A large multiplex movie house has many theaters. The largest theater has 44 rows. There are 20 seats in the first row. Each row has four seats more than the previous row. How many total seats are there in this theater?
Answers
Final answer:
The total number of seats in this movie theater is 4224. This is calculated using the sum of an arithmetic series formula.
Explanation:
The question describes an arithmetic sequence where each row in the theater has four more seats than the previous row. The first row has 20 seats and the last row (44th row) has seats. The total number of seats in this theater is therefore the sum of an arithmetic series formula, which is given by:
Where:
- S is the sum of the sequence
- n is the number of terms
- a is the first term
- l is the last term
So for the number of seats, we have:
So, the total number of seats in the theater is 4224.
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Related Questions
Cual es la simplificacion de 66/81
Given the geometric sequence where a1 = 3 and r = √2 find a9
Linda is planning to build a rectangular deck that is 12 feet longer than it is wide. Find its width if its area is 589 square feet. Write an equation that models this problem?
Find 45 divided by 5/11
of the course without trees?
unit
Answers
Answer:
61
Step-by-step explanation:
99 minus 38
Answer:
61 meters
Step-by-step explanation:
To find this answer, you need to subtract the length with trees from the total length of the course. With this information, you get an equation that looks something like x + 38 = 99, with x being the length of the course without trees.
Subtract 38 from both sides:
x + 38 = 99
- 38 - 38
x = 99 - 38
Simplify:
x = 61
Answers
Super Service Gratuity = 22% or 22/100 = .022
Multiple 82.64 x .022 = $18.08
Now add that amount to the bill
$82.64 + $18.08 = $100.82 is the cost of dinner
Final answer:
To calculate the total cost of dinner including a 22% tip on a bill of $82.64, calculate 22% of the bill to get the tip amount ($18.18), then add this to the bill to find the total cost ($100.82).
Explanation:
When you receive the bil for dinner that is $82.64 and you want to leave a 22% tip for the excellent service, you need to calculate the tip first. The formula to calculate the tip is the total bill amount multiplied by the tip rate. In this case, you would calculate 22% of $82.64, which equals to $18.18 (rounded to the nearest cent). Then you add this tip amount to your original bill to get the total cost. So, $82.64 (bill) + $18.18 (tip) = $100.82. Therefore, the total cost of the dinner including the tip would be $100.82.
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Answers
that way you can figure out how many pages per hour were read. so 98 times 4 is 392. so it is 392 pages per hour
The denominator says of an hour. We know that an hour lasts 60 minutes, which means 1/4 hour can simplify into
, which is
which simplifies into 15 minutes. This means that the simplified fraction is
.
Answers
Al's Awesome Autos advertised a special sale on
cars - Dealer cost plus 5%!! jack and Margaret bought a luxury sedan for
$23,727.90.what was the dealers cost? please answer! it's for an
important packet
Answers
(1 + .05) dealer's cost = 23,727.90
Dealer's cost = 23.727.90 / 1.05 = 22,598
Answers
For triangle ACB:
7^2=(AC)^2+(BC)^2 (1)
For triangle ACD:
(AC)^2=3^2+(CD)^2 (2)
For triangle DCB:
(BC)^2=(CD)^2+4^2 (3)
To make things simpler, we let
(AC)=x
(BC)=y
(CD)=z
Hence we have:
49=x^2+y^2 (1)
y^2=z^2+16 (2)
x^2=9+z^2 (3)
To solve for the unknown c, let us first substitute equation (2) in (1)
49=x^2+z^2+16
33=x^2+z^2 (4)
Then, we can substitute equation (3) in (4)
33=9+z^2+z^2
24=2z^2
z^2=12
z=2sqrt(3)
Thus, the length of z or (CD) is 2sqrt(3) in simplest radical form.