Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Equations
2:02 minutes
Problem 61b
Textbook Question
Textbook QuestionIn the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 20°C
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Temperature Conversion
Temperature conversion involves changing a temperature value from one scale to another, such as from Celsius to Fahrenheit or vice versa. The formulas used for these conversions are derived from the linear relationship between the two scales, allowing for accurate transformations based on specific reference points.
Celsius and Fahrenheit Scales
The Celsius (°C) and Fahrenheit (°F) scales are two different systems for measuring temperature. Celsius is based on the freezing and boiling points of water (0°C and 100°C), while Fahrenheit is based on a different set of reference points (32°F and 212°F). Understanding these scales is crucial for performing conversions accurately.
Rounding Numbers
Rounding numbers is the process of adjusting a numerical value to a specified degree of precision, often to make it simpler or more understandable. In the context of temperature conversion, rounding to the nearest tenth means adjusting the result to one decimal place, which is important for clarity and accuracy in reporting temperature values.
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