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`2/[1xx5]+2/[5xx9]+2/[9xx13]+....+2/[93xx97]+2/[97xx101]`
`=1/2xx(4/[1xx5]+4/[5xx9]+4/[9xx13]+....+4/[93xx97]+4/[97xx101])`
`=1/2xx(1-1/5+1/5-1/9+1/9-1/13+...+1/93-1/97+1/97-1/101)`
`=1/2xx(1-1/101)`
`=1/2xx100/101`
`=50/101`
Ta có: \(\left(1-\frac{1}{1007}\right)\times\left(1-\frac{1}{1008}\right)\times...\times\left(1-\frac{1}{1011}\right)\times\left(1-\frac{1}{1012}\right)\)
\(=\frac{1006}{1007}\times\frac{1007}{1008}\times...\times\frac{1010}{1011}\times\frac{1011}{1012}\)
\(=\frac{1006}{1012}=\frac{503}{506}\)
\(\left(1-\frac{1}{1007}\right)\cdot\left(1-\frac{1}{1008}\cdot\right)...\cdot\left(1-\frac{1}{1011}\right)\cdot\left(1-\frac{1}{1012}\right)\)
\(=\frac{1006}{1007}\cdot\frac{1007}{1008}\cdot...\cdot\frac{1010}{1011}\cdot\frac{1011}{1012}\)
\(=\frac{1006.1007\cdot..\cdot2010\cdot2011}{1007\cdot1008\cdot....\cdot1011.1012}\)
\(=\frac{1006}{1012}\)
\(=\frac{503}{506}\)
460 + 85 x 4 = x + 175/5 + 30
460 + 340 = x + 35 + 30
800 = x + 65
x = 800 - 65
x = 735
460 + 85 x 4 = x + 175/5 + 30
460 + 340 = x + 35 + 30
800 = x + 65
x = 800 - 65
x = 735
\(19,95\times2000+4001\times39,90-19,95\times2\)
\(=19,95\times2000+4001\times2\times19,95-19,95\times2\)
\(=19,95\times2000+8002\times19,95-19,95\times2\)
\(=19,95\times\left(2000+8002-2\right)\)
\(=19,95\times10000\)
\(=199500\)
= 19,95 x 2 x 1000 + 4001 x 39,90 - 19,95 x 2
= 39,90 x 1000 + 4001 x 39,90 - 39,90
= 39,90 x (1000 + 4001 - 1)
= 39,90 x 5000
= 19,95 x 2 x 5000
= 19,95 x 10000
= 199500
\(50\%+\dfrac{1}{2}+\dfrac{1}{7}\times\dfrac{2}{5}+\dfrac{1}{7}\times\dfrac{3}{5}\)
\(=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{2}{35}+\dfrac{3}{35}\)
\(=1+\dfrac{5}{35}\)
\(=1+\dfrac{1}{7}\)
\(=\dfrac{8}{7}\)
\(50\%+\dfrac{1}{2}+\dfrac{1}{7}x\dfrac{2}{5}+\dfrac{1}{7}x\dfrac{3}{5}\)
\(=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{7}x\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)
\(=1+\dfrac{1}{7}x1\)
\(=\dfrac{7}{7}+\dfrac{1}{7}=\dfrac{8}{7}\)
50% + 1/2 + 1/7 × 2/5 + 1/7 × 3/5
= 1/2 + 1/2 + 1/7 × (2/5 + 3/5)
= 1 + 1/7 × 1
= 1 + 1/7
= 7/7 + 1/7
= 8/7
a) C1: 8/15 : 4/5 + 7/15 : 4/5 C2: 8/15 : 4/5 + 7/15 : 4/5
= (8/15 + 7/15) :4/5 = 2/3 + 7/12
= 1 : 4/5 =5/4
= 5/4
b) C1: (5,8 + 4,7) : 0,25 C2: (5,8 + 4,7) : 0,25
= 10,5 : 0,25 = 5,8 : 0,25 + 4,7 : 0,25
= 42 = 23,2 + 18,8
= 42
c)C1: (7/3 - 2/3) : 4/9 C2: (7/3 - 2/3) : 4/9
= 5/3 : 4/9 = 7/3 : 4/9 - 2/3 : 4/9
= 15/4 = 21/4 - 3/2
= 15/4
d) C1: 0,08 : 0,16 - 0,04 : 0,16 C2: 0,08 : 0,16 - 0,04 : 0,16
= 1/2 - 1/4 = (0,08 - 0,04) : 0,16
= 1/4 = 0,04 : 0,16
=1/4
Nhớ k mình nha
\(2023^2-2023\cdot2022\)
\(\Leftrightarrow2023\cdot2023-2023\cdot2022\)
\(\Leftrightarrow2023\left(2023-2022\right)\)
\(=2023\)
\(2023^2-2023\cdot2022\\ =2023.2023-2023.2022\\ =2023.\left(2023-2022\right)\\\\ =2023.1\\ =2023\)