(-7).(2).(-5.8
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a)2/13 . 5 - 9/11 . 2/13 - 7/11 . 2/13
=2/13.(5-9/11-7/11)
=2/13.39/11
=6/11.
b)(-1/2)2 + 4,25
=1/4+4,25
=1/4+17/4
=9/2.
c)(-2/3)2 : ( --2 2/3) -- ( 5/8 -- 5/6 ) + 5.8--45/5.8
= -4/3 : -8/3 - -5/24 + 40 - 72
= -751/24.
A =\(\dfrac{7}{3.4}\) + \(\dfrac{7}{4.6}\) + \(\dfrac{7}{5.8}\) + \(\dfrac{7}{6.10}\)+...+\(\dfrac{7}{60.118}\)
A = \(\dfrac{2.7}{2.3.4}\) + \(\dfrac{2.7}{2.4.6}\)+\(\dfrac{2.7}{2.5.8}\) + \(\dfrac{2.7}{2.6.10}\)+...+\(\dfrac{2.7}{2.60.118}\)
A = 7.(\(\dfrac{2}{6.4}\)+\(\dfrac{2}{8.6}\)+\(\dfrac{2}{10.8}\)+\(\dfrac{2}{12.10}\)+...+\(\dfrac{2}{120.118}\))
A = 7.(\(\dfrac{2}{4.6}\)+\(\dfrac{2}{6.8}\)+\(\dfrac{2}{8.10}\)+\(\dfrac{2}{10.12}\)+...+\(\dfrac{2}{118.120}\))
A = 7.(\(\dfrac{1}{4}-\dfrac{1}{6}\)+ \(\dfrac{1}{6}-\dfrac{1}{8}\) +\(\dfrac{1}{8}\) - \(\dfrac{1}{10}\) + \(\dfrac{1}{10}\) - \(\dfrac{1}{12}\) +...+ \(\dfrac{1}{118}\) - \(\dfrac{1}{120}\))
A = 7.( \(\dfrac{1}{4}\) - \(\dfrac{1}{120}\))
A = 7.\(\dfrac{29}{120}\)
A = \(\dfrac{203}{120}\)
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{7}{5}\cdot\dfrac{8}{19}+\dfrac{7}{5}\cdot\dfrac{12}{19}-\dfrac{7}{5}\cdot\dfrac{1}{18}\)
`=`\(\dfrac{7}{5}\cdot\left(\dfrac{8}{19}+\dfrac{12}{19}-\dfrac{1}{18}\right)\)
`=`\(\dfrac{7}{5}\cdot\left(\dfrac{20}{19}-\dfrac{1}{18}\right)\)
`=`\(\dfrac{7}{5}\cdot\dfrac{341}{342}=\dfrac{2387}{1710}\)
a) 2/2.5 + 2/5.8 + 2/8.11 + ... + 2/x(x+3) = 7/23
3/2.5 + 3/5.8 + 3/8.11 + ... + 3/x(x+3) = 21/46
1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + ... + 1/x - 1/x+1 = 21/46
1/2 - 1/x+1 = 21/46
=> 1/x+1 = 1/23
=> x + 1 = 23
=> x = 22
Vậy x = 22.
b) 3/4 . x - 1/5 = 7/4 . x + 11/5
3/4 . x - 7/4 . x = 1/5 + 11/5
x (3/4 - 7/4) = 12/5
-x = 12/5
x = -12/5
Vậy x = -12/5.
a) \(110 – 7^2 + 22:2\) = \(110 – 49 + 11 = 61 + 11 = 72\)
b) \(9.(8^2 – 15)= 9.(64 – 15 ) = 9.49 = 441\)
c) \(5.8 – (17 + 8):5 = 40 – 25:5 = 40 – 5 = 35\)
d) \( 75:3 + 6.9^2= 25 + 6.81 = 25 + 486 = 511\)
Đặt \(A=\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+...+\frac{3}{32.35}\)
\(A=\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+...+\frac{1}{32}-\frac{1}{35}\)
\(A=\frac{1}{5}-\frac{1}{35}=\frac{6}{35}\)
\(\Rightarrow x+\frac{6}{35}=-\frac{2}{7}\Rightarrow x=-\frac{2}{7}-\frac{6}{35}=-\frac{16}{35}\)
Có:495.810/147.49.413=710.230/233.79=7/8 7/10-7/12+7/5 / 8/10-8/12+8/5=7(1/10-1/12+1/5) / 8(1/10-1/12+1/5)=7/8 =>A=7/8-7/8=0 xin lỗi nha mik ghi hơi khó hiểu chút vì mik mới dùng online math.HOK TỐT
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