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Xelga [282]
3 years ago
9

Please help

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer: 3.(4x,4y)

Step-by-step explanation:

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Solve for n.<br><br> 11(n – 1) + 35 = 3n<br><br> n = –6<br> n = –3<br> n = 3<br> n = 6
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Answer:

-3 =n

Step-by-step explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n +24 -11n = 3n -11n

24 = -8n

Divide each side by -8

24/-8 = -8n/-8

-3 =n

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8 = y + 3 solve for the variable
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8 = y + 3 \\  - 3 - 3 \\ 5 \\ y = 5
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In a designated VIP seating section there must be an odd number of seats in each row and each row must have two more seats than
Vikki [24]

Let n be the total number of rows and there are x seats is the 1st row where x is an odd natural number.

As each row must have 2 more seats than the one before it, so

Number of seats in 2nd row = x+2

Number of seats in 3rd row = x+2+2=x+2x2

Number of seats in 4th row = x+2+2+=x+2x3

Similarly, the number of seats in (n-1)th row =x+2x(n-1)

the number of seats in n^{th} row, i.e last row  =x+2x n.

As the front row must have one-quarter of the total seats in the back 2 rows combined, so

x =\frac 1 4 ( x+2\times(n-1) + x+2\times n) \\\\\Rightarrow 4x=2x+4n-6 \\\\\Rightarrow 4x-2x=4n-6 \\\\\Rightarrow 2x=4n-6 \\\\\Rightarrow x=2n-3\cdots(i)

So, the number of seats in the 1st row, x, and the total number of seats, n, must satisfy the equation (i).

For x>0, n\geq 3.

So, for n=3 rows

The number of seats in the 1st row, x= 2x3-3=3.

The number of seats in the 2nd row, = 3+2=5 as in subsequent rows, there will be 2 more seats.

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n can have any integral values satisfying  n\geq 3.

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