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2B.
a) \(A=\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{\dfrac{2}{3}-\dfrac{2}{7}-\dfrac{2}{13}}\cdot\dfrac{\dfrac{3}{4}-\dfrac{3}{16}-\dfrac{3}{64}-\dfrac{3}{256}}{1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}}+\dfrac{5}{8}\)
\(=\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{2\left(\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}\right)}\cdot\dfrac{\dfrac{3}{4}\cdot\left(1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}\right)}{1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}}+\dfrac{5}{8}\)
\(=\dfrac{1}{2}\cdot\dfrac{3}{4}+\dfrac{5}{8}\)
\(=\dfrac{3}{8}+\dfrac{5}{8}\)
\(=\dfrac{8}{8}\)
\(=1\)
b) \(B=\dfrac{0,125-\dfrac{1}{5}+\dfrac{1}{7}}{0,375-\dfrac{3}{5}+\dfrac{3}{7}}+\dfrac{\dfrac{1}{2}+\dfrac{1}{3}-0,2}{\dfrac{3}{4}+0,5-\dfrac{3}{10}}\)
\(=\dfrac{\dfrac{1}{8}-\dfrac{1}{5}-\dfrac{1}{7}}{\dfrac{3}{8}-\dfrac{3}{5}+\dfrac{3}{7}}+\dfrac{\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{5}}{\dfrac{3}{4}+\dfrac{1}{2}-\dfrac{3}{10}}\)
\(=\dfrac{\dfrac{1}{8}-\dfrac{1}{5}+\dfrac{1}{7}}{3\left(\dfrac{1}{8}-\dfrac{1}{5}+\dfrac{1}{7}\right)}+\dfrac{2\cdot\left(\dfrac{1}{4}+\dfrac{1}{6}-\dfrac{1}{10}\right)}{\dfrac{3}{4}+\dfrac{3}{6}-\dfrac{3}{10}}\)
\(=\dfrac{1}{3}\cdot\dfrac{2\left(\dfrac{1}{4}+\dfrac{1}{6}-\dfrac{1}{10}\right)}{3\left(\dfrac{1}{4}+\dfrac{1}{6}-\dfrac{1}{10}\right)}\)
\(=\dfrac{1}{3}\cdot\dfrac{2}{3}\)
\(=\dfrac{2}{9}\)
3A:
\(A=\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\cdot...\cdot\left(\dfrac{1}{10}-1\right)\)
\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-9}{10}=\dfrac{-1}{10}>-\dfrac{1}{9}\)
3B:
\(B=\left(\dfrac{1}{4}-1\right)\left(\dfrac{1}{9}-1\right)\cdot...\cdot\left(\dfrac{1}{100}-1\right)\)
\(=\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\cdot...\cdot\left(\dfrac{1}{10}-1\right)\cdot\left(\dfrac{1}{2}+1\right)\cdot\left(\dfrac{1}{3}+1\right)\cdot...\cdot\left(\dfrac{1}{10}+1\right)\)
\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-9}{10}\cdot\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{11}{10}\)
\(=\dfrac{-1}{10}\cdot\dfrac{11}{2}=\dfrac{-11}{20}\)
Vì 20<21 nên \(\dfrac{11}{20}>\dfrac{11}{21}\)
=>\(-\dfrac{11}{20}< -\dfrac{11}{21}\)
=>\(B< -\dfrac{11}{21}\)
\(2,5-3x=5,5.2022^0\)
\(=>2,5-3x=5,5.1\)
\(=>2,5-3x=5,5\)
\(=>3x=2,5-5,5\)
\(=>3x=-3\)
\(=>x=\left(-3\right):3\)
\(=>x=\dfrac{-3}{3}=-1\)
Vậy...
