3,32:x+58%:x=0,3
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3. Tính: 8,79 x 10 = 87,9
3,32 x 100 =332
1,234 x 1000 =1234
a) 1,75 : 0,25 + 1,75 : 0,5 + 1,75 : 0,25
= 1, 75 : \(\dfrac{1}{4}\) + 1,75 : \(\dfrac{1}{2}\) + 1,75 : \(\dfrac{1}{4}\)
= 1,75 x 4 + 1,75 x 2 + 1,75 x 4
= 1,75 x (4 + 2 + 4)
= 1,75 x 10
= 17,5
b) 26,3 x 101 - 26 - 0,3
= 26,3 x 101 - (26 + 0,3)
= 26,3 x 101 - 26,3 x 1
= 26,3 x (101 - 1)
= 26,3 x 100
= 2630
c) (200 - 58) x 42 + (100 + 42) x 58
= 142 x 42 + 142 x 58
= 142 x (42 + 58)
= 142 x 100
= 14200
\((2,5\cdot x+2017)\cdot2018=(7,5+2017)\cdot2018\)
\(\Rightarrow(2,5\cdot x+2017)\cdot2018=4085441\)
\(\Rightarrow2,5\cdot x+2017=2024,5\)
\(\Rightarrow2,5x=7,5\)
\(\Rightarrow x=7,5:2,5=3\)
\(3\frac{1}{5}+\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}\)
\(\Rightarrow\frac{16}{5}+\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}\)
\(\Rightarrow\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}-\frac{16}{5}\)
\(\Rightarrow\frac{2}{5}\left[x+\frac{1}{3}\right]=1\)
\(\Rightarrow x+\frac{1}{3}=\frac{5}{2}\)
\(\Rightarrow x=\frac{13}{6}\)
\(58\times57+58\times50-58\times25=58\times\left(57+50-25\right)=4756\)
58 × 57 + 58 × 50 - 58 × 25
= 58 × (57 + 50 - 25)
= 58 × 82
= 4756
58 x 75 + 25 x 58 - 58 x 28
= 58 x ( 75 + 25 + 28 )
= 58 x 128
= 7424
58 x 75 + 25 x 58 - 58 x 28
= 58 x (75 + 25 - 28)
= 58 x 72
= 4176
a,\(\int\limits^{\frac{\Pi}{6}}_0\frac{sin\left(2x+x\right)}{cos^2x}dx=\int\limits^{\frac{\Pi}{6}}_0\frac{sin2x.cosx+cos2x.sinx}{cos^2x}dx=\int\limits^{\frac{\Pi}{6}}_0\frac{2cos^2x.sinx+\left(2cos^2x-1\right)sinx}{cos^2x}dx=\int\limits^{\frac{\Pi}{6}}_0\frac{4cos^2x.sinx}{cos^2x}dx+\int\limits^{\frac{\Pi}{6}}_0\frac{d\left(cosx\right)}{cos^2x}=\int\limits^{\frac{\Pi}{6}}_0sinxdx-\frac{1}{cosx}\)
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