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a: x=5/6-1/2=1/3
b: x=3/4-1/4=1/2
c: x=3/10+1/5=1/2
d: x=5/6-1/3=1/2
e: x=1/2-3/10=5/10-3/10=2/10=1/5
f: x=3/8-1/4=1/8
Bài 2:
1: 3x-1,7=1,5*3
=>3x-1,7=4,5
=>3x=4,5+1,7=6,2
=>\(x=\dfrac{6.2}{3}=\dfrac{62}{30}=\dfrac{31}{15}\)
2: \(2x-15=35\cdot\left(-1\right)^{10}\)
=>2x-15=35
=>2x=35+15=50
=>x=50/2=25
3: \(\dfrac{x}{-12}=\dfrac{-20}{6}\)
=>\(\dfrac{x}{12}=\dfrac{20}{6}=\dfrac{10}{3}\)
=>\(x=\dfrac{10}{3}\cdot12=10\cdot4=40\)
4: \(\dfrac{1}{4}x-50\%x=-1\dfrac{3}{4}\)
=>\(\dfrac{1}{4}x-\dfrac{1}{2}x=-\dfrac{7}{4}\)
=>\(-\dfrac{1}{4}x=-\dfrac{7}{4}\)
=>x=7
5: \(\dfrac{x}{1\cdot2}+\dfrac{x}{2\cdot3}+...+\dfrac{x}{99\cdot100}=\left(-10\right)^2\)
=>\(x\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{99\cdot100}\right)=100\)
=>\(x\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)=100\)
=>\(x\left(1-\dfrac{1}{100}\right)=100\)
=>\(x\cdot\dfrac{99}{100}=100\)
=>\(x=100:\dfrac{99}{100}=\dfrac{10000}{99}\)
Bài 1:
1: \(\dfrac{1}{4}+\left(\dfrac{1}{2022}+\dfrac{3}{4}\right)\)
\(=\dfrac{1}{4}+\dfrac{1}{2022}+\dfrac{3}{4}\)
\(=1+\dfrac{1}{2022}=\dfrac{2023}{2022}\)
2: \(\dfrac{3}{19}\cdot\dfrac{-5}{17}+\dfrac{3}{19}\cdot\dfrac{-12}{17}+2022\dfrac{3}{19}\)
\(=\dfrac{3}{19}\left(-\dfrac{5}{17}-\dfrac{12}{17}\right)+2022+\dfrac{3}{19}\)
\(=-\dfrac{3}{19}+\dfrac{3}{19}+2022=2022\)
3: \(2,86\cdot4+3,14\cdot4-6,01\cdot5+3^2\cdot\left(-1\right)^{20}\)
\(=4\left(2,86+3,14\right)-30,05+9\)
\(=4\cdot6-30,05+9\)
=2,95
4: \(2,5\left(4,1-3-2,5+2\cdot7,2\right)+4,2:4\)
\(=2,5\left(1,1-2,5+14,4\right)+1,05\)
\(=2,5\cdot13+1,05=32,5+1,05=33,55\)
Chiều cao mảnh vườn là:
12 x \(\dfrac{2}{3}\) = 8 (m)
Diện tích mảnh vườn là:
12 x 8 = 96 ( m2)
ĐS: 96 m2
\(\Leftrightarrow x+3\in\left\{1;-1;2;-2;4;-4\right\}\)
hay \(x\in\left\{-2;-4;-1;-5;1;-7\right\}\)
Nam và nữ có thể cư xử .......... trong tình huống này.
(Sự khác biệt)
95. D
96. by heart
97. went
98. in
99. advance
100. whole
101. In Electronics, they learn to repair household appliances.
102. Listening to music at home is more interesting than going to the concert.
103. to
104. costs
105. see
106. the most
107. To many people, their friends are the most important things to their life.
108. It's not easy to find an apartment in a big city.
109. to
110. lot
111. On
112. pleasure
113. What kinds of music can Lan play?
114. Could you show me the way to the supermarket, please?
115. marbles
116. than
117. twenty-minute
118. How often
119. They give Lan toys and clothes for her birthday.
120. When Marie grew up, she went to Paris to study Mathematics and Chemistry at university.
121. ice
122. the
123. check-up
124. the more