Tính:
a, 3/4 x 5/6= b, 2/7 : 4/9=
Cho mình xin lời giải chi tiết ạ
Tính nhanh:
a, 5/6 x 4/5 + 4/5 x 1/6 + 4/5
b, 60 x (7/12 + 4/15)
Xin lời giải chi tiết ạ
\(a,\dfrac{5}{6}\times\dfrac{4}{5}+\dfrac{4}{5}\times\dfrac{1}{6}+\dfrac{4}{5}=\dfrac{4}{5}\times\left(\dfrac{5}{6}+\dfrac{1}{6}+1\right)=\dfrac{4}{5}\times2=\dfrac{8}{5}\)
\(b,60\times\left(\dfrac{105}{180}+\dfrac{48}{180}\right)=60\times\dfrac{17}{20}=51\)
a) \(\dfrac{5}{6}\times\dfrac{4}{5}+\dfrac{4}{5}\times\dfrac{1}{6}+\dfrac{4}{5}\)
\(=\dfrac{5}{6}\times\dfrac{4}{5}+\dfrac{4}{5}\times\dfrac{1}{6}+\dfrac{4}{5}\times1\)
\(=\dfrac{4}{5}\times\left(\dfrac{5}{6}+\dfrac{1}{6}+1\right)\)
\(=\dfrac{4}{5}\times2\)
\(=\dfrac{8}{5}\)
b) \(60\times\left(\dfrac{7}{12}+\dfrac{4}{15}\right)\)
\(=60\times\dfrac{17}{20}\)
\(=\dfrac{1020}{20}\)
\(=51\)
Giúp mình với ạ, giải chi tiết nhé !
Mình xin cảm ơn !
a/ \(\sqrt{25}\) - 3\(\sqrt{\dfrac{4}{9}}\)
b/ (2 - \(\dfrac{5}{3}\)) : (\(\dfrac{2}{7}\) + \(\dfrac{5}{21}\) - 1)
c/ 12,7 - 17,2 + 199,9 - 22,8 - 149,9
d/ (\(\dfrac{-1}{2}\))4 + |\(\dfrac{-2}{3}\)| - 20070
e/ 4(\(\dfrac{-1}{2}\))3 + |\(\dfrac{1}{2}\)| : 5
g/ 3 - (\(\dfrac{-6}{7}\))0 + \(\sqrt{9}\) : 2
h/ \(\dfrac{27}{23}\) + \(\dfrac{5}{21}\) - \(\dfrac{4}{23}\) + \(\dfrac{6}{21}\) + \(\dfrac{1}{2}\)
a, \(\sqrt{25}-3\sqrt{\dfrac{4}{9}}=5-3.\dfrac{2}{3}=3\)
b, \(\left(2-\dfrac{5}{3}\right):\left(\dfrac{2}{7}+\dfrac{5}{21}-1\right)\)
\(=\dfrac{1}{3}:\dfrac{6+5-21}{21}\)
\(=-\dfrac{1}{3}.\dfrac{21}{10}\)
\(=-\dfrac{7}{10}\)
Tính:
a) 3/14 x 2
b) 3 x 7/9
c) 4/11 : 2
d) 4 x 5/8
giúp mình giải chi tiết nha^^
Cảm ơn nhiều^^
\(\dfrac{1}{3}\)+\(\dfrac{5}{6}\)*(x-\(\dfrac{11}{5}\))=\(\dfrac{3}{4}\).mọi ng cho mình lời giải chi tiết và cụ thể vs ạ. đây là bài tìm x ạ.