\(#NqHahh\)
\(2,5-3x=5,5\cdot2022^0\)
\(2,5-3x=5,5\cdot1\)
\(2,5-3x=5,5\)
\(3x=2,5-5,5\)
\(3x=-3\)
\(x=-3:3\)
\(x=-1\)
Vậy \(x=-1\)
A. $x = \dfrac{-9}{4}$ B. $x = \dfrac{-15}{4}$ C. $x = \dfrac{15}{4}$ D. $x = \dfrac{9}{4}$
a: Vì O thuộc tia đối của tia AB
nên A nằm giữa O và B
=>OB=OA+AB=4+6=10(cm)
M là trung điểm của OA
=>\(OM=MA=\dfrac{OA}{2}=\dfrac{4}{2}=2\left(cm\right)\)
N là trung điểm của OB
=>\(ON=NB=\dfrac{OB}{2}=5\left(cm\right)\)
Vì OM<ON
nên M nằm giữa O và N
=>OM+MN=ON
=>MN+2=5
=>MN=3(cm)
b: \(MN=ON-OM=\dfrac{OB-OA}{2}=\dfrac{BA}{2}\)
=>MN không phụ thuộc vào điểm O
c: Gọi số điểm phải lấy thêm là n(điểm)
Tổng số điểm trên đoạn thẳng AB lúc này là n+2(điểm)
Số tam giác tạo thành là \(C^2_{n+2}\left(tamgiác\right)\)
Theo đề, ta có: \(C^2_{n+2}=465\)
=>\(\dfrac{\left(n+2\right)!}{\left(n+2-2\right)!\cdot2!}=465\)
=>(n+1)(n+2)=930
=>\(n^2+3n-928=0\)
=>\(\left[{}\begin{matrix}n=29\left(nhận\right)\\n=-32\left(loại\right)\end{matrix}\right.\)
Vậy: Số điểm phải lấy thêm là 29 điểm
a: \(-1,2+\dfrac{2}{3}+x=5\)
=>\(x=5+1,2-\dfrac{2}{3}=6,2-\dfrac{2}{3}\)
=>\(x=\dfrac{31}{5}-\dfrac{2}{3}=\dfrac{93}{15}-\dfrac{10}{15}=\dfrac{83}{15}\)
b: \(2\dfrac{4}{7}-3x=\dfrac{-4}{5}+\dfrac{2}{3}\)
=>\(\dfrac{18}{7}-3x=\dfrac{-12}{15}+\dfrac{10}{15}=\dfrac{-2}{15}\)
=>\(3x=\dfrac{18}{7}+\dfrac{2}{15}=\dfrac{270}{105}+\dfrac{14}{105}=\dfrac{284}{105}\)
=>\(x=\dfrac{284}{315}\)
c: \(\dfrac{1}{6}-\dfrac{3}{8}+1,75=3\dfrac{4}{3}-x\)
=>\(\dfrac{13}{3}-x=\dfrac{4}{24}-\dfrac{9}{24}+\dfrac{42}{24}=\dfrac{37}{24}\)
=>\(x=\dfrac{13}{3}-\dfrac{37}{24}=\dfrac{108}{24}-\dfrac{37}{24}=\dfrac{71}{24}\)
d: \(\dfrac{1}{6}-\dfrac{4}{9}+0,125=2\dfrac{4}{3}-2x\)
=>\(\dfrac{10}{3}-2x=\dfrac{-11}{72}\)
=>\(2x=\dfrac{10}{3}+\dfrac{11}{72}=\dfrac{240}{72}+\dfrac{11}{72}=\dfrac{251}{72}\)
=>\(x=\dfrac{251}{144}\)
e: \(2\dfrac{2}{3}-4x=\dfrac{-7}{5}+\dfrac{2}{3}\)
=>\(2+\dfrac{2}{3}-4x=\dfrac{-7}{5}+\dfrac{2}{3}\)
=>\(2-4x=-\dfrac{7}{5}\)
=>\(4x=2+\dfrac{7}{5}=\dfrac{17}{5}\)
=>\(x=\dfrac{17}{20}\)
f: \(\dfrac{1}{2}-\left(x+\dfrac{1}{3}\right)=\dfrac{5}{6}\)
=>\(x+\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{5}{6}=\dfrac{3}{6}-\dfrac{5}{6}=\dfrac{-2}{6}=-\dfrac{1}{3}\)
=>\(x=-\dfrac{1}{3}-\dfrac{1}{3}=-\dfrac{2}{3}\)
