Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
A = 1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ... + 99 x 100
A = 2 + 6 + 12 + 20 + ... 9900
A = [2+9900] rồi bn nhân tổng số từ số 2 - 9900
\(3A=1.2.3+2.3.\left(4-1\right)+...+99.100.\left(101-98\right)\)
\(3A=1.2.3+2.3.4-1.2.3+...+99.100.101-98.99.100\)
\(3A=99.100.101\)
\(\Rightarrow A=\frac{99.100.101}{3}\)
\(\frac{38}{11}+\frac{4}{17}-\frac{5}{11}-\frac{3}{17}\)
\(=\frac{38}{11}-\frac{5}{11}+\frac{4}{17}-\frac{3}{17}\)
\(=\frac{33}{11}+\frac{1}{17}\)
\(=3+\frac{1}{17}\)
\(=\frac{52}{17}\)
38/11+4/17-5/11-3/17
=(38/11-5/11)+(4/17-3/17)
=3+1/17
=51/17+1/17=52/17
a) Tìm x
\(\frac{8}{5}+x=\frac{17}{3}\)
\(\Rightarrow x=\frac{17}{3}-\frac{8}{5}\)
\(\Rightarrow x=\frac{61}{15}\)
\(x-\frac{17}{14}=\frac{80}{11}\)
\(\Rightarrow x=\frac{80}{11}+\frac{17}{14}\)
\(\Rightarrow x=\frac{1307}{154}\)
b) Tính nhanh
\(52\times95+47\times95+95\)
\(=95\times\left(52+47+1\right)\)
\(=95\times100\)
\(=9500\)
\(a.\)\(\frac{8}{5}+x=\frac{17}{3}\)
\(\Leftrightarrow x=\frac{17}{3}-\frac{8}{5}\)
\(\Leftrightarrow x=\frac{85}{15}-\frac{24}{15}\)
\(\Leftrightarrow x=\frac{61}{15}\)
\(x-\frac{17}{14}=\frac{80}{11}\)
\(\Leftrightarrow x=\frac{80}{11}+\frac{17}{14}\)
\(\Leftrightarrow x=\frac{1120}{154}+\frac{187}{154}\)
\(\Leftrightarrow x=\frac{1307}{154}\)
\(b.\)Cách tính nhanh nhé:
\(52.95+47.95+95\)
\(=52.95+47.95+95.1\)
\(=95.\left(52+47+1\right)\)
\(=95.100\)
\(=9500\)
~ Rất vui vì giúp đc bn ~
\(x-15\%x=170\)
\(x-\frac{15}{100}x=170\)
\(x\left(1-\frac{15}{100}\right)=170\)
\(x.\frac{85}{100}=170\)
\(x=170:\frac{85}{100}\)
\(x=200\)
\(x-15\%x=170\)
\(\Rightarrow x-\frac{15}{100}x=170\)
\(\Rightarrow x\left(1-\frac{15}{100}\right)=170\)
\(\Rightarrow x\times\frac{85}{100}=170\)
\(\Rightarrow170:\frac{85}{100}\)
\(\Rightarrow x=200\)
\(1\)\(\frac{1}{3}x1\)\(\frac{1}{4}x1\)\(\frac{1}{5}x...x1\)\(\frac{1}{8}\)
\(=\frac{4}{3}x\)\(\frac{5}{4}x\)\(\frac{6}{5}\)\(x...x\)\(\frac{9}{8}\)
Tự tính nốt
\(1\frac{1}{3}\times1\frac{1}{4}\times1\frac{1}{5}\times1\frac{1}{6}\times1\frac{1}{7}\times1\frac{1}{8}.\)
= \(\frac{4}{3}\times\frac{5}{4}\times\frac{6}{5}\times\frac{7}{6}\times\frac{8}{7}\times\frac{9}{8}\times\frac{10}{9}\)
= \(\frac{4\times5\times6\times7\times8\times9\times10}{3\times4\times5\times6\times7\times8\times9}\)
= \(\frac{10}{3}\)