Gabby’s goal is to save more than $400. She saves $20 per week plus $50 initially. Let we b the number of week.
1 answer:
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Answer:
Part A:- Part B:-
part C:-
Part D:- Yes it satisfy his requirement
Step-by-step explanation:
Given that,
length and breadth of Trapdoor are ft.
The Outside length of Rectangle is ft.
Part A:- Total area (in square feet) of the stage can be represented by
. Write an expression for the width of stage.
So, Area of rectangle =
ft. ................(1)
Part B:- Write an expression for the Perimeter of the stage.
Here, Perimeter of Rectangle =
=
=
Part C:- The area of trapdoor is . Find the value of x.
So, Area of trapdoor =
,
,
Hence value of x is (Neglecting the negative value because
length cannot be negative).
Part D:- The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.
So, Length of trapdoor is
breadth of trapdoor is
Now, outside length of Rectangle is =
And outside breadth of rectangle is =
Here, Area of trapdoor = ...................(2)
Area of rectangle = ....................(3)
Thus comparing Equation (1) & (2) we found that
Area of rectangular stage is 20 times greater than the area of trapdoor.