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Yuki888 [10]
3 years ago
12

Determine the seating capacity of an auditorium with 35 rows of seats if there are 20 seats in the first row, 23 seats in the se

cond row, 26 seats in the third row, 29 seats in the forth row, and so on.
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

  2485

Step-by-step explanation:

The number of seats in row n is given by the explicit formula for an arithmetic sequence:

  an = a1 +d(n -1)

  an = 20 +3(n -1)

The middle row is row 18, so has ...

  a18 = 20 + 3(18 -1) = 71 . . . . seats

The total number of seats is the product of the number of rows and the number of seats in the middle row:

  capacity = (71)(35) = 2485

The seating capacity is 2485.

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vampirchik [111]

Set up a ratio of known to unknown:

Let X = the amount of gas needed for 500 miles:

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Cross multiply:

220x = 6000

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x = 27.27 gallons (round answer as needed).

4 0
2 years ago
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ElenaW [278]

Answer:

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Step-by-step explanation:

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3 years ago
Can you please help me out with a question
Finger [1]

The standard equation of a circle is expressed as

(x - h)^2 + (y - k)^2 = r^2

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8 0
1 year ago
Picture provided above help as soon as possible if you can !!!
coldgirl [10]

Answer:

A

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6 0
2 years ago
Can someone help me with this 2 step eqaution
Snowcat [4.5K]
The answer is:  " 40 books " .
____________________________________________
Explanation:
____________________________________________
Let "x" equal the number of books that Jill started with.  Solve for "x" :
____________________________________________
         x – (1/2)x  + 16 = 36 ;

1x – (1/2)) = (1/2)x ; 

(1/2)x + 16 = 36 ; 

Subtract "16" from EACH SIDE of the equation:

(1/2)x + 16 – 16 = 36 – 16  ; 

(1/2)x = 20 ; 

Multiply each side of the equation by "2" ; 

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____________________________________________
The answer is:  " 40 books " .
____________________________________________
5 0
3 years ago
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