g: \(\left(\dfrac{3}{5}-\dfrac{4}{3}\right)+\left(\dfrac{5}{8}-x\right)=\dfrac{9}{7}\)
=>\(\dfrac{-11}{15}+\dfrac{5}{8}-x=\dfrac{9}{7}\)
=>\(\dfrac{-13}{120}-x=\dfrac{9}{7}\)
=>\(x=-\dfrac{13}{120}-\dfrac{9}{7}=\dfrac{-1171}{840}\)
a, \(-1,2+\dfrac{2}{3}+x=5\Leftrightarrow x=5+1,2-\dfrac{2}{3}=\dfrac{83}{15}\)
b, \(2\dfrac{4}{7}-3x=-\dfrac{4}{5}+\dfrac{2}{3}\Leftrightarrow\dfrac{18}{7}-3x=-\dfrac{2}{15}\Leftrightarrow3x=\dfrac{284}{105}\Leftrightarrow x=\dfrac{284}{315}\)
c, \(\dfrac{1}{6}-\dfrac{3}{8}+1,75=3\dfrac{4}{3}-x\Leftrightarrow-x+\dfrac{13}{3}=\dfrac{37}{24}\Leftrightarrow x=\dfrac{13}{3}-\dfrac{37}{24}=\dfrac{67}{24}\)
d, \(\dfrac{1}{6}-\dfrac{4}{9}+0,125=2\dfrac{4}{3}-2x\Leftrightarrow-2x+\dfrac{10}{3}=-\dfrac{-11}{72}\Leftrightarrow2x=\dfrac{251}{72}\Leftrightarrow x=\dfrac{251}{144}\)
e, \(2\dfrac{2}{3}-4x=-\dfrac{7}{5}+\dfrac{2}{7}\Leftrightarrow\dfrac{8}{3}-4x=-\dfrac{39}{35}\Leftrightarrow4x=\dfrac{397}{105}\Leftrightarrow x=\dfrac{397}{420}\)
f, \(\dfrac{1}{2}-\left(x+\dfrac{1}{3}\right)=\dfrac{5}{6}\Leftrightarrow x+\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{5}{6}=-\dfrac{1}{3}\Leftrightarrow x=-\dfrac{2}{3}\)
g, \(\left(\dfrac{3}{5}-\dfrac{4}{3}\right)+\left(\dfrac{5}{8}-x\right)=\dfrac{9}{7}\Leftrightarrow\dfrac{-11}{15}+\dfrac{5}{8}-x=\dfrac{9}{7}\Leftrightarrow\left(-\dfrac{13}{120}\right)-x=\dfrac{9}{7}\Leftrightarrow x=-\dfrac{1171}{840}\)
1 dislikes preparing
2 Do you enjoy doing
3 having
4 not socialising
5 explaining
6 fancies listening
7 loves spending
8 love trying
9 driving
10 not going
#\(yGLinh\)
1.my mother (dislike/prepare)...dislike preparing......the meals.
2 (enjoy/do).....Do you enjoy doing.....DIY in your freetime ?
3.I detest (have)..having.........a conversation with John
4.do you think Jane prefers (not socialise)....not socialising.....with other students ?
5.I don't mind (explain).....explaining...the problem again


i am oke am fine kìn chái nà :,)SOS
a) Nữa chu vi mảnh đất là:
90 : 2 = 45 (m)
Tổng số phần bằng nhau là:
2 + 3 = 5 (phần)
Chiều rộng là:
45 : 5 x 2 = 18 (m)
Chiều dài là:
45 - 18 = 27 (m)
Diện tích mảnh đất là:
18 x 27 = 486 `(m^2)`
b) Diện tích trồng rau là:
20% x 486 = 97,2 `(m^2)`
Diện tích trồng hoa là:
`2/9 xx 486 = 108 (m^2)`
Diện tích trồng cây ăn quả là:
486 - 97,2 - 108 = 280,8 `(m^2)`
ĐS: ...
gấp ạa