-5/3)^3 <x< -24/35 nhân -5/6 giúp mình với cần nhanh ạ
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a) Số quả cam trong giỏ là:
\(\dfrac{2}{5}\) . 20 = 8 (quả)
Số quả quýt trong giỏ là:
8 . \(\dfrac{1}{2}\) = 4 (quả)
b) Tỉ lệ phần trăm số quả quýt so với quả táo là:
4 : \(\dfrac{20}{100}\)20100 =20 %
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\(\frac{x+1}{99}+\frac{x+2}{98}+\frac{x+3}{97}+\frac{x+4}{96}=-4\)
\(\Leftrightarrow\left(\frac{x+1}{99}+1\right)+\left(\frac{x+2}{98}+1\right)+\left(\frac{x+3}{97}+1\right)+\left(\frac{x+4}{96}+1\right)=0\)
\(\Leftrightarrow\frac{x+100}{99}+\frac{x+100}{98}+\frac{x+100}{97}+\frac{x+100}{96}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\right)=0\)
\(\Leftrightarrow x+100=0\)
\(\Leftrightarrow x=0-100\)
\(\Rightarrow x=-100\)
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\(\frac{5}{9}.\frac{-4}{17}+\frac{-13}{17}.\frac{5}{9}+2\frac{4}{9}\)
\(=\)\(\frac{5}{9}.\left(\frac{-4}{17}+\frac{-13}{17}\right)+2\frac{4}{9}\)
\(=\frac{5}{9}.\left(-1\right)+\frac{22}{9}\)
\(=\frac{5}{9}+\frac{22}{9}\)
\(=3\)
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2/1.4+2/4.7+......+2/97.100
=2/3.(1/1-1/4+1/4-1/7+.....+1/97-1/100)
=2/3.(1/1-1/100)
=2/3.99/100
=33/50