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masha68 [24]
3 years ago
5

The movie theater sells a total of 100 tickets and makes a total of $880. If the theater charges $6 per child's ticket and $10 p

er adult's ticket. How many of each type of ticket did they sell?
Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:the number of children tickets that were sold is 30.

the number of adult tickets that were sold is 70

Step-by-step explanation:

Let x represent the number of children tickets that were sold.

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

The movie theater sells a total of 100 tickets. This means that

x + y = 100

The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that

6x + 10y = 880 - - - - - - - - - - -1

Substituting x = 100 - y into equation 2, it becomes

6(100 - y) + 10y = 880

600 - 6y + 10y = 880

- 6y + 10y = 880 - 600

4y = 280

y = 280/4 = 70

x = 100 - y = 100 - 70

x = 30

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The average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation o
frosja888 [35]

Answer:

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 5

The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 36}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

1 - 0.7881 = 0.2119

So 21.19% of the students use the computer for longer than 40 minutes.

Out of 10000

0.2119*10000 = 2119

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

8 0
3 years ago
2 of a dozen eggs are cracked. What percent of the carton is NOT cracked using the percent proportion
levacccp [35]

If 2 of 12 eggs are cracked, then 10 are not cracked.

SO

10/12=5/6=about 0.83

0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)

6 0
2 years ago
What is 2 * 3 ^ 2 - 1​
juin [17]
The answer is 35.
Reasons : 2*3 = 6. 6•6= 36-1= 35.
5 0
3 years ago
Read 2 more answers
X/9 > 9 is the question and the answer is 81 but Iḿ not sure how my teacher got the answer 81
Oliga [24]

Answer:

81 < x

Step-by-step explanation:

\frac{x}{9} > 9 → x > 9 \times 9 → x > 81

* The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

5 0
3 years ago
I would appreciate if someone could answer this question I will give a brainlist for whoever explains and answers ;)
AleksandrR [38]

Answer:

Since this is a right triangle with one angle and hypotenuse given and opposite side unknown, we can use the definition of sine to find the unknown side.

sin 17 = x/hypotenuse = x/19

x = 19sin17 = 5.6

4 0
2 years ago
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