Answer:
x>-4
Step-by-step explanation:
Divide by negative 4 on both sides, and since its a negative, you have to flip the inequality sign, so it comes out to be x> -4
2.5 * 3.5 = 8.75 or 8 3/4 inches long
Length = 2 breadth +6
perimeter= 4(length+ breadth)
168=4(2breadth +6+breadth
42={3breadth+6)
14=breadth +2
breadth =12
length=30
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Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
Answer:
The sign would be 784 ft. long.
Step-by-step explanation:
The sign would be painted across the total perimeter of the building.
- the distance across the front of the store is 294 feet
- the distance from the front to the back is one third of this distance = (1/3) × 294 = 98 ft.
The perimeter of a rectangular = 2(L + B)
L = length of the building = 294 ft.
B = Breadth of the building = 98 ft.
Perimeter of the chocolate factory that the Sign would be painted across = 2(294 + 98) = 784 ft.
Hope this Helps!!!