Disabled people

Dịch:người khuyết tật

Ta có:

\(36=2^2.3^2\)

\(90=2.3^2.5\)

\(\Rightarrow\)ƯCLN(36;90)=\(2.3^2=18\)

Vậy có thể chia nhiều nhất 18 tổ

Nhưng bạn ơi,nếu câu C mình sai thì bạn cũng sai à

\(B=\dfrac{1}{99.97}-\dfrac{1}{97.95}-...-\dfrac{1}{5.3}-\dfrac{1}{3.1}\)

\(B=\dfrac{1}{97.99}-\left(\dfrac{1}{95.97}+...+\dfrac{1}{3.5}+\dfrac{1}{1.3}\right)\)

Đặt \(C=\dfrac{1}{95.97}+...+\dfrac{1}{3.5}+\dfrac{1}{1.3}\)

\(C=\dfrac{1}{95.97}+...+\dfrac{1}{3.5}+\dfrac{1}{1.3}\)

\(C=\dfrac{1}{1.3}+\dfrac{1}{3.5}+...+\dfrac{1}{95.97}\)

\(C=\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+...+\dfrac{2}{95.97}\right):2\)

\(2C=\dfrac{2}{1.3}+\dfrac{2}{3.5}+...+\dfrac{2}{95.97}\)

\(2C=\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5} +...+\dfrac{1}{95}-\dfrac{1}{97}\)

\(2C=\dfrac{1}{1}-\dfrac{1}{97}\)

\(2C=\dfrac{96}{97}\)

\(C=\dfrac{96}{97}:2=\dfrac{48}{97}\)

Thay C vào ta được:

\(B=\dfrac{1}{97.99}-\dfrac{48}{97}\)

\(99B=\dfrac{99}{97.99}-\dfrac{48.99}{97}\)

\(99B=\dfrac{1}{97}-\dfrac{4752}{97}\)

\(99B=-\dfrac{4751}{97}\)

\(B=-\dfrac{4751}{97}:99=-\dfrac{4751}{9603}\)

Ta có:\(\dfrac{CA}{CB}=\dfrac{3}{5}\)

Vậy tổng số phần của đoạn AB là:

\(3+5=8\left(phần\right)\)

Độ dài đoạn CA là:

\(16:8x3=6\left(cm\right)\)

Độ dài đoạn CB là:

\(16-6=10\left(cm\right)\)

a> \(3^{200}\) và \(2^{300}\)

Ta có:\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)

          \(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)

Vì 9>8 nên \(9^{100}>8^{100}\)

\(\Rightarrow\)\(3^{200}>2^{300}\)

b> \(5^{40}\) và \(3^{50}\)

Ta có:\(5^{40}=5^{4.10}=\left(5^4\right)^{10}=625^{10}\)

         \(3^{50}=3^{5.10}=\left(3^5\right)^{10}=243^{10}\)

Vì 625 > 243 nên \(625^{10}>243^{10}\)

\(\Rightarrow\)\(5^{40}>3^{50}\)

AT

VIII.Fill in each blank with one suitable word.

Of all my relatives,i like my aunt Emily the ..........She's my ............ youngest sister.She has never married and.........alone in a small village near Bath.She's fifty years old,........she's quite young in spirit.She has fair complexion,think brown hair and dark brown eyes.She has a kind face,and when you meet ..........,the first thing you notice..........her smile.Her face is a little wrinkled now,but i think she is still rather attractive.She is the sort of person you can always go to if you ..........a problem and she's extremely generous.She likes reading ..........gardening,and she still goes........long walks over the hills.I hope i'm as active as she is when i'm at her..........