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Let's set up a proportion: 2/5 = 14/x, where x is the total distance. Cross-multiply and solve for x: 2x = 5 × 14, 2x = 70, x = 35. Now, use the ratio of BC to AB to find the distance traveled from B to C: 3/2 = y/14, where y is the distance traveled from B to C. Cross-multiply and solve for y: 3 × 14 = 2y, 42 = 2y, y = 21. The distance traveled from B to C is 21 units.
Marble slides rationals are essentially a type of mathematical model that uses a sliding marble to demonstrate rational numbers and proportions. The setup typically consists of a inclined plane or track with marked intervals, allowing students to slide a marble from one point to another. By adjusting the starting point and measuring the distance traveled, students can visualize and explore rational numbers, proportions, and equivalent ratios.
A marble slide has a ratio of 2:5 for the distance traveled from point A to point B. If the distance from A to B is 14 units, find the distance traveled from B to C, given that the ratio of BC to AB is 3:2.
Here are a few example problems and solutions:
A marble is released from point A and travels to point B, covering 3/4 of the distance. If the distance from A to B is 12 units, how far does the marble travel?
Marble slides, also known as rational marble slides or marble runs, are a popular educational tool used to teach students about rational numbers, proportions, and mathematical modeling. In this feature, we'll explore the concept of marble slides rationals answers, providing an in-depth look at the math behind these engaging and interactive learning experiences.
Marble slides rationals are a valuable educational tool for teaching rational numbers, proportions, and mathematical modeling. By understanding the math behind marble slides rationals and practicing problem-solving skills, students can develop a deeper understanding of mathematical concepts and build a strong foundation for future math studies.
Let's set up a proportion: 3/4 = x/12, where x is the distance traveled. Cross-multiply and solve for x: 3 × 12 = 4x, 36 = 4x, x = 9. The marble travels 9 units.
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