\(\dfrac{1}{3}+\dfrac{5}{6}\cdot\left(x-\dfrac{11}{5}\right)=\dfrac{3}{4}\)
\(\dfrac{5}{6}\cdot\left(x-\dfrac{11}{5}\right)=\dfrac{3}{4}-\dfrac{1}{3}\)
\(\dfrac{5}{6}\cdot\left(x-\dfrac{11}{5}\right)=\dfrac{5}{12}\)
\(x-\dfrac{11}{5}=\dfrac{5}{12}\cdot\dfrac{6}{5}\)
\(x-\dfrac{11}{5}=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}+\dfrac{11}{5}\)
\(x=\dfrac{27}{10}\)
\(\dfrac{5}{6}\left(x-\dfrac{11}{5}\right)=\dfrac{3}{4}-\dfrac{1}{3}\)
\(\dfrac{5}{6}\left(x-\dfrac{11}{5}\right)=\dfrac{5}{12}\)
\(x-\dfrac{11}{5}=\dfrac{5}{12}:\dfrac{5}{6}\)
\(x-\dfrac{11}{5}=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}+\dfrac{11}{5}=\dfrac{27}{10}\)
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{1}{3}+\dfrac{5}{6}\times\left(x-\dfrac{11}{5}\right)=\dfrac{3}{4}\)
\(\dfrac{5}{6}\times\left(x-\dfrac{11}{5}\right)=\dfrac{3}{4}-\dfrac{1}{3}\)
\(\dfrac{5}{6}\times\left(x-\dfrac{11}{5}\right)=\dfrac{5}{12}\)
\(x-\dfrac{11}{5}=\dfrac{5}{12}\div\dfrac{5}{6}\)
\(x-\dfrac{11}{5}=\dfrac{5}{12}\times\dfrac{6}{5}\)
\(x-\dfrac{11}{5}=\dfrac{6}{12}\)
\(x=\dfrac{6}{12}+\dfrac{11}{5}\)
\(x=\dfrac{27}{10}\)
(x - 1/5)2 + 1 = 3,5 : 7%
Cho mình lời giải chi tiết ạ. Mình cảm ơn!<3
`@` `\text {Ans}`
`\downarrow`
\(\left(x-\dfrac{1}{5}\right)^2+1=3,5\div7\%\)
`=> (x-1/5)^2 + 1 = 3,5 \div 0,07`
`=> (x-1/5)^2 +1=50`
`=> (x-1/5)^2 = 49`
`=> (x-1/5)^2 = (+-7)^2`
`=>`\(\left[{}\begin{matrix}x-\dfrac{1}{5}=7\\x-\dfrac{1}{5}=-7\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=7+\dfrac{1}{5}\\x=-7+\dfrac{1}{5}\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=\dfrac{36}{5}\\x=-\dfrac{34}{5}\end{matrix}\right.\)
Vậy, `x={36/5; -34/5}.`
Tính nhanh :
a : 1/2 x 2/3 x 3/4 x....x99/100
b : 3/2 x 4/3 x 5/4 x 6/5 x 7/6 x 8/7 x 9/8
Giải chi tiết thì mình mới tick
\(\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-4}}=2\sqrt{2}\)giải phương trình ( cho em xin lời giải chi tiết ạ )
\(\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-4}}=2\sqrt{2}\)
\(\Leftrightarrow\sqrt{x+2\sqrt{2\left(x-2\right)}}+\sqrt{x-2\sqrt{2\left(x-2\right)}}=2\sqrt{2}\)
\(\Leftrightarrow2x+2\sqrt{\left[x+2\sqrt{2\left(x-2\right)}\text{ }\right]\left[x-2\sqrt{2\left(x-2\right)}\text{ }\right]}=8\)
\(\Leftrightarrow2\sqrt{\left[x+2\sqrt{2\left(x-2\right)}\text{ }\right]\left[x-2\sqrt{2\left(x-2\right)}\text{ }\right]}=8-2x\)
\(\Leftrightarrow4\left[x+2\sqrt{2\left(x-2\right)}\text{ }\right]\left[x-2\sqrt{2\left(x-2\right)}\text{ }\right]=64-32x+4x^2\)
\(\Leftrightarrow4x^2-32x+64=64-32x+4x^2+\)
\(\Leftrightarrow64=64\) (Đúng)
⇒ Phương trình có vô số nghiệm.
Vậy \(S=\mathbb R\).
\(\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-4}}=2\sqrt{2}\)
ĐK: \(x\ge2\), PT tương đương với:
\(x+2\sqrt{2x-4}+2\sqrt{\left(x+2\sqrt{2x-4}\right)\left(x-2\sqrt{2x-4}\right)}+x-2\sqrt{2x-4}=8\)
\(\Leftrightarrow2x+2\sqrt{x^2-4\left(2x-4\right)}=8\)
\(\Leftrightarrow2x+2\sqrt{x^2-8x+16}=8\\ \Leftrightarrow x+\left|x-4\right|=8\)
Với x < 4 => \(x+4-x=8\)
\(\Leftrightarrow4=8\) (loại)
Với \(x\ge4\) => \(x+x-4=8\)
\(\Leftrightarrow x=6\) (thỏa mãn)
\(B=\dfrac{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}-2}{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}+2}\)với x > 0 rút gọn biểu thức ( cho em xin lời giải chi tiết ạ )
\(B=\dfrac{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}-2}{x^3-3x+\left(x^2-1\right)\sqrt{x^2-4}+2}\)rút gọn biểu thức với x>0 ( cho em xin lời giải chi tiết ạ )