Respuesta :
Answer: [tex]4.3^{\circ}F[/tex]
Step-by-step explanation:
Given: Yesterday the temperature at noon = [tex]11.4^{\circ}F[/tex]
If by the midnight, the decrease in the temperature = [tex]15.7^{\circ}F[/tex]
Now, let x be the temperature at midnight.
Then according to the question,
[tex]x=11.4^{\circ}F-15.7^{\circ}F\\\Rightarrow\ x=(11.4-15.7)^{\circ}F\\\Rightarrow\ x=4.3^{\circ}F[/tex]
hence, the temperature at midnight= [tex]4.3^{\circ}F[/tex]