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melisa1 [442]
3 years ago
11

The Fairview High School community of 1854 students and 58 teachers attended a special performance of a play at a local theatre.

The theatre has 49 rows, with 48 seats in each row.
a) Were any seats empty? How do you know?
b) If your answer to part a is yes, find the number of empty seats.
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

a) yes, as the number of seats (2352) is larger than the total audience (1912)

b) 440 empty seats

Step-by-step explanation:

a) total number of seats = number of rows x number of seats in each row

total number of seats = 49 x 48

total number of seats = 2352 seats

total audience = 1854 students + 58 teachers

total audience = 1912 people

b) empty seats = total number of seats - total audience

empty seats = 2352 - 1912

empty seats = 440

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Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

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The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


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A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the ci
KATRIN_1 [288]

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

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Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

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