In January, the average high temperature for Calgary is 9.9 °C greater than Winnipeg’s average high temperature. The sum of these two temperatures is

UkusakazaL 2021-06-08 Answered

In January, the average high temperature for Calgary is \(9.9 ^{\circ}C\) greater than Winnipeg’s average high temperature. The sum of these two temperatures is \(-15.5 ^{\circ}C\). What is the average high temperature in January for each of these two cities?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Luvottoq
Answered 2021-06-09 Author has 13963 answers

c=calgary

w=winnipeg
The two equations would be: \(c= w+9.9\) (as the weather in Calgary is 9.9 degrees warmer than Winnipeg) and \(-15.5= w+c\) (as the sum of the two temperatures is -15.5 degrees)

We already have the C value (\(C= w+9.9\)) so we can plug that into the other equation, as \(-15.5= w+ (w+9.9)\), which would be: \(-15.5=2w+9.9\) simplified,

then \(-25.4= 2w\) and finally \(w=-12.7\).

Putting that value into the other equation as \(-15.5= -12.7+ c,\ -15.5 + 12.7= -2.8,\) therefore \(c= 2.8\)

Answer: \(w= -12.7 c=-2.8\)

Have a similar question?
Ask An Expert
8
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more
...