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marshall27 [118]
2 years ago
8

The school that rob goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 22 senior c

itizen tickets and 10 child tickets for a total of $126. The school took in $51 on the second day by selling 3 senior citizen tickets and 9 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Mathematics
1 answer:
Naddik [55]2 years ago
5 0

Answer: price of a senior citizen ticket = $3.71

Let the price of a child ticket = $4.43

Step-by-step explanation:

Let the price of a senior citizen ticket = x

Let the price of a child ticket = y

On the first day of ticket sales the school sold 22 senior citizen tickets and 10 child tickets for a total of $126. This will be:

22x + 10y = 126 ............ i

The school took in $51 on the second day by selling 3 senior citizen tickets and 9 child tickets. This will be:

3x + 9y = 51 ........... ii

22x + 10y = 126 ............ i

3x + 9y = 51 ........... ii

Multiply equation i by 3

Multiply equation ii by 22

66x + 30y = 378 ....... iii

66x + 198y = 1122 ........ iv

Subtract iii from iv

168y = 744

y = 744/168

y = 4.43

Since 3x + 9y = 51

3x + 9(4.43) = 51

3x + 39.87 = 51

3x = 51 - 39.87

3x = 11.13

x = 11.13/3

x = 3.71

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5 0
3 years ago
What is the solution set of [1/x-2]<-2
slavikrds [6]

Step-by-step explanation:

1 \div (x - 2) + 2  < 0

(1 + 2x - 4) \div ( x- 2) < 0

(2x - 3)  \div (x - 2) < 0

Hence

You have to put:

2x  - 3 > 0

And

x - 2 > 0

Which results in:

x > 3 \div 2

And

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The solution is:

3 \div 2 < x < 2

7 0
2 years ago
Evaluate 3.6/ x for x =2
MakcuM [25]

Answer:

1.8

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3.6/ x for x =2

3.6/2 = 1.8

8 0
3 years ago
Read 2 more answers
What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216

is this the standard form?

5 0
3 years ago
Accountants at the Tucson​ firm, Larry​ Youdelman, CPAs, believed that several traveling executives were submitting unusually hi
77julia77 [94]

Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

6 0
3 years ago
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