Tính nhanh ( có giải thích giùm mình nha)
25 x 47 + 16 x 25 + 25 x 37
45 - 40 + 35 - 30 + 25 - 20 + 15 - 10 + 5
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55 - 50 +45 - 40 + 35 -30 + 25 - 20 +15 - 10 +5
= 5 + 5 + 5 + 5 + 5 + 5
=5 x 6
=30
\(\left(27.700-45.20\right)\div\left(45-40+35-30+25-20+15-10+5\right)\)
\(=\)\(\left(27.100-45.20\right)\div25\)
\(=\)\(\left(27.35.20-45.20\right)\div25\)
\(=\)\(\left[\left(27.35-45\right).20\right]\div25\)
\(=\)\(18000\div25\)
\(=\)\(750\)
\(\dfrac{x-55}{45}+\dfrac{x-30}{35}+\dfrac{x-25}{25}+\dfrac{x-40}{15}=10\)
\(< =>\dfrac{x-55}{45}+\dfrac{x-30}{35}+\dfrac{x-25}{25}+\dfrac{x-40}{15}-10=0\)
\(< =>\dfrac{x-55}{45}-1+\dfrac{x-30}{35}-2+\dfrac{x-25}{25}-3+\dfrac{x-40}{15}-4=0\)
\(< =>\dfrac{x-100}{45}+\dfrac{x-100}{35}+\dfrac{x-100}{25}+\dfrac{x-100}{15}=0\)
\(< =>\left(x-100\right)\left(\dfrac{1}{45}+\dfrac{1}{35}+\dfrac{1}{25}+\dfrac{1}{15}\right)=0\)
\(< =>x-100=0\left(\dfrac{1}{45}+\dfrac{1}{35}+\dfrac{1}{25}+\dfrac{1}{15}\ne0\right)\)
\(< =>x=100\)
1/5 + 4/10 +9/15 + 16/20 + 25/25 + 36/30 + 49/35 + 64/40 + 81/45
=1/5 + 2/5 + 3/5 +...+ 9/5
=45/5=9
\(\frac{1}{5}+\frac{4}{10}+\frac{9}{15}+\frac{16}{20}+\frac{25}{25}+\frac{36}{30}+\frac{49}{35}+\frac{64}{40}+\frac{81}{45}\)
\(=\frac{1}{5}+\frac{1}{5}+\frac{3}{5}+\frac{4}{5}+\frac{5}{5}+\frac{6}{5}+\frac{7}{5}+\frac{8}{5}+\frac{9}{5}\)
\(=\frac{\left(9+1\right)\cdot9:2}{5}=\frac{45}{5}=9\)
Ta có: \(\dfrac{1}{5}+\dfrac{4}{10}+\dfrac{9}{15}+\dfrac{16}{20}+\dfrac{25}{25}+\dfrac{36}{30}+\dfrac{49}{35}+\dfrac{64}{40}+\dfrac{81}{45}\)
\(=\dfrac{1}{5}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{4}{5}+\dfrac{5}{5}+\dfrac{6}{5}+\dfrac{7}{5}+\dfrac{8}{5}+\dfrac{9}{5}\)
\(=\dfrac{45}{5}=9\)
\(
\frac{48.700-24.45.20}{45-40+35-30+25-20+15-10+5}\)
\(=\frac{48.700-24.2.10.45}{5+5+5+5+5}\)
\(=\frac{48.700-48.450}{5.5}\)
\(=\frac{48.\left(700-450\right)}{25}\)
\(=\frac{48.250}{25}\)
\(=480\)
=\(\frac{25X\left(47+16+37\right)}{5+5+5+5+5}\)
=\(\frac{25X100}{25}\)
=100 ( cùng chia tử và mẫu cho 100) nhớ l i k e
25 x 47 + 16 x25 + 25 x 37 = cũng rất khó mình học lớp 6 mà ko giải
được
45 - 40 + 35 - 30 + 25 - 20 + 15 - 10 +5