Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:


Step-by-step explanation:
Given

Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:

Also, a total of 240 were sold.
So:

Hence, the equations are:


Solving further;
Substitute 180 + y for x in 


Solve for 2y


Divide through by 2

Recall that: 


Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
<em />
Solve for x by simplifying both sides of the equation then isolate the variable your answer is x=10.
Answer:
651 is the minimum number of people over age 30 they must include in their sample.
Step-by-step explanation:
We are given the following information:
Confidence level = 90%
Significance level = 10%
Maximum error = 0.09
Variance = 1.96

Formula:

Putting all the values,


651 is the minimum number of people over age 30 they must include in their sample.
Answer:
there are two zeroes that I can see
Step-by-step explanation:
Answer: 7/12
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