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ta có : (ghi lại đề)
=6+12+18+24+30/3+6+9+12+15
=2*(3/3+6/6+9/9+12/12+15/15)
=2*(1+1+1+1+1)
=2*5=10
chúc main học tốt nhé
Tìm X
a) \(2x+\dfrac{3}{24}=3x-\dfrac{1}{32}\)
\(\Leftrightarrow\left(2x+\dfrac{3}{24}\right)-\left(3x-\dfrac{1}{32}\right)=0\)
\(\Leftrightarrow2x+\dfrac{3}{24}-3x+\dfrac{1}{32}=0\)
\(\Leftrightarrow\left(\dfrac{3}{24}+\dfrac{1}{32}\right)+\left(2x-3x\right)=0\)
\(\Leftrightarrow\dfrac{5}{32}-x=0\)
\(\Leftrightarrow x=\dfrac{5}{32}\)
\(a,\left(\frac{5}{4}\right)^2\div-\left(\frac{35}{24}\right)^2\)
\(=\frac{25}{16}\div\frac{-1225}{576}\)
\(=\frac{-36}{49}\)
b, Xin lỗi bn, mk k đc hiểu đề cho lắm!
~Study well~
#KSJ
a) \(\frac{15}{12}+\frac{5}{13}-\frac{3}{12}-\frac{18}{13}=\left(\frac{15}{12}-\frac{3}{12}\right)+\left(\frac{5}{13}-\frac{18}{13}\right)\)
\(=1+\left(-1\right)\)
\(=0\)
b) \(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}=\left(\frac{11}{24}+\frac{13}{24}\right)+\left(-\frac{5}{41}-\frac{36}{41}\right)+0,5\)
\(=1+\left(-1\right)+0,5\)
\(=0,5\)
_Học tốt nha_
a, \(\frac{15}{12}\)+ \(\frac{5}{13}\)- \(\frac{3}{12}\)-\(\frac{18}{13}\)
= \(\frac{5}{4}\)+ \(\frac{5}{13}\) - \(\frac{1}{4}\) - \(\frac{18}{13}\)
= \(\left(\frac{5}{4}-\frac{1}{4}\right)\)+ \(\left(\frac{5}{13}-\frac{18}{13}\right)\)
= 1 - 1 = 0
b, \(\frac{11}{24}\)- \(\frac{5}{41}\)+ \(\frac{13}{24}\)+ 0,5 - \(\frac{36}{41}\)
= \(\left(\frac{11}{24}+\frac{13}{24}\right)\)- \(\left(\frac{5}{41}+\frac{36}{41}\right)\)+ 0,5
= 1 - 1 + 0,5 = 0,5
c, \(\left(-\frac{3}{4}+\frac{2}{3}\right):\frac{5}{11}+\left(-\frac{1}{4}+\frac{1}{3}\right):\frac{5}{11}\)
=\(\left(-\frac{3}{4}+\frac{2}{3}\right).\frac{11}{5}+\left(-\frac{1}{4}+\frac{1}{3}\right).\frac{5}{11}\)
= \(\frac{11}{5}.\left(-\frac{3}{4}+\frac{2}{3}-\frac{1}{4}+\frac{1}{3}\right)\)
= \(\frac{11}{5}.\left[\left(-\frac{3}{4}-\frac{1}{4}\right)+\left(\frac{2}{3}+\frac{1}{3}\right)\right]\)
= \(\frac{11}{5}.\left[\left(-1\right)+1\right]\)
= 0
d, \(\left(-3\right)^2.\left(\frac{3}{4}-0,25\right)-\left(3\frac{1}{2}-1\frac{1}{2}\right)\)
= \(9.\left(0,75-0,25\right)-2\)
= 9. 0,5 - 2 = 2,5
e, \(\frac{13}{25}+\frac{6}{41}-\frac{38}{25}+\frac{35}{41}-\frac{1}{2}\)
= \(\left(\frac{13}{25}-\frac{38}{25}\right)+\left(\frac{6}{41}+\frac{35}{41}\right)-\frac{1}{2}\)
= -1 + 1 - \(\frac{1}{2}\)
= \(-\frac{1}{2}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{x}{3}=\frac{y}{6}=\frac{z}{5}=\frac{2xy-3y^2-4yz}{2.3.6-3.6^2-4.6.5}=\frac{24}{-192}=\left(-\frac{1}{8}\right)\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{3}=\left(-\frac{1}{8}\right)\Rightarrow x=\left(-\frac{3}{8}\right)\\\frac{y}{6}=\left(-\frac{1}{8}\right)\Rightarrow y=\left(-\frac{3}{4}\right)\\\frac{z}{5}=\left(-\frac{1}{8}\right)\Rightarrow z=\left(-\frac{5}{8}\right)\end{cases}}\)
Vậy ....
\(b,\frac{x^2}{4}=\frac{y^2}{9}=\frac{z^2}{25}=\)
\(\Rightarrow\frac{x}{2}=\frac{y}{3}=\frac{z}{5}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=\frac{2x+3y-5z}{2.2+3.3-5.5}=\frac{\left(-12\right)}{\left(-12\right)}=1\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{2}=1\Rightarrow x=2\\\frac{y}{3}=1\Rightarrow y=3\\\frac{z}{5}=1\Rightarrow z=5\end{cases}}\)
Vậy ...
a) \(14^{26}.\frac{5^{24}}{2^{25}}.35^{24}\)
\(=14^{26}.35^{24}.\frac{5^{24}}{3^{25}}\)
\(=14^{26}.\frac{35^{24}.5^{24}}{3^{25}}\)
\(=14^{26}.\frac{\left(35.5\right)^{24}}{3^{25}}\)
\(=14^{26}.\frac{175^{24}}{3^{25}}\)
b) \(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)
\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)
\(\Leftrightarrow x=\left(\frac{3}{5}\right)^{-2}\)
\(\left(\frac{3}{5}\right)^{2018}.x=\left(\frac{3}{5}\right)^{2016}\)
\(\Rightarrow x=\left(\frac{3}{5}\right)^{2016}:\left(\frac{3}{5}\right)^{2018}\)
\(\Rightarrow x=\left(\frac{3}{5}\right)^{-2}\)
\(\Rightarrow x=\frac{25}{9}.\)
Vậy \(x=\frac{25}{9}.\)
Chúc bạn học tốt!
A=\(2^2-9^3+4^{-2}.16-2.5^2\)
\(=4-729+1-50=-774\)
B=\(\left(2^3.2\right).\dfrac{1}{2}+3^{-2}.3^2-7.1+5\)
\(B=2^4.\dfrac{1}{2}+1-7+5=8+1-7+5=7\)
C = 2-3 + (52)3.5-3 + 4-3.16 - 2.32 - 105.(\(\dfrac{24}{51}\))0
C = \(\dfrac{1}{8}\) + 56.5-3 + 4-3.42 - 2.9 - 105.1
C = \(\dfrac{1}{8}\) + 53 + \(\dfrac{1}{4}\) - 18 - 105
C = (\(\dfrac{1}{8}\) + \(\dfrac{1}{4}\)) - (105 - 125 + 18)
C = \(\dfrac{3}{8}\) - (-20 + 18)
C = \(\dfrac{3}{8}\) + 2
C = \(\dfrac{19}{8}\)
= \((\)\(\frac{2}{5}\)\()\)^24 :\((\)\(\frac{2}{5}\)\()\)^6
=\((\)\(\frac{2}{5}\)\()\)^18
=(2/52 ) 12 : 4/25 3
=4/25 12 : 4/253
=4/259