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iogann1982 [59]
3 years ago
8

A theater has 30 rows of seats. There are 22 seats in the first row, 26 in the second row, 30 in the third row, etc. How many pe

ople will the theater hold ?
Mathematics
2 answers:
OLga [1]3 years ago
4 0

Arithmetic Sequence

rows ---------32-n

first term ------------26-----------a

d---------------------------4

Sn = n/2( 2a+(n-1)d)

=32/2 (2*26+(31)4)

=16(52+124)

=16(176)

=2816 seats

solong [7]3 years ago
4 0

Total rows of seats, n = 30 rows of seats

First row, A1 = 22 seats

Second row, A2 = 26 seats

Third row, A3 = 30 seats

d = A3 - A2 = A2 - A1 = 4

then,

Sn = n/2 (2A1 + (n - 1)d)

Sn = 30/2 (2*22 + (30 - 1)4)

Sn = 15(44 + 116)

Sn = 2400 people

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Can some one explain in an easy way pls
Helga [31]
What needs to be done first is to add up females and males that have passed.

42 + 14 = 56

so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75

out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

NOW WE ARE DOING FAILS.

15 + 5 = 20

so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75

out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25

check work; 0.75 + 0.25 = 1.00

i hope this helped! :)

7 0
2 years ago
Find the probability of drawing a green card, not replacing it, and then drawing another green card.
IRISSAK [1]

Answer:

1/15

Step-by-step explanation:

This is probably too late but I'll do it anyway.

There are 10 cards in all.

of the 10, 3 are green.

So your chance of drawing the first green is 3/10

Now you have 9 cards in total left.

Two of them are green

Your chance of drawing a green card again is 2/9

Your total chance of drawing 2 green cards is

2/9 * 3/10 = 6/90

2/9 * 3/10 = 1/15

7 0
3 years ago
You need 112 K-cups for a party. A box of K-cups costs $16 for 36 K-cups. What is the minimum amount of money you will spend?
makkiz [27]

Answer:

$49.60

Step-by-step explanation:

The equation setup I used for this was as follows: $16 x (112/36)

Using PEMDAS, you'd start with the division part, 112/36. Although, I did this a bit differently, and being a bit further in school, I don't know if you go through this where you're at.

Start by factoring 112 into 4(28). This leaves you with 4(28)/36.

Next, cancel 4 out of 36. Since 4 is the common factor in 28 and 36, you cancel the four out of the equation, leaving you with 28/9. Convert this to its decimal form, 3.1.

Finally, take the 3.1 and multiply that by $16, which comes out to $49.60.

5 0
3 years ago
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Wh
sukhopar [10]

Answer:

Step-by-step explanation:12

4 0
3 years ago
Read 2 more answers
Determine if the following series converges or diverges. Show steps!
MAXImum [283]
Converges by p series test
top section is almost constant, can never be larger than 3
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converges absolutely.
3 0
3 years ago
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