Question

One night, it is 24LaTeX: ^\circ

∘

C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

PLEASE ANSWER QUICK!!!!!!!!!

Answer 1

`T^\circ = -12^\circ`

Explanation:

Given

Represent the temperature in Tucson with T and that in Minneapolis with M.

From the first statement, we have:

`T^\circ = M^\circ - 24^\circ`

From the second, we have:

`T^\circ = -M^\circ` or
`M^\circ = -T^\circ` --- i.e. both are opposite numbers

Required

Find T

To calculate T, substitute -T for M in
`T^\circ = M^\circ - 24^\circ`

This gives:

`T^\circ = -T^\circ - 24^\circ`

Collect Like Terms

`T^\circ +T^\circ =- 24^\circ`

`2T^\circ =- 24^\circ`

Make T the subject

`T^\circ =- 24^\circ/2`

`T^\circ = -12^\circ`

Hence, the temperature in Tucson is
`-12^\circ`