Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)12 x 18 + 14 x 3 - 255 : 17=25.58823529411765
b)68 + 42 x 5 - 625 : 25=5182
c) 13+ 21 x 5 - (198 : 11 - 8)=108
d) 1188 - 4 x (27 + 90 + 73 :10 )=
e) 5 + 8 + 11 + 14 +......+ 38 + 41=
f) 51 - 49 + 55 - 53 + 59 - 56 + 63 - 61 + 65=74
có mấy câu mình ko biết,xin lỗi bạn
#)Giải :
Câu 1 :
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\left(x+1\right):2}=\frac{2009}{2011}\)
\(=\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\left(x+1\right)}=2\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{x\left(x+1\right)}\right)\)
\(=2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x\left(x+1\right)}\right)=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{x+1}\right)=1-\frac{2}{x+1}=\frac{2009}{2011}\Rightarrow x=2010\)
Câu 1 :
= ( 1/2 x 4 x 6 ) + ( 1/4 x 6 x 8 ) + ( 1/6 x 8 x 10 ) + ( 1/8 x 10 x 12 ) + ( 110 x 12 x 14 )
= 12 + 12 + 12 + 12 + 12 hay 12 x 5
= 60
Câu 2 :
= 1 - 1/90
= 89/90
Câu 3 :
= 1 - 1/48
= 47/48
Câu 4 :
= 1 - 1/1280
= 1279/1280
Câu 2 mk chưa chắc chắn lắm ! với lại mk hết lượt rồi ! thông càm nha bn !
1.
a) \(\frac{6}{15}+\frac{6}{35}+\frac{6}{63}+\frac{6}{99}+\frac{6}{143}\)
\(=\frac{6}{3.5}+\frac{6}{5.7}+\frac{6}{7.9}+\frac{6}{9.11}+\frac{6}{11.13}\)
\(=\frac{6}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{11}-\frac{1}{13}\right)\)
\(=\frac{6}{2}\left(\frac{1}{3}-\frac{1}{13}\right)\)
\(=\frac{6}{2}.\frac{10}{39}\)
\(=\frac{10}{13}\)
b) \(\frac{3}{24}+\frac{3}{48}+\frac{3}{80}+\frac{3}{120}+\frac{3}{168}\)
\(=\frac{3}{4.6}+\frac{3}{6.8}+\frac{3}{8.10}+\frac{3}{10.12}+\frac{3}{12.14}\)
\(=\frac{3}{2}\left(\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+...+\frac{1}{12}-\frac{1}{14}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{4}-\frac{1}{14}\right)\)
\(=\frac{3}{2}.\frac{5}{28}\)
\(=\frac{15}{56}\)
\(a.\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{11.13}\)
\(=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{11}-\frac{1}{13}\right)\)
\(=3.\left(\frac{1}{3}-\frac{1}{13}\right)\)
\(=3.\frac{10}{39}\)
\(=\frac{10}{13}\)
a) \(\frac{51}{3}-\frac{22}{3}=\frac{51-22}{3}=\frac{29}{3}\)
b) \(\frac{5}{12}+\frac{5}{6}-\frac{3}{4}=\frac{5}{12}+\frac{10}{12}-\frac{9}{12}=\frac{5+10-9}{12}=\frac{6}{12}=\frac{1}{2}\)
c) \(1-\left(\frac{1}{5}+\frac{1}{2}\right)=\frac{10}{10}-\frac{2}{10}-\frac{5}{10}=\frac{10-5-2}{10}=\frac{3}{10}\)
d) \(\frac{111}{4}-\left(\frac{25}{7}+\frac{51}{4}\right)=\frac{777}{28}-\frac{60}{28}-\frac{357}{28}=\frac{360}{28}=\frac{90}{7}\)
e) \(\left(\frac{85}{11}+\frac{35}{7}\right)-\frac{35}{11}=\left(\frac{85}{11}-\frac{35}{11}\right)+\frac{35}{7}=\frac{50}{11}-\frac{35}{7}=\frac{350}{77}-\frac{385}{77}=-\frac{35}{77}\)
8 sản phẩm làm hết số thời gian là: 3 giờ 15 phút x 8=26(giờ) ĐS:26 giờ
3 giờ 15 phút= 195 phút
1 sản phẩm mất 195 phút vậy 8 sản phẩm hết số phút là:
195*8=1560 phút
b,(6,27+158,61-27)x(4,5x2-90:10)
=(6,27+158,61-27)x(9-9)
=(6,27+158,61-27)x0
=0
a,\(\left(\frac{1}{2018}-\frac{1}{2017}+\frac{1}{2016}\right)x\left(\frac{5}{6}-\frac{1}{2}-\frac{1}{3}\right)\)
\(=\left(\frac{1}{2018}-\frac{1}{2017}+\frac{1}{2016}\right)x0\)
\(=0\)