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`Answer:`
b. \(-\left(2a-b-2c\right)+\left(-a-b\right)-\left(-2+2b-c\right)+b-1\)
\(=-2a+b+2c+-a-b+2-2b+c+b-1\)
\(=-2a-a+b-b-2b+b+2c+c+2-1\)
\(=-3a-2b+3c+1\)
c. \(\left(-46-c\right)-\left(-2+b-3\right)+\left(2c+b-a+4\right)\)
\(=-46-c+2-b+3+2c+b-a+4\)
\(=-a-b+b-c+2c-46+3+4+2\)
\(=-a+c-37\)
a) \(A=\frac{1}{1.6}+\frac{1}{6.11}+\frac{1}{11.16}+......+\frac{1}{2017.2022}\)
\(5A=5.\left(\frac{1}{1.6}+\frac{1}{6.11}+\frac{1}{11.16}+.....+\frac{1}{2017.2022}\right)\)
\(5A=\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+......+\frac{5}{2017.2022}\)
\(5A=1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+........+\frac{1}{2017}-\frac{1}{2022}\)
\(5A=1-\frac{1}{2022}\)
\(5A=\frac{2022}{2022}-\frac{1}{2022}\)
\(5A=\frac{2021}{2022}\)
\(A=\frac{2021}{2022}\div5\)
\(A=\frac{20201}{10110}\)
TL:
\(\frac{5}{6}=\frac{1}{2}+\frac{1}{3}\)
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HT
`Answer:`
\(A=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{99}}+\frac{1}{2^{100}}\)
\(\Rightarrow2A=2\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{99}}+\frac{1}{2^{100}}\right)\)
\(\Rightarrow2A=1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{98}}+\frac{1}{2^{99}}\)
\(\Rightarrow2A-A=\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{98}}+\frac{1}{2^{99}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{99}}+\frac{1}{2^{100}}\right)\)
\(\Rightarrow A=1-\frac{1}{2^{100}}\)
\(B=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{13}{60}\)
\(\Rightarrow B=\frac{20}{60}+\frac{15}{60}+\frac{12}{60}+\frac{13}{60}\)
\(\Rightarrow B=1\)
Mà \(1-\frac{1}{2^{100}}< 1\)
`=>A<B`
Chiều rộng mảnh đất đó là:
\(100\text{x}\frac{4}{5}=80\left(m\right)\)
Diện tích mảnh đất đó là:
\(100\text{x}80=8000\left(m^2\right)\)
Diện tích trồng chuối là:
\(8000\text{x}60\%=4800\left(m^2\right)\)
Đáp số: \(4800m^2\)