Question

Please help I’ll mark you as brainliest if correct!

Answer 1

Answer:

24 degrees

Step-by-step explanation:

If we assume the temperature at midnight to be $x$, then we can list the following sequence of temperature changes:

• At midnight ⇒ $x$

• At 5 A.M. ⇒ $x - 16$                   (16 less than $x$)

• At 9 A.M ⇒ $2(x - 16)$               (Double of temp. at 5 A.M.)

• At noon ⇒ $2(x - 16) + 11$        (11 more than temp. at 9 A.M.)

From the question, we know that the temperature at noon was 27 degrees.

∴ $2(x - 16) + 11 = \bf 27$

Now, to find the temperature at midnight, we can simply solve for x:

$2(x - 16) + 11 = 27$

⇒ $2x - 32 + 11 = 27$         (Distributing the 2 and expanding brackets)

⇒ $2x - 21 = 27$

⇒ $2x = 27 + 21$                 (Adding 21 to both sides)

⇒ $2x = 48$

⇒ $x = \bf 24$

Therefore, the temperature at midnight was 24 degrees.

Answer 2

Answer: 24 degrees

Step-by-step explanation:

Solve the problem backwards.

27-11=16

16/2=8

8+16=24 degrees