 + 49)

A = 7.50 + 72.50 + 75.50 + 76.50

A = 50.(7 + 72 + 75 + 76)

Vì 50 ⋮ 5 nên A = 50.(7 + 72 + 76) ⋮ 5 đpcm

Ta có \(\dfrac{1}{1.3}\)+\(\dfrac{1}{3.5}\)+\(\dfrac{1}{5.7}\)+...+\(\dfrac{1}{49.51}\)

         =\(\dfrac{2}{2}\).(\(\dfrac{1}{1.3}\)+\(\dfrac{1}{3.5}\)+\(\dfrac{1}{5.7}\)+...+\(\dfrac{1}{49.51}\))

         =\(\dfrac{1}{2}\).(\(\dfrac{2}{1.3}\)+\(\dfrac{2}{3.5}\)+\(\dfrac{2}{5.7}\)+...+\(\dfrac{2}{49.50}\))

         =\(\dfrac{1}{2}\).(1-\(\dfrac{1}{3}\)+\(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{49}-\dfrac{1}{51}\))

         =\(\dfrac{1}{2}\).(\(1-\dfrac{1}{51}\))

         =\(\dfrac{1}{2}\).\(\dfrac{50}{51}\)

         =\(\dfrac{25}{51}\)

Ta có: \(\dfrac{1}{1\cdot3}+\dfrac{1}{3\cdot5}+...+\dfrac{1}{49\cdot51}\)

\(=\dfrac{1}{2}\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+...+\dfrac{2}{49\cdot51}\right)\)

\(=\dfrac{1}{2}\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{49}-\dfrac{1}{51}\right)\)

\(=\dfrac{1}{2}\left(1-\dfrac{1}{51}\right)\)

\(=\dfrac{1}{2}\cdot\dfrac{50}{51}=\dfrac{25}{51}\)