Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to

we have

substitute

step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have

The new area is

The expanded form of the expression is
Apply distributive property

The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it's a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it's a parallelogram (converse of a property).
The answer to your question has been given below :
Mr. Penner has 27 hats
Ms. Blocker has (2/3 of 27) hats
=(27÷3)x2
=9x2
=18 hats
Ms. C has 3 times of Ms. Blocker's hats.
So, Ms. C has (3x18)
= 54 hats. (Ans)
Answer:
Please see explanation
Step-by-step explanation:
When two integers are being added there can be three cases in the answer
The sum will be positive if both the integers are positive and in case of addition of one positive and negative integer, the sum will be positive if the integer with larger magnitude is positive
The sum will be negative if both integers are negative and in case of addition of one positive and negative integer, the sum will be negative if the integer with larger magnitude is negative
The sum will be zero if both the integers have same magnitude and different signs.