What is a reciprocal ratio? How can ratios be used to compare changes in quantities?
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- How can ratios highlight disparities?
- What are some common statistical ratios? Consider ethical implications of using ratios (e.g., in resource allocation, comparing inequalities).
- How are proportions important in structural design? How are ratios used in environmental science (e.g., pollution ratios)?
- Explain the relationship between the ratio of linear dimensions and the ratio of volumes of similar solids.
- When might ratios provide an incomplete or misleading picture?
- Describe the process of reducing a ratio to its simplest form.
- Describe the difference between absolute and relative change. If a quantity is increased by 25%, what is the new quantity as a ratio of the original quantity?
- Describe how to find individual parts when their ratio and total sum are known. A mixture contains sand and cement in the ratio 5 2. If the total weight of the mixture is 35 kg, how much sand and cement are there?
- Provide examples of how these aids can be used.
- Explain Newton's Law of Universal Gravitation in terms of proportionality. A recipe for 6 servings requires 1.5 cups of flour. How much flour is needed for 10 servings?
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