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mojhsa [17]
3 years ago
12

Trevon’s school is selling tickets to a fall musical. On the first day of ticket sales the school sold 13 adult tickets and 12 s

tudent tickets for a total of $211. The school took in $65 on the second day by selling 5 adult tickets and 3 student tickets. What is the price of one adult ticket and one student ticket?
Write two separate equations and what is the price of one adult ticket and one student ticket.
Mathematics
1 answer:
julsineya [31]3 years ago
7 0

9514 1404 393

Answer:

  • adult: $7
  • student: $10

Step-by-step explanation:

Let a and s represent the prices of adult and student tickets, respectively.

  13a +12s = 211 . . . . . . ticket sales the first day

  5a +3s = 65 . . . . . . . ticket sales the second day

Subtracting the first equation from 4 times the second gives ...

  4(5a +3s) -(13a +12s) = 4(65) -(211)

  7a = 49 . . . . . . . simplify

  a = 7 . . . . . . . divide by 7

  5(7) +3s = 65 . . . . substitute into the second equation

  3s = 30 . . . . . . . subtract 35

  s = 10 . . . . . . . divide by 3

The price of one adult ticket is $7; the price of one student ticket is $10.

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7nadin3 [17]

<em><u>Problem One</u></em>

Remark

You don't pay a sales tax until cash is exchanged for goods or services.

So what is 70% off

Solution

Sale price = given price * (100% - 70%)

Sale Price = 72 * 30%

Sale Price = 72 * 30/100

Sale Price = 72 * 0.3

Sale Price = 21.6 dollars.

The sales tax is 5% of this amount

21.6 * 5/100 = 1.08

The total cost is = 21.6 + 1.08 = 22.68

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If they marked up 100%, effectively they doubled the price.

New Price = old price + 100% of old price.

New Price = 48.50 + 48.50 = 97 dollars.

The sales tax is 6% * 97 = 6/100 * 97 = 5.82

Total Cost = Cost of item + Tax

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s) the degree of th
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Answer:

Degree of the function = 5

y-intercept = (0, 12)

Step-by-step explanation:

Degree of a polynomial function is determined by the degree of the term having highest degree.

In the given function,

f(x) = -(x + 1)²(2x - 3)(x + 2)²

(x + 1)² → highest degree term = x²

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When we multiply these terms,

(x + 1)²(2x - 3)(x + 2)² highest degree term of the function will be,

x^{2} \times x \times x^{2} = x^{5}

Therefore, degree of the function = 5

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f(0) = -(0 + 1)²(0 - 3)(0 + 2)² = 12

Therefore, y-intercept of the function is (0, 12)

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