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maria [59]
3 years ago
11

The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and chil

d tickets cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater.
Mathematics
1 answer:
Vlada [557]3 years ago
3 0
If the goal is to sell at least $1500 worth of tickets then what you can do is add the 12.50+ 6.25 which well equal 18.75. Then you can divide 1500/18.75 which eqauls to 80 meaning at least 80 seats must be sold
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Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

-8x-27=-7\times 1-7\times 2x+2x

-8x-27=-7-12x

Add 27 to both sides:

-8x-27+27=-7-12x+27

-8x=-12x+20

Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

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3 years ago
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
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jolli1 [7]

Answer:

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Step-by-step explanation:

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2 years ago
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Drupady [299]

Answer:

262/365

Step-by-step explanation:

So as you can see there is no more information aout Kay on her birthday, so the chances of her birthday being on a week day is given by the total number of the weekdays of the year between the total number of days in a year, so in 2019 there are 262 weekdays, divided by 365 you get the probability that Kay´s birthday falls on a weekday.

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5 0
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elena-14-01-66 [18.8K]

Answer:

The answer is C. or 15 cm

Step-by-step explanation:

50 cm x 15 cm= 750 cm

Multiply 50 centimeters by 15 centimeters to get 750 centimeters

6 0
3 years ago
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