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a) \(\dfrac{25}{37}\times\dfrac{18}{29}+\dfrac{18}{29}\times\dfrac{12}{37}\)
\(=\dfrac{18}{29}\times\left(\dfrac{25}{37}+\dfrac{12}{37}\right)\)
\(=\dfrac{18}{29}\times\dfrac{37}{37}\)
\(=\dfrac{18}{29}\times1\)
\(=\dfrac{18}{29}\)
b) \(\dfrac{31}{85}\times\dfrac{11}{19}+\dfrac{31}{85}\times\dfrac{12}{19}-\dfrac{42}{19}\times\dfrac{31}{85}\)
\(=\dfrac{31}{85}\times\left(\dfrac{11}{19}+\dfrac{12}{19}-\dfrac{42}{19}\right)\)
\(=\dfrac{31}{85}\times\dfrac{-19}{19}\)
\(=\dfrac{31}{85}\times-1\)
\(=-\dfrac{31}{85}\)
c) \(\dfrac{16}{53}:\dfrac{17}{9}-\dfrac{16}{53}:\dfrac{17}{8}\)
\(=\dfrac{16}{53}:\left(\dfrac{9}{17}-\dfrac{8}{17}\right)\)
\(=\dfrac{16}{53}:\dfrac{1}{17}\)
\(=\dfrac{16}{901}\)
c) \(\dfrac{1}{5}\times\dfrac{12}{31}\times\dfrac{4}{3}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\dfrac{12}{31}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(\dfrac{12}{31}+\dfrac{19}{31}\right)\)
\(=\dfrac{4}{15}\times\dfrac{31}{31}\)
\(=\dfrac{4}{15}\times1\)
\(=\dfrac{4}{15}\)
a: =18/29*(25/37+12/37)
=18/29
b: =31/85(11/19+12/19-42/19)
=-31/85
c; =16/53(9/17+8/17)=16/53
d: =4/15(12/31+19/31)=4/15
\(4.S=\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{41.45}\)
\(4S=\frac{1}{5}-\frac{1}{6}+\frac{1}{9}-\frac{1}{13}+...+\frac{1}{41}-\frac{1}{45}\)
\(4S=\frac{1}{5}-\frac{1}{45}=\frac{8}{45}\)
\(S=\frac{8}{45}:4=\frac{2}{45}\)
\(S=\frac{1}{5.9}+\frac{1}{9.13}+\frac{1}{13.17}+...+\frac{1}{41.45}\)
\(\Rightarrow4S=\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}\)
\(\Rightarrow4S=\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{41}-\frac{1}{45}\)
\(\Rightarrow4S=\frac{1}{5}-\frac{1}{45}=\frac{8}{45}\Rightarrow S=\frac{8}{45}:4=\frac{2}{45}\)
~ Hok tốt ~
\(S=\dfrac{1}{5\cdot9}+\dfrac{1}{9\cdot13}+\dfrac{1}{13\cdot17}+....+\dfrac{1}{41\cdot45}\)
\(S=\dfrac{1}{4}\cdot\left(\dfrac{4}{5\cdot9}+\dfrac{4}{9\cdot13}+\dfrac{4}{13\cdot17}+....+\dfrac{4}{41\cdot45}\right)\)
\(S=\dfrac{1}{4}\cdot\left(\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{13}+\dfrac{1}{13}-\dfrac{1}{17}+....+\dfrac{1}{41}-\dfrac{1}{45}\right)\)
\(S=\dfrac{1}{4}\cdot\left(\dfrac{1}{5}-\dfrac{1}{45}\right)\)
\(S=\dfrac{1}{4}\cdot\dfrac{8}{45}=\dfrac{2}{45}\)
Các số hạng cách đều là 4:
số các số hạng : (x-1)/4 + 1
tổng của dãy: (x + 1 ). ((x-1)/4 +1) /2 = 780 => x= 77
HT
( x+1) + (x+2) +( x+3) +...+( x+9)+(x+10) = 85
\(x+1+x+2+x+3+...+x+9+x+10=85\)
\(10\times x+\left(1+2+3+...+9+10\right)=85\)
\(10\times x+\left[\left(1+10\right)\times10:2\right]=85\)
\(10\times x+55=85\)
\(10\times x=85-55\)
\(10\times x=30\)
\(x=30:10\)
\(x=3\)
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + .......... + ( x + 9 ) + ( x + 10) = 85
x . 10 + ( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 ) = 85
x . 10 + 55 = 85
x . 10 = 85 - 55
x . 10 = 30
x = 30 : 10
x = 3
Vậy x = 3
#)Giải :
\(\frac{2}{9}.\frac{5}{17}+\frac{2}{9}.\frac{13}{17}-\frac{2}{9}.\frac{1}{17}+2018\frac{7}{9}\)
\(=\frac{2}{9}\left(\frac{5}{17}+\frac{13}{17}-\frac{1}{17}\right)+2018\frac{7}{9}\)
\(=\frac{2}{9}.1+2018\frac{7}{9}\)
\(=\frac{2}{9}+2018\frac{7}{9}\)
\(=2018\frac{9}{9}=2019\)
#~Will~be~Pens~#
a)\(\frac{8}{3}\)
b)\(\frac{1}{5}=0,2\)
c)\(\frac{17}{135}\)
d)\(\frac{2}{3}\)
e)\(\frac{5}{2}=2,5\)
hacker mà ko làm dc bài này ha?? :))
(9+13+17+...+85)-(x+x+x+...+x) = 925
=> 760 - 20x = 925
20x = 925 + 760
20x = 1685
x = 1685 : 20
x = 84,25