What is the solution to the equation 3(x-2)=3(x+4)=27
Ox= 12
OX= 14
x= 16
Ox= 26
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
increase R700 in the Ratio 3:2
Step-by-step explanation:
³93521586335445555554555554488807799654
I don’t get this question and need help. please hell
Which graph represents exponential decay?
On a coordinate plane, a straight line has a negative slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.
The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given,
The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.
Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).
The graph of the exponential decay has been graphed below.
Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".
For more about exponential function,
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#SPJ6
Answer:
D
Step-by-step explanation:
edge
hope this helps :)
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
p = 43 :)
Your welcome DaBaby
What is the value of x?
Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)
Answer:
5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.
Step-by-step explanation:
giving brainliest !!!!!!
Answer:
216
Step-by-step explanation:
6*6*6= 216
btw i am not using the formula for volume. 6*6 because you need the area of one side. then multiply that by 6 because there are 6 sides of a cube so 6*6*6=216
ten vegetable selections available, how many 3 vegetable plates can be made
Given the trapezoid below, Peter and
Christine each wrote different expressions to
find its perimeter.
w+2
4
4
6
Peter's expression: 6 + 4+ (w + 2) + 4
Christine's expression:
W + 16
Who is correct? Explain.
O Only Christine is correct.
O Only Peter is correct.
Both Christine and Peter are correct.
O Neither Christine or Peter is correct.
Vi
Answer:
Both.
Step-by-step explanation:
The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.
The perimeter of the trapezium Given below is :
(4 + 6 + 4 + w + 2)
Evaluating both expressions :
Peter = 6 + 4 + (w + 2) + 4
Christine's expression = w + 16
From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides
As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term
Hence, both are correct
Answer:
both of them are correct
Step-by-step explanation:
What App or what Website can help me solve problems of Statistics?
the varsity tutors ap statisyics app (app)
A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?
5% of 40,000 is 2,000
Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth
Answer:
mean: 10.4
median: 9.5
Step-by-step explanation:
Consider the following scenarios, where we apply probability to a game of flipping coins. In the game, we flip one coin each round. The game will not stop until two consecutive heads appear. (a) What is the probability that the game ends by flipping exactly five coins? (b) Given that the game ends after flipping the fifth coin, what is the probability that three heads appear in the sequence?
Answer:
3.125%
0%
Step-by-step explanation:
A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times
0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%
Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.
Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]
Part(b): The probability that three heads appear in the sequence is [tex]0.5[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.
Part(a):
The Probability of games ends by flipping exactly five coins is,
[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]
Where [tex]p=P(H)[/tex]
When the coin is fair so the probability is,
[tex]P(H)=\frac{1}{2}[/tex]
P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]
Part(b):
The Probability of games ends by flipping exactly three heads is,
[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]
Where [tex]p=P(H)[/tex]
When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]
Learn more about the topic of Probability:
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-1/3 – ¼
please show work if you don`t please don`t answer the question
Answer:
-1/3 - 1/4
First, make common denominators
-4/12 - 3/12
Then subtract the numerators
- 7/12
Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =
Answer:
<BGC and <FGE are vertical angles
<BGC=90°-42°=48°
So m<FGE=48°
Hope it helps...
solve for x leave answer in simplest radical form.
Answer:
4sqrt(15)
Step-by-step explanation:
a² + b² = c²
x² + 7² = 17²
x² + 49 = 289
x² = 240
[tex]\sqrt{x^2} =\sqrt{240}[/tex]
[tex]x=4\sqrt{15}[/tex]
what is the circumference of a circle with a radius of 5 inches?
Answer:
31.42 in.
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
by inserting the number 5 into the formula, we get approximately 31.42 inches.
Answer:
about 31.42 inches
Step-by-step explanation:
2 pi r = 2 × pi × 3 = 31.41593 inches
i think i did the math right
Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________
Answer:
1/4
Step-by-step explanation:
I could be wrong but that's what I would put
Answer:
P(next to be rose) = 1/4Explanation:
in general when she picked 12 flowers, 3 were roses
3/12 = 1/4
Helppppppp plzzzzzzzzz
Ewan HH
Step-by-step explanation:
Ewanjajsbehudbeiisiejebejehehehheehhehehe
Answer:
???
Step-by-step explanation:
Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?
Answer:
$146.25
Step-by-step explanation:
$6.50 per hour
for 25 hours = 25 × 6.50 = $162.5
10% of 162.5
162.5 × 10 ÷ 100
= 16.25
his week paycheck
162.5 - 16.25
= $146.25
Answer:
146.25$ is the a answer for sure
Select all possible cross sections of a sphere.
А
circle
B
square
C
triangle
D
point
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amount he paid for the pair of shoes.
Answer: $90
Step-by-step explanation:
To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)
Answer:
$60.00
Step-by-step explanation:
100 - 60 = 40% (Percentage after discount)
100% = 150
1% = 150 ÷ 100 = 1.5
40% = 1.5 x 40 = $60
If x -9 is a factor of x^2 -5 -36, what is the other factor?
Answer:
Factors are (x-9)(x+4)
Step-by-step explanation:
The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.
Find the prize of an adult ticket and the prize of a child ticket.
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
[tex]6a + 2c = 124[/tex]
as equation 1,
and
[tex]3a + 5c = 100[/tex]
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]
Now substitute c into equation 2.
[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
Identity the coterminal angle between 360° and 360° for the angle - 120°
No
Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?
The system of equations has one solution because the lines intersect at one point.
The system of equations has one solution because the lines do not intersect at only one point.
The system of equations does not have only one solution because the lines intersect at one point.
The system of equations does not have only one solution because the lines do not intersect at only one point.
Answer:
The system of equations does not have only one solution because the lines do not intersect at only one point.
Step-by-step explanation:
If the lines are covered by each other, they intersect at all the points they overlap on. So, there is more than on solution.
The following statement is correct.
The system of equations does not have only one solution because the lines do not intersect at only one point.
The following information should be considered:
In the case when the system of linear equations is graphed and one line is overlap to the other one.So here the system of equation contains more than one solution as the lines are not intersected at only one point but more than one point.Learn more: brainly.com/question/17429689
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
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