Question

Yesterday, the temperature at noon was 43.6 °F. By midnight, the temperature has decreased by 15.3 degrees. What was the temperature at midnight?

Answer 1

Answer:

Temperature at midnight is $-15.9$ °F.

Step-by-step explanation:

Given: The temperature at noon was $43.6$ °F. By midnight, the temperature has decreased by $15.3$ degrees.

To find: The temperature at midnight.

Solution:

The temperature at noon was $43.6$ °F.

Now, by midnight, temperature has decreased by $15.3$ degrees.

So, first we need to convert the temperature in °F.

We know that, $F=\frac{9}{5}C+32$, where F is temperature in Fahrenheit and C is temperature in Celsius.

So, $F=(\frac{9}{5} \times 15.3)+32$  

$\implies F=59.5$

So, by midnight, temperature has decreased $59.5$ °F

Therefore, temperature at midnight is $43.6-59.5=-15.9$ °F

Hence, temperature at midnight is  $-15.9$ °F.