Advanced Ratio and Proportion Concepts Solve for x x/5 = 12/20.
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tỷ số và tỉ lệ 2 in 1
- A solution contains acid and water in the ratio 1 5. What percentage of the solution is acid? Solve for u 9/(4u+1) = 12/16.
- Research historical applications of ratios and proportions. What are some common types of ratio word problems (e.g., mixing, sharing, scaling)?
- How do you write a proportion?
- The sides of a quadrilateral are in the ratio 2 3 4 5. If the perimeter is 42 cm, what are the lengths of the sides? Solve for z (8z-1)/3 = (4z+5)/2.
- A train travels for 3 hours at a speed of 80 km/h and then for 2 hours at a speed of 70 km/h. What is the ratio of the distances traveled in the two parts of the journey? If x/y = 1/2, y/z = 3/4, and z/w = 5/6, find x/w.
- Explain the concept of inverse proportion. Solve for n 9/12 = 15/n.
- The volumes of two spheres are in the ratio 1 8. What is the ratio of their radii and their surface areas?
- Consider potential extensions of ratio and proportion concepts to more advanced mathematical topics. How do you compare ratios using common denominators or cross-multiplication?
- A map has a scale of 1 100,000. What is the actual distance (in km) between two points that are 5 cm apart on the map? Solve for p (4p-3)/6 = (2p+1)/3.
- Explore the concept of compound ratios. What is a direct variation, and how is it related to proportions?
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