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3 years ago

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]3 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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NemiM [27]

Answer:

Measure of angle 3: C (46 degrees)

Step-by-step explanation:

As there is no attachment, I will assume the question is in reference to a triangle. Knowing that a triangle contains 3 angles the answer can be retrieved through simple steps:

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Through substitution + algebra:

134 + m∠3 = 180,

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8 0

3 years ago

Factor the expression below. x2 - 4x + 4 A. 4(x2 - x + 1) B. (x - 2)(x + 2) C. (x + 2)(x + 2) D. (x - 2)(x - 2)

Tanzania [10]

Answer:

D. (x - 2)(x - 2)

Step-by-step explanation:

x2 - 4x + 4 = x² - 2x - 2x +4

= x(x-2) - 2(x - 2)

= (x-2)(x-2)

HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)

4 0

3 years ago

Carpenter A charges $50 an hour. Carpenter B charges $20 to visit your home plus $45 for each hour. For how many hours will the

umka2103 [35]

Answer:

4 hours to pay the same amount

and aif you want a 3 hours work you should get carpenter A

Step-by-step explanation:

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carpenter A for 3 hours:

$50 \times 3 = 150dollars \\$

carpenter B for 3 hours:

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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

yarga [219]

Answer:

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Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

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The equation of circle is:

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

Where, $(h, k)$ represents the center point and $r$ is the radius of the circle.

Plotting the values in the equation:

$(x-5)^2+(y-2)^2=3^2\\$

$(x-5)^2+(y-2)^2=9\\$

This is the equation of the circle of center (5, 2) and radius 3.

6 0

3 years ago

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Jet001 [13]

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Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.

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Now the given graph has asymptote at x=-2

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so that means we need shift f(x), 2 unit down hence we get:

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but that will disturb the y-intercept (0,1)

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3 years ago