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sergij07 [2.7K]
3 years ago
12

Stacey is selling tickets to the school play. The tickets are $8 for adults and $3 for children. She sells twice as many adult t

ickets as children's tickets and brings in a total of $456. How many of each kind of ticket did she sell?
Mathematics
1 answer:
Leona [35]3 years ago
6 0

48 adult tickets and 24 children tickets were sold.

Step-by-step explanation:

Given,

Cost of one adult ticket = $8

Cost of one child ticket = $3

Total worth of sold tickets = $456

Let,

Number of adult tickets sold = x

Number of child ticket sold = y

According to given statement;

8x+3y=456     Eqn 1

x = 2y              Eqn 2

Putting value of x from Eqn 1 in Eqn 2

8(2y)+3y=456\\16y+3y=456\\19y=456

Dividing both sides by 19

\frac{19y}{19}=\frac{456}{19}\\y=24

Putting y=24 in Eqn 2

x=2(24)\\x=48

48 adult tickets and 24 children tickets were sold.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11253316
  • brainly.com/question/11258952

#LearnwithBrainly

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Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results
zmey [24]

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • He makes 90% of the free throws, hence p = 0.9.
  • He is going to shoot 3 free throws, hence n = 3.

The probability that he makes exactly 1 is P(X = 1), hence:

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

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use
konstantin123 [22]

Answer:

f(x)=5120(5)^{x}

Step-by-step explanation:

From the image, f(x) and x are rlated by

f(x)=a( {b})^{x}

where b is the common ratio

We first find the value for b

\frac{6400}{5120}= 5

\frac{8000}{6400}= 5

\frac{10000}{8000} = 5

\frac{12500}{10000} = 5

\frac{15625}{12500}=5

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

5120 = a(5)^{0}

but

5^{0} = 1

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

f(x)=5120(5)^{x}

6 0
3 years ago
10 + 2n = 8n - 2n + 10
galina1969 [7]

Answer:

n=0

Step-by-step explanation:

Rearrange

10+2=8−2+10

2+10=8−2+10

Combine like terms

2n+10=<u>8n−2n</u>+10

2+10=<u>6</u>+10

Subtract from both sides

2+10=6+10

2+10<u>−10=</u>6+10<u>−10</u>

Simplify

2n=6n

Subtract both sides from 6n of the equation

2=6

2<u>−6</u>=6<u>−6</u>

Solution

n=0

5 0
3 years ago
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
Alja [10]

Answer:

the first one is the answer

3 0
3 years ago
Read 2 more answers
A complete graph is defined as what ???
galina1969 [7]

Answer:

A complete graph is a graph in which each pair of graph vertices is connected by an edge. The complete graph with graph vertices is denoted and has (the triangular numbers) undirected edges, where is a binomial coefficient. In older literature, complete graphs are sometimes called universal graphs.

Step-by-step explanation:


3 0
3 years ago
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