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?…

Question

asked Aug 28, 2022 201k views

1 Answer

Banjara · Answer 1 · 2022-09-01T23:19:54+0000

Answer:

$T^\circ = -12^\circ$

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
$-12^\circ$