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zvonat [6]
3 years ago
14

On a certain hot​ summer's day, 611 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

r adults. The receipts for admission totaled $ 1143.75 . How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

298 adults and 313 children

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: children's tickets

let y: adult's tickets

So:

1.75 * x + 2 * y = 1143.75

x + y = 611 => x = 611 - y

Replacing, we are left with that:

1.75 * (611 - y) + 2 * y = 1143.75

1069.25 - 1.75 * y + 2 * y = 1143.75

- 1.75 * y + 2 * y = 1143.75 - 1069.25

0.25 * y = 74.5

y = 74.5 /0.25

y = 298

Now to calculate x:

x = 611-298

x = 313

It means that there were 298 adults and 313 children

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Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

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A basketball costs $12. there is a 7% sales tax charge on this item and shipping costs are 5.23. what is the total cost to purch
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12 + 6.07
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The product of 162 and m is the same as 17
elena-s [515]

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No

Step-by-step explanation:

Just took a test

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3 years ago
234/8 as a mixed number
uysha [10]
Calculate out how many times the denominator goes into the numerator. To do that, divide 234 by 8 and keep only what is to the left of the decimal point:
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3 years ago
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p
klasskru [66]

Answer:

99.89% of students scored below 95 points.

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 = 76.4, \sigma = 6.1

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

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

Z = \frac{95 - 76.4}{6.1}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.

99.89% of students scored below 95 points.

5 0
3 years ago
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