To convert the freezing point of a mixture of 60% ethylene glycol and 40% water from Celsius to Fahrenheit, we follow the formula for converting temperatures between these scales. The formula we will use is:
[tex]\[ F = \left( \frac{9}{5} \times C \right) + 32 \][/tex]
Where:
- \( F \) is the temperature in Fahrenheit,
- \( C \) is the temperature in Celsius.
Given:
[tex]\[ C = -45^{\circ}C \][/tex]
Step-by-Step Solution:
1. Substitute the given Celsius temperature into the formula:
[tex]\[ F = \left( \frac{9}{5} \times (-45) \right) + 32 \][/tex]
2. Multiply -45 by \( \frac{9}{5} \):
[tex]\[ \frac{9}{5} \times (-45) = -81 \][/tex]
3. Add 32 to the result:
[tex]\[ F = -81 + 32 \][/tex]
4. Calculate the final result:
[tex]\[ F = -49 \][/tex]
Thus, the temperature in degrees Fahrenheit is [tex]\( -49^{\circ}F \)[/tex].
