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Paul [167]
3 years ago
13

A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater c

an seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.

Which inequalities are among the constraints for this situation?
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer: The constraints for this solution would be: 1000 >_ 12x + 8y; 200 <_ x + y

Step-by-step explanation:

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Hi, umm pls help<br><br> 1/6(x-5)=1/2(x+6), solve for x <br><br> And can you please explain
Mumz [18]

Answer:

By solving the equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) we found that   x=\frac{23}{2} \text { or }=11 \frac{1}{2}

<u>Explanation:  </u>

Given equation,

\frac{1}{6}(x-5)=\frac{1}{2}(x+6) to find x  

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)  

Step: 2 Open brackets and simplify the term 2x-10=6x+36  

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,  

2x-6x=36+10

 -4x=46  

-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}

Therefore, we solved x value from the given equation \frac{1}{6}(x-5)=\frac{1}{2}(x+6) as x=\frac{23}{2} \text { or }=11 \frac{1}{2}.

4 0
3 years ago
Help me get these answers please :) in college need help.
ivolga24 [154]
P(person has less than a high school education) = 0.12.  This is directly from the table.

P(person has at least a bachelors degree:  Hard to say for certain, because some of the data in your illustration was cut off.


7 0
3 years ago
Write a word problem that can be solved using a drawing 4 x 8 ?
a_sh-v [17]

Answer:

Bill was designing his living room. Bill decided his room was twice the size of his rug. His rug was 4x8, how big was his room.

Step-by-step explanation:

Sorry i tried.....

4 0
3 years ago
You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. You deposit the $1 at
Fiesta28 [93]

Answer:

option (c) $18,032

Step-by-step explanation:

Data provided in the question;

Amount deposited at the end of each day = $1

Interest paid = 8% compounded daily = 0.08

Daily interest rate = \frac{\textup{0.08}}{\textup{365}}  =  0.000219

Duration = 20 years = 20 × 365 days = 7300 days

Now,

the Future value is given as:

Future value = Part payment × \frac{(1+r)^n-1}{r}

here, r is the interest rate

n is the duration

thus,

Future value = $1 × \frac{(1+0.0002192)^{7300}-1}{0.0002192}

or

Future value = $18033.56 ≈ $18,032

Hence, the correct answer is option (c) $18,032

7 0
3 years ago
Sisters Amilia and Bianca play games together often. Let A represent the number of games Amilia wins monthly, and let B represen
Harman [31]

Using addition of variables, it is found that the mean of S is of 73 and the standard deviation is of 8.5.

<h3>What happens to the mean and the standard deviation when two variables are added?</h3>
  • The mean is the sum of the means.
  • The standard deviation is the square root of the sum of variances.

In this problem, for variables A and B, we have that:

\mu_A = 35.5, \sigma_A = 5.1

\mu_B = 37.3, \sigma_B = 6.8

Variable S is the sum of A and B, hence:

\mu_S = \mu_A + \mu_B = 35.5 + 37.3 = 73

\sigma_S = \sqrt{\sigma_A^2 + \sigma_B^2} = \sqrt{5.1^2 + 6.8^2} = 8.5

The mean of S is of 73 and the standard deviation is of 8.5.

More can be learned about addition of variables at brainly.com/question/26156502

7 0
2 years ago
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