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svetoff [14.1K]
3 years ago
15

A theater sold 4 adult tickets and 3 child tickets for 156 dollars they also sold 3 adult tickets and 4 child tickets for 145 do

llars. How much are adult and child tickets
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer: Adult tickets cost 27 dollars while Child tickets cost 16 dollars

Step-by-step explanation: The question clearly states that adult tickets and child tickets are sold for a combined total sales amount. However the combination of adult and child tickets always yield a different sales total depending on the mix of tickets. This implies that both tickets have different amounts attached to them.

For a start, we shall assign an alphabet to each of the unknown ticket values. Let’s assume that adult tickets are represented by letter A, and child tickets are represented by B. If 4 adult and 3 child tickets are sold for 156 dollars, then what we have is

4A + 3B = 156 —————(1)

Also if 3 adult tickets and 4 child tickets are sold for 145 dollars, then what we have here is

3A + 4B = 145 ————-(2)

Now we have a pair of simultaneous equations which are;

4A + 3B = 156 —————(1)

3A + 4B = 145 —————(2)

We shall apply the elimination method to solve for A and B. First of all we shall eliminate the coefficients of A by multiplying equation (1) with 3, and multiplying equation (2) with 4. This now gives us

12A + 9B = 468 ———-(3)

12A + 16B = 580 ———(4)

Subtract equation 3 from equation 4 and we arrive at

7B = 112

(Note that 12A - 12A = 0)

Divide both sides of the equation by 7

B = 16

Having that in mind, we shall now substitute for the value of B = 16 in equation 1.

4A + 3B = 156

4A + 3(16) = 156

4A + 48 = 156

Subtract 48 from both sides of the equation

4A = 108

Divide both sides of the equation by 4

A = 27

Hence, adult tickets are sold for 27 dollars while child tickets are sold for 16 dollars.

Aleks04 [339]3 years ago
4 0

Answer:

371

Step-by-step explanation:

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because both numbers are divisible by 16

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2 years ago
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A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb
Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation?  </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225)^{2} + (–425)^{2}+ (–275)^{2} + (325)^{2} + (75)^{2}+ (–75)^{2} = 423,750

(650)^{2} + (–150)^{2} + (–600)^{2} + (250)^{2} + (150)^{2} + (–300)^{2} = 980,000

(250)^{2} + (–400)^{2} + (–250)^{2} + (350)^{2} + (100)^{2} + (–50)^{2} = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

8 0
1 year ago
A race walker completed 913 mile walk in 2.5 hrs. What is the walkers speed? Please show work
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The walker's speed is 

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(Hey, I just solve um.  I don't get into the philosophy.)


4 0
3 years ago
HELPPP PLEASEEEEEE!?!?!
DiKsa [7]

a straight line is 180 degrees so we can find C by subtracting 140 from 180

180-140 = 40 degrees

all 3 inside angles need to equal 180 so now we have

180 = 40 + (2x) + (x+2)

180 =  40 +3x +2

180=42+3x

138=3x

x= 138/3 = 46


 check : 2x= 2*46 = 92

x+2 = 46+2 = 48

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