Answer:
Temperature at midnight is [tex]-15.9[/tex] °F.
Step-by-step explanation:
Given: The temperature at noon was [tex]43.6[/tex] °F. By midnight, the temperature has decreased by [tex]15.3[/tex] degrees.
To find: The temperature at midnight.
Solution:
The temperature at noon was [tex]43.6[/tex] °F.
Now, by midnight, temperature has decreased by [tex]15.3[/tex] degrees.
So, first we need to convert the temperature in °F.
We know that, [tex]F=\frac{9}{5}C+32[/tex], where F is temperature in Fahrenheit and C is temperature in Celsius.
So, [tex]F=(\frac{9}{5} \times 15.3)+32[/tex]
[tex]\implies F=59.5[/tex]
So, by midnight, temperature has decreased [tex]59.5[/tex] °F
Therefore, temperature at midnight is [tex]43.6-59.5=-15.9[/tex] °F
Hence, temperature at midnight is [tex]-15.9[/tex] °F.
