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wariber [46]
2 years ago
8

Tickets to a show cost $10.50 for adults and $8.50 for students. A group of friends purchased 15 tickets for $149.50. How many a

dult tickets were purchased?
Mathematics
2 answers:
kolbaska11 [484]2 years ago
5 0

x - number of adult tickets

y - number of student tickets

{10.5x + 8.5y = 149.5

{x + y = 15

{x = 15 - y

{10.5(15 - y) + 8.5y = 149.5

{x = 15 - y

{157.5 - 10.5y + 8.5y = 149.5

{x = 15 - y

{-2y = -8

{y = 4

{x = 11

They purchased 11 adult tickets.

Grace [21]2 years ago
3 0

Answer: 11 adult tickets were purchased.

Step-by-step explanation:

Let x represent the number of adult tickets that were purchased.

Let y represent the number of adult tickets that were purchased.

A group of friends purchased 15 tickets. This is expressed as

x + y = 15

Tickets to a show cost $10.50 for adults and $8.50 for students. The total cost of the tickets purchased is

$149.50. This is expressed as

10.5x + 8.5y = 149.5 - - - - - - - - - - - -1

Substituting x = 15 - y into equation 1, it becomes

10.5(15 - y) + 8.5y = 149.5

157.5 - 10.5y + 8.5y = 149.5

- 10.5y + 8.5y = 149.5 - 157.5

- 2y = - 8

y = - 8/ - 2

y = 4

x = 15 - y = 15 - 4

x = 11

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Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 75°.
AlladinOne [14]

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Answer:

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Step-by-step explanation:

Add or subtract multiples of 360° to find coterminal angles.

<u>Positive</u>

  75° +360° = 435°

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<u>Negative</u>

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5 0
3 years ago
The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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6 0
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pishuonlain [190]

Answer:

x = 35 feet.

Step-by-step explanation:

Given that,

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We can calculate using trigonometry.

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