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tamaranim1 [39]
2 years ago
13

A theater has 10 seats in the first row and 30 seats in the 6th row. How many seats are in the 11th row?

Mathematics
1 answer:
boyakko [2]2 years ago
5 0

Find the difference per row:

10 seats in the first row

30 seats in the sixth row:

30 -10 = 20 seats difference.

6-1 = 5 rows difference.

20 seats /  5 rows = 4 seats per row.

This means for every additional row, there are 4 more seats per row.

The equation would be:

Sn = S +(n-1)*d

Where d is the difference = 4

S = number of seats from starting row = 10

n = the number of rows wanted

S(11) = 10 + (11-1)*4

S(11) = 10 + 10*4

S(11) = 10 + 40

S(11) = 50

Check:

Row 6 = 30 seats

Row 7 = 30 + 4 = 34 seats

Row 8 = 34 + 4 = 38 seats

Row 9 = 38 + 4 = 42 seats

Row 10 = 42 + 4 = 46 seats

Row 11 = 46 + 4 = 50 seats.

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Ulleksa [173]

I suppose you mean

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}

3x^3=3x\cdot x^2, and if we multiply x^2+3x+7 by 3x we get 3x^3+9x^2+21x. Subtracting this from the numerator gives a remainder of -5x^2-15x+9.

-5x^2=-5\cdot x^2, and multiplying x^2+3x+7 by -5 gives -5x^2-15x-35. Subtracting this from the previous remainder gives a new remainder of 44.

44 has no remaining factors of x^2 in it, so we're done, and

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}

4 0
3 years ago
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The
Bad White [126]

Answer:

4.9\%

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

so

P=\frac{x}{y}

we have

y=16\ ft^2

<em>Find the area of the hole</em>

The area of the circle (hole) is equal to

A=\pi r^{2}

we have

r=1/2=0.5\ ft ----> the radius is half the diameter

assume

\pi =3.14

substitute

A=(3.14)(0.5)^{2}

A=0.785\ ft^2

<em>Find the probability</em>

P=\frac{x}{y}

we have

x=0.785\ ft^2

y=16\ ft^2

substitute

P=\frac{0.785}{16}

P=0.0491

Convert to percentage

0.0491*100=4.91\%

Round to the nearest tenth

4.9\%

5 0
3 years ago
What is the probability of surviving 6.5 years?
Eddi Din [679]
There is not a formula for everything need more data
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3 years ago
Solve for y.<br> 15y - -9y + -10y = 14<br> y =<br> Submit
Tems11 [23]

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

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3 years ago
Simon can see two lights, light A and light B.
xz_007 [3.2K]

Answer:

2 Times

Step-by-step explanation:

Simon can see two lights A and B

  • Light A flashes every 15 seconds.
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First, we determine the next time both lights will flash together.

This is done by finding the Least Common Multiple of 15 and 18.

15=3X5

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LCM of 15 and 18=2X3^2X5=90

This means that lights A and B will first flash together after 90 seconds.

Now, 240/90=2.\overline{6} seconds

Therefore, the number of times more both light will flash together in the next 4 Minutes= 2 Times

3 0
2 years ago
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