Question

On a given day, the coldest surface temperature on the Moon, $-280$°F, is $53.6$°F colder than twice the coldest surface temperature on Earth. What is the coldest surface temperature on Earth that day?

The coldest temperature is

°F.

Question 2

Justify your answer.
please help me it's due today

Answer 1

1.)Convert Into Equation: -280=2x-53.6
2.)Simplify: -226.4=2x
3.)Isolate X: x=-113.2

X=-113.2

Answer 2

`-280 = 2X-53.6`

We can add 53.6 in both sides and we got:

`-280 +53.6 = 2X`

And now we can divide both sides by 2 and we got:

`X= (-226.4 F)/(2)= -113.2F`

Explanation:

For this case we know the following info:

`T_(min)= -280 F` represent the coldest temperature in the Moon

`X` represent the minimum temperature of Earth

And we know the following relation :"the coldest surface temperature on the Moon, $-280$°F, is $53.6$°F colder than twice the coldest surface temperature on Earth", so we can write this like that:

`-280 = 2X-53.6`

We can add 53.6 in both sides and we got:

`-280 +53.6 = 2X`

And now we can divide both sides by 2 and we got:

`X= (-226.4 F)/(2)= -113.2F`