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\(\dfrac{-5}{3}-\left(\dfrac{5}{12}-\dfrac{3}{4}\right)< x< \dfrac{11}{6}-\left(\dfrac{1}{3}+\dfrac{1}{4}\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x>\dfrac{-5}{3}-\left(\dfrac{5}{12}-\dfrac{3}{4}\right)\\x< \dfrac{11}{6}-\left(\dfrac{1}{3}+\dfrac{1}{4}\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x>\dfrac{-5}{3}-\dfrac{5}{12}+\dfrac{3}{4}\\x< \dfrac{11}{6}-\dfrac{1}{3}-\dfrac{1}{4}\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x>\dfrac{-20}{12}-\dfrac{5}{12}+\dfrac{9}{12}\\x< \dfrac{22}{12}-\dfrac{4}{12}-\dfrac{3}{12}\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x>-\dfrac{4}{3}\\x< \dfrac{5}{4}\end{matrix}\right.\Rightarrow x\in\left\{-\dfrac{4}{3};\dfrac{5}{4}\right\}}\)
Tính bằng 2 cách:
A= (3-1/4+2/3) - (5+1/3-6/5) - (6-7/4+3/2)
Giúp mk nghen! Mai mk phải nộp bài rùi!!!
\(A=3-\frac{1}{4}+\frac{2}{3}-5-\frac{1}{3}+\frac{6}{5}-6+\frac{7}{4}-\frac{3}{2}\)
\(=3-6-5+\frac{7-1}{4}+\frac{2-1}{3}-\frac{3}{2}+\frac{6}{5}=-8+\frac{3}{2}+\frac{1}{3}-\frac{3}{2}+\frac{6}{5}=-8+\frac{1}{3}+\frac{6}{5}=-\frac{97}{15}\)
a, 2.(4x-3)-3(x+5)+4(x-10)=5(x+2)
2.4x-2.3-3.x+3.5+4x-4.10=5x+5.2
8x-6-3x+15+4x-40=5x-10
8x-3x+4x-5x-6-15-40-10=0
4x-71=0
4x=71
x=71:4
x=71/4
a. \(\frac{\left(-5\right)^2.20^4}{8^2.\left(-125\right)}=\frac{\left(-5\right)^2.5^4.2^8}{2^6.\left(-5\right)^3}=\left(-5\right)^3.2^2=\left(-125\right).4=-500\)
b, \(\frac{15^{11}.5^7.9^2}{5^{18}.27^6}=\frac{3^{11}.5^{11}.5^7.3^4}{5^{18}.3^{18}}=\frac{3^{15}.5^{18}}{5^{18}.3^{18}}=\frac{1}{3^3}=\frac{1}{27}\)
\(\left(\dfrac{1}{5}-\dfrac{9}{10}\right):\dfrac{-5}{4}-\left(\dfrac{1}{5}+1,6\right):\dfrac{-5}{4}\)
= \(\left(\dfrac{1}{5}-\dfrac{9}{10}-\dfrac{1}{5}-1.6\right):\dfrac{-5}{4}\)
= \(\left(-\dfrac{9}{10}-1,6\right):\dfrac{-5}{4}\)
= \(\left(-0.9-1.6\right):\left(-1.25\right)\)
= (-2.5) : (-1.25) = 2
\(\left(\dfrac{1}{5}-\dfrac{9}{10}\right):\left(-\dfrac{5}{4}\right)-\left(\dfrac{1}{5}+1,6\right):\left(-\dfrac{5}{4}\right)\)
\(=\left(\dfrac{1}{5}-\dfrac{9}{10}\right).\left(-\dfrac{4}{5}\right)-\left(\dfrac{1}{5}+1,6\right).\left(-\dfrac{4}{5}\right)\)
\(=\left(-\dfrac{4}{5}\right)\left(\dfrac{1}{5}-\dfrac{9}{10}-\dfrac{1}{5}-1,6\right)\)
\(=-\dfrac{4}{5}.\left(-2,5\right)=2\)
Chúc bạn học tốt!!!