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weeeeeb [17]
3 years ago
7

illian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for o

pening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

10.50a + 3.75b = 2071.50

3.75x82 = 307.50

2071.50-307.50 = 1764

10.50a = 1764

a = 1764/10.50 = 168

168 adult tickets were sold

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Step-by-step explanation:

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3 years ago
tickets to a production of a midsummer night's dream at broward college cost $5 for general admission or $4 with a student ID. I
Elena-2011 [213]

Answer:

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184 - 76 = 108

108 * 4 = 432

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Step-by-step explanation:

7 0
3 years ago
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three diff
igor_vitrenko [27]

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}

(a)

The number of fliers the automobile dealership sent​ out is, <em>n</em> = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

E(X)=\sum x\times P(X=x)

         =[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}

           =\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

8 0
3 years ago
What’s the slope of this graph? Can y’all guys help please ! Thank y’all
Anvisha [2.4K]

Answer:

3

Step-by-step explanation:

we can think of the <em>slope</em> of a graph as \frac{rise}{run}

the "rise" is the difference in y-values between two points (the change in y)

the "run" is the difference in x-values between two points (the change in x)

when we divide these (rise/run), we find the slope

you can choose any two well-defined points (with clear x and y values), here are the two we will be using:

(remember, points are written as (x, y)  )  

(0 , 2)

(-1 , -1)

for the "rise", we have risen 3 (difference between 2 and -1 = 3 [2- -1 = 3] )

for the "run" we have ran 1 (difference between 0 and -1 = 1) (0 - - 1 = 1)

so, the slope for this graph is: 3/1 ; which simplifies to 3

So, the slope of our graph is 3

<em>--------------------------------------------------------------</em>

<em>technical layout:</em>

<em />

m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}               (note: slope is called "m" in the format of y=mx + b)

y_{1} means one y-value, y_{2} means other y-value

x_{1} means one y-value, x_{2} means other x-value

{note: it is important to keep the y1 and x1 from the same point, and the y2 and x2 from a shared point}

our equation in this layout:

m=\frac{2 -(-1)}{0-(-1)} = m=\frac{3}{1}

                     m = 3

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2 years ago
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stepladder [879]

Answer:

x=8

Step-by-step explanation:

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and 16 - 4 is 12

so x=8

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