2^2 . 5 . [(5^2 + 2^3) :11 - 2] - 4^2 . 5
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\(S=1+2+2^2+2^3+2^4+2^5+2^6+2^7\)
\(\Rightarrow S=\left(1+2\right)+\left(2^2+2^3\right)+\left(2^4+2^5\right)+\left(2^6+2^7\right)\)
\(\Rightarrow S=\left(1+2\right)+2^2\left(1+2\right)+2^4\left(1+2\right)+2^6\left(1+2\right)\)
\(\Rightarrow S=\left(1+2\right)\left(1+2^2+2^4+2^6\right)\)
\(\Rightarrow S=3\left(1+2^2+2^4+2^6\right)⋮3\)
a)\(x+\dfrac{2}{3}x\dfrac{5}{6}=7\)
\(x+\dfrac{10}{18}=7\)
\(x=7-\dfrac{10}{18}\)
\(x=\dfrac{58}{9}\)
b)\(9-xx\dfrac{1}{2}=\dfrac{3}{4}\)
\(xx\dfrac{1}{2}=9-\dfrac{3}{4}\)
\(xx\dfrac{1}{2}=\dfrac{33}{4}\)
\(x=\dfrac{33}{4}:\dfrac{1}{2}\)
\(x=\dfrac{33}{2}\)
c)\(18-x:\dfrac{2}{3}=\dfrac{4}{5}-\dfrac{1}{10}\)
\(18-x:\dfrac{2}{3}=\dfrac{7}{10}\)
\(x:\dfrac{2}{3}=18-\dfrac{7}{10}\)
\(x:\dfrac{2}{3}=\dfrac{173}{10}\)
\(x=\dfrac{173}{10}x\dfrac{2}{3}\)
\(x=\dfrac{173}{15}\)
A = \(\dfrac{2}{5}:\dfrac{3}{4}+\dfrac{2}{5}.\dfrac{3}{6}+\dfrac{2}{5}\)
A=\(\dfrac{2}{5}.\dfrac{4}{3}+\dfrac{2}{5}.\dfrac{3}{6}+\dfrac{2}{5}\)
A=\(\dfrac{2}{5}.\left(\dfrac{4}{3}+\dfrac{3}{6}+1\right)\) =\(\dfrac{2}{5}.\dfrac{17}{6}\)= \(\dfrac{17}{5}\)
B = \(\dfrac{5}{21}.\dfrac{4}{11}+\dfrac{7}{11}.\dfrac{5}{21}-\dfrac{2}{3}\)
B =\(\dfrac{5}{21}\left(\dfrac{4}{11}+\dfrac{7}{11}\right)-\dfrac{2}{3}\)
B= \(\dfrac{5}{21}.1-\dfrac{2}{3}\) = \(\dfrac{5}{21}-\dfrac{2}{3}=\dfrac{-3}{7}\)
\(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)
=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)
=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\)
=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)
=\(\dfrac{13}{10}\)
\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}-\dfrac{18}{25}\)
=\(-\dfrac{25}{25}\) = \(-1\)
Đổi: 2/3 giờ = 40 phút
1/2 giờ = 30 phút
2/5 giờ 24 phút
Vậy Huệ làm nhanh nhất
HT
Tham khảo:
đổi \(\dfrac{2}{3}\)giờ = 40 phút
\(\dfrac{1}{2}\)giờ =30 phút
\(\dfrac{2}{5}\)giờ = 24 phút
vậy bạn Huệ làm nhanh nhất
\(=\left(1+2+...+18\right)-\left(3+4+...+20\right)\\ =\dfrac{\left(18+1\right)\cdot18}{2}-\dfrac{\left(20+3\right)\cdot16}{2}=-13\)
Ta có :
M= \(\dfrac{3+3-3+\left(\dfrac{1}{5}+\dfrac{1}{7}-\dfrac{1}{11}\right)}{4+4-4+\left(\dfrac{1}{5}+\dfrac{1}{7}-\dfrac{1}{11}\right)}\)= \(\dfrac{3+3-3}{4+4-4}=\dfrac{3}{4}\)
b) Nhận xét thấy: \(\dfrac{2}{1.3}=1-\dfrac{1}{3};\dfrac{1}{3.5}=\dfrac{1}{3}-\dfrac{1}{5};...\)
Ta có:
B= 1-\(\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\)
B= 1- \(\dfrac{1}{101}\)= \(\dfrac{100}{101}\)
Vậy B= \(\dfrac{100}{101}\)
Hi
2^2 . 5 . [(5^2 + 2^3) :11 - 2] - 4^2 . 5
= 4 * 5 * [ (25 + 8) : 11 - 2 ] - 16 * 5
= 4 * 5 * [ 33 : 11 - 2 ] - 16 * 5
= 4 * 5 * [ 3 - 2 ] - 16 * 5
= 4 * 5 * 1 - 16 * 5
= 20 - 80
= -60