How can these properties be used to solve problems? What is the componendo and dividendo rule in proportions?
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- Explain how the change in speed affects the time taken. Two numbers are such that their ratio is 3 5. If 10 is added to each number, the ratio becomes 5 7. Find the original numbers.
- Describe how to work with inverse proportionality involving roots. The electrical resistance of a wire is directly proportional to its length and inversely proportional to the square of its radius. If a wire of length L and radius R has resistance X, what is the resistance of a wire of length 2L and radius 2R?
- Set up a direct proportion equation and solve for y.
- 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?
- Explain the direct relationship between distance and speed when time is constant.
- Percentage Change and Proportions How do you convert a ratio to a percentage?
- 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.
- Use the given ratio to determine the amount of flour needed.
- Divide the total amount according to the given ratio.
- What is a triplicate ratio?
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