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aleksandr82 [10.1K]
3 years ago
7

One night, it is 24LaTeX: ^\circ

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

T^\circ  = -12^\circ

Step-by-step 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

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