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Sati [7]
3 years ago
7

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tick

ets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?
Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

9514 1404 393

Answer:

  • 90 student tickets
  • 65 adult tickets

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

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givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

3 0
3 years ago
Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones ca
Helga [31]

Answer:

  6

Step-by-step explanation:

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8 0
3 years ago
Determine the quotient, q(x), and remainder, r(x) when
Vinvika [58]
ANSWER

Quotient:

q(x) = 4 {x}^{2} + 3x + 2

Remainder:

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EXPLANATION

The given functions are

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and

g(x) = 3 {x}^{2} + 3x + 4

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = 4 {x}^{2} + 3x + 2

The remainder is

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5 0
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alexdok [17]
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Lyrx [107]

Answer:

EF=22

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3 years ago
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