cô giáo có một số kẹo, nếu chia mỗi bạn 6 cái thì thừa 3 cái, còn nếu chia mỗi bạn 8 cái thì thiếu 3 cái nhưng có 3 bạn chưa có kẹo. hỏi có tất cả bao nhiêu cái kẹo, bao nhiêu bạn ?
giúp mình với
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a: \(\dfrac{3}{5}+3\dfrac{5}{6}\left(11\dfrac{5}{20}-9\dfrac{1}{4}\right):7\dfrac{2}{3}\)
\(=\dfrac{3}{5}+\dfrac{23}{6}\left(11+\dfrac{5}{20}-9-\dfrac{1}{4}\right):\dfrac{23}{3}\)
\(=\dfrac{3}{5}+\dfrac{23}{6}\cdot2\cdot\dfrac{3}{23}=\dfrac{3}{5}+1=\dfrac{8}{5}\)
b: \(\dfrac{7}{13}\cdot\dfrac{7}{15}-\dfrac{1}{3}\cdot\dfrac{21}{39}+\dfrac{49}{91}\cdot\dfrac{8}{15}\)
\(=\dfrac{7}{13}\cdot\dfrac{7}{15}-\dfrac{1}{3}\cdot\dfrac{7}{13}+\dfrac{7}{13}\cdot\dfrac{8}{15}\)
\(=\dfrac{7}{13}\left(\dfrac{7}{15}+\dfrac{8}{15}-\dfrac{1}{3}\right)=\dfrac{7}{13}\cdot\dfrac{2}{3}=\dfrac{14}{39}\)
c: \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\cdot...\cdot\left(1-\dfrac{1}{2023}\right)\)
\(=\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{2022}{2023}\)
\(=\dfrac{1}{2023}\)
d: \(\dfrac{2}{4\cdot5}+\dfrac{2}{5\cdot6}+...+\dfrac{2}{99\cdot100}\)
\(=2\left(\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+...+\dfrac{1}{99\cdot100}\right)\)
\(=2\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)\)
\(=2\left(\dfrac{1}{4}-\dfrac{1}{100}\right)=2\cdot\dfrac{24}{100}=\dfrac{48}{100}=\dfrac{12}{25}\)
e: \(\dfrac{3}{1\cdot3}+\dfrac{3}{3\cdot5}+...+\dfrac{3}{99\cdot101}\)
\(=\dfrac{3}{2}\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+...+\dfrac{2}{99\cdot101}\right)\)
\(=\dfrac{3}{2}\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)
\(=\dfrac{3}{2}\left(1-\dfrac{1}{101}\right)=\dfrac{3}{2}\cdot\dfrac{100}{101}=\dfrac{150}{101}\)
f: \(\dfrac{10}{3\cdot6}+\dfrac{10}{6\cdot9}+...+\dfrac{10}{96\cdot99}\)
\(=\dfrac{10}{3}\left(\dfrac{3}{3\cdot6}+\dfrac{3}{6\cdot9}+...+\dfrac{3}{96\cdot99}\right)\)
\(=\dfrac{10}{3}\left(\dfrac{1}{3}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{9}+...+\dfrac{1}{96}-\dfrac{1}{99}\right)\)
\(=\dfrac{10}{3}\left(\dfrac{1}{3}-\dfrac{1}{99}\right)=\dfrac{10}{3}\cdot\dfrac{32}{99}=\dfrac{320}{297}\)
a. Năng suất = Sản lượng / Diện tích
b. Vẽ biểu đồ kết hợp (cột đường), sản lượng là cột, năng suất là đường.
Trồng trọt phát triển chủ yếu trên đảo Hô-cai-đô (Nhật Bản).
a) \(P\left(x\right)+Q\left(x\right)=x^4-2x^2+1\)
\(\Rightarrow Q\left(x\right)=x^4-2x^2+1-P\left(x\right)\)
\(=x^4-2x^2+1-\left(x^3-2x^2+x-\dfrac{1}{2}\right)\)
\(=x^4-2x^2+1-x^3+2x^2-x+\dfrac{1}{2}\)
\(=x^4-x^3+\left(-2x^2+2x^2\right)-x+\left(1+\dfrac{1}{2}\right)\)
\(=x^4-x^3-x+\dfrac{3}{2}\)
b) \(P\left(x\right)-H\left(x\right)=x^3+x^2+2\)
\(\Rightarrow H\left(x\right)=P\left(x\right)-\left(x^3+x^2+2\right)\)
\(=\left(x^3-2x^2+x-\dfrac{1}{2}\right)-\left(x^3+x^2+2\right)\)
\(=x^3-2x^2+x-\dfrac{1}{2}-x^3-x^2-2\)
\(=\left(x^3-x^3\right)+\left(-2x^2-x^2\right)+x+\left(-\dfrac{1}{2}-2\right)\)
\(=-3x^2+x-\dfrac{5}{2}\)
1: My full name is Nguyen Le Phuoc Thinh.
2: I live in Ho Chi Minh city.
3: My ethnicity is Kinh.
4: I often use smartphone.
5: I use for working
1.My telescope doesn't work as well as hers does.
2.While I was walking to school yesterday, I saw Emily crying in the hallway.
3.Two of her classmates want to become doctors when they grow up.
1 Her telescope works better than mine
2 While I was walking to school yesterday, I saw Emily crying in the hallway
3 Two classmates of her want to become doctors when they grow up
có tổng cộng 15 cái kẹo và 21 bạn.