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How can you test if two proportions are equivalent?
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tỷ số và tỷ lệ 2in1
- When might ratios provide an incomplete or misleading picture?
- Explain the steps involved in solving mixture problems with profit considerations. A container holds a mixture of milk and water in the ratio 5 2. If 14 liters of water are added, the ratio becomes 5 4. Find the initial quantity of milk.
- Give an example of an inverse proportion. If y is inversely proportional to x, and y = 6 when x = 3, find y when x = 2.
- Explain how to solve problems involving work rates and time. A boat travels upstream at a speed of 8 km/h and downstream at a speed of 12 km/h. What is the ratio of the time taken to travel a certain distance upstream to the time taken to travel the same distance downstream?
- Explain how interest calculations relate to proportional growth.
- Explain the steps involved. How do you convert a percentage to a ratio?
- Use direct proportion between distance and time.
- Give examples of typical mistakes. How can visual aids (e.g., diagrams, bar models) help in understanding and solving ratio and proportion problems?
- What does a scale of 1 100000 mean on a map? How are ratios used in models?
- How are angles related in similar figures? What is the relationship between ratio, rate, and unit rate?
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