Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
c: Ta có: \(\dfrac{2}{5}\cdot\left[\left(\dfrac{3}{5}\right)^2:\left(-\dfrac{1}{5}\right)^2-7\right]\cdot\left(1000\right)^0\cdot\left|-\dfrac{11}{15}\right|\)
\(=\dfrac{2}{5}\cdot\left(\dfrac{9}{25}:\dfrac{1}{25}-7\right)\cdot1\cdot\dfrac{11}{15}\)
\(=\dfrac{2}{5}\cdot\dfrac{11}{15}\cdot2\)
\(=\dfrac{44}{75}\)
a) \(\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
⇔\(7\left(x-3\right)=5\left(x+5\right)\)
⇔\(7x-21=5x+25\)
⇔\(7x-21-5x-25=0\)
⇔\(2x-46=0\)
⇔\(2x=46\)
⇔\(x=23\)
\(\left(1+\dfrac{2}{3}\right).\left(1+\dfrac{2}{4}\right).\left(1+\dfrac{2}{5}\right)....\left(1+\dfrac{2}{2020}\right).\left(1+\dfrac{2}{2021}\right)\)
= \(\dfrac{5}{3}.\dfrac{6}{4}.\dfrac{7}{5}.\dfrac{8}{6}.\dfrac{9}{7}....\dfrac{2022}{2020}.\dfrac{2023}{2021}\)
= \(\dfrac{1}{3}.\dfrac{1}{4}.2022.2023\)
= \(\dfrac{337.2023}{2}\)
= \(\dfrac{\text{681751}}{2}\)
? là phần đề thiếu bạn nhé, bạn xem lại đề.
\(\frac{3x}{10}+\frac{5}{2}+\frac{3}{5}=\frac{5}{2}\)
=> \(\frac{3}{10}x=-\frac{3}{5}\)
=>x=-2
\(\left[30\%x+2+\frac{1}{2}\right]+\frac{3}{5}=2+\frac{1}{2}\)
\(\left[30\%x+\frac{5}{2}\right]+\frac{3}{5}=\frac{5}{2}\)
\(30\%+\frac{5}{2}=\frac{5}{2}-\frac{3}{5}\)
\(30\%x+\frac{5}{2}=\frac{19}{10}\)
\(\frac{3}{10}x=\frac{19}{10}-\frac{5}{2}\)
\(\frac{3}{10}x=\frac{-3}{5}\)
\(x=\frac{-3}{5}:\frac{3}{10}\)
\(x=-2\)
Vậy x=-2
\(a,\frac{x+8}{3}+\frac{x+7}{2}=-\frac{x}{5}\)
\(\Leftrightarrow\frac{10\cdot\left(x+8\right)}{30}+\frac{15\left(x+7\right)}{30}=\frac{-6x}{30}\)
\(\rightarrow10x+80+15x+105=-6x\)
\(\Leftrightarrow31x+185=0\)
\(\Leftrightarrow x=-\frac{185}{31}\)
b,\(b,\frac{x-8}{3}+\frac{x-7}{4}=4+\frac{1-x}{5}\)
\(\Leftrightarrow\frac{20\left(x-8\right)}{60}+\frac{15\left(x-7\right)}{60}=\frac{240}{60}+\frac{12\left(1-x\right)}{60}\)
\(\rightarrow20x-160+15x-105=240+12-12x\)
\(\Leftrightarrow47x-517=0\)\(\Leftrightarrow x=11\)
\(B=\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}+\frac{1}{5^4}+.....+\frac{1}{5^{2018}}+\frac{1}{5^{2019}}\)
\(\Rightarrow5B=1+\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}+.......+\frac{1}{5^{2017}}+\frac{1}{5^{2018}}\)
\(\Rightarrow5B-B=1-\frac{1}{5^{2019}}\)
\(\Rightarrow4B=1-\frac{1}{5^{2019}}\)
\(\Rightarrow B=\frac{1-\frac{1}{5^{2019}}}{4}< \frac{1}{4}\left(đpcm\right)\)
\(\left(x-\dfrac{4}{7}\right):-\dfrac{1}{3}=1\)
\(\Rightarrow x-\dfrac{4}{7}=1\cdot-\dfrac{1}{3}\)
\(\Rightarrow x-\dfrac{4}{7}=-\dfrac{1}{3}\)
\(\Rightarrow x=-\dfrac{1}{3}+\dfrac{4}{7}\)
\(\Rightarrow x=\dfrac{5}{12}\)
___________________
\(\dfrac{2}{3}-\dfrac{7}{4}:x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{7}{4}:x=\dfrac{2}{3}-\dfrac{5}{6}\)
\(\Rightarrow\dfrac{7}{4}:x=-\dfrac{1}{6}\)
\(\Rightarrow x=\dfrac{7}{4}:-\dfrac{1}{6}\)
\(\Rightarrow x=-\dfrac{21}{2}\)
(x - 4/7) : (-1/3) = 1
x - 4/7 = -1/3
x = -1/3 +4/7
x = 5/21
--------------------
2/3 + 7/4 : x = 5/6
7/4 : x = 5/6 - 2/3
7/4 : x = 1/6
x = 7/4 : 1/6
x = 21/2
Ta có: \(\dfrac{1}{5}-\left|\dfrac{1}{5}-x\right|=\dfrac{1}{5}\)
\(\Leftrightarrow\left|\dfrac{1}{5}-x\right|=0\)
\(\Leftrightarrow x-\dfrac{1}{5}=0\)
hay \(x=\dfrac{1}{5}\)