All categories

2 years ago

A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a

Mathematics

1 answer:

Ludmilka [50]2 years ago

5 0

The quantity of each type of seats sold are as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

5y + z = 3000..…........eqn(3) and

115y + 15z = 53000.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

You might be interested in

8 less a number is less than or equal to 17

mylen [45]

Answer:

less than

Step-by-step explanation:

8 is less than 17

3 0

2 years ago

Read 2 more answers

Refer to the attachment and solve

Gekata [30.6K]

Answer:

$-8\frac{5}{8}$

Step-by-step explanation:

$\frac{-27}{4} +\frac{-15}{8}$

$\frac{-54}{8} +\frac{-15}{8}$

$\frac{-54-15}{8}$

$\frac{-69}{8}$

$-8\frac{5}{8}$

6 0

2 years ago

A sphere has a radius of 7 millimeters. A second sphere has a radius of 4 millimeters. What is the difference of the volumes of

sattari [20]

The difference would be 371 1/3

3 0

2 years ago

What are the solutions to the equation -54 + 6x = 0

Sladkaya [172]

Answer:

x=9

Step-by-step explanation:

-54 + 6x = 6 • (x - 9)
Solve : 6 = 0
Solve : x-9 = 0
Add 9 to both sides of the equation : x = 9

7 0

2 years ago

Read 2 more answers

You have two parents, four grandparents, eight greatgrandparents, and so forth.

Leviafan [203]

A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or $2^{2}$ ancestors.
In the third generation we have 8 ancestors ot $2^{3}$ ancestors.

We can see that each succesive generation has two times more members. The sum is:
$2+4+8+16+...+ 2^{40}$

To calculate number of ancestors we can use formula for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
 $S= a_{1} * \frac{1- r^{n} }{1-r}$
Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
 $S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550$

b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = $10^{10}$
Number of ancestors in 40 generations = $2.2*10^{12}$

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.

8 0

3 years ago