For a particular event, 845 tickets were sold for a total of $4162. If students paid $4 per ticket and non students paid $6 per ticket, how many student tickets were sold?

Answers

Answer 1

Final answer:

Using a system of equations, we found that 454 student tickets were sold at the event.

Explanation:

To determine how many student tickets were sold for the event, we need to set up a system of equations based on the information given. Let's define x as the number of student tickets sold at $4 each, and y as the number of non-student tickets sold at $6 each.

The total number of tickets sold (student plus non-student) is given as 845 tickets:

x + y = 845

The total amount of money made from selling these tickets is $4162:

4x + 6y = 4162

Now we have a system of two equations:

x + y = 845

4x + 6y = 4162

We can solve this system by multiplying the first equation by 4:

(4)(x + y) = (4)(845)

4x + 4y = 3380

Now, we subtract this new equation from the second equation given by the total amount made to eliminate y:

4x + 6y - (4x + 4y) = 4162 - 3380

2y = 782

Dividing both sides of this equation by 2 gives us:

y = 391

Now, substitute y back into the first equation to find x:

x + 391 = 845

x = 845 - 391

x = 454

So, 454 student tickets were sold.

Related Questions

cos(2θ) + 7 cos(θ) = 8

Answers

This pretty hard i really don't know man sorry

An ordinary (fair) die is a cube with the numbers

1

through

6

on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

Compute the probability of each of the following events:

Event

A

: The sum is greater than

9

.
Event

B

: The sum is divisible by

5

or

6

(or both).

Answers

There are a few ways to look at this. If you wanted to look at all the events, you could draw a 6 x 6 grid and label the left side from 1 to 6 and the bottom from 1 to 6. The intersection of a row and a column would be a possible sum. You can check to see if the event you want to occur occurs on a cell by cell basis. Like if you wanted to see how many possibilities are there to get a sum of 12. We know there is only one way, that is to roll a 6 and a 6. Then you would shade the top right corner cell of the grid and check the other ones (for more complicated events). Then the probability is just the number of shaded cells divided by the total number of cells.

But, since you can probably just count the events, how many ways are there to roll any two numbers, if the order matters, there are 36 possibilities (6 x 6 grid). You could roll 4 then 6, 6 then 4, 5 then 5, 5 then 6, 6 then 5, and 6 then 6. There are 6 possibilities with a sum more than 9 and 36 total, so the probability of that one event is 6/36 or 1/6. Try out the last one ;)

Final answer:

The probability of rolling a sum greater than 9 (Event A) on two fair dice is 1/6, and the probability of rolling a sum divisible by 5 or 6 (Event B) is 1/3.

Explanation:

To compute the probability of Event A, where the sum is greater than 9, we first identify the possible combinations that yield a sum greater than 9: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6). Since there are 6 possible outcomes and 36 total possible outcomes when rolling two dice (6 for the first die × 6 for the second die), the probability is 6/36 or 1/6.

For Event B, we look for sums divisible by 5 or 6. These sums are 5, 6, 10, 12, 15, 18, and 20. The combinations yielding these sums are (1,4), (2,3), (2,6), (3,2), (3,6), (4,1), (4,6), (5,1), (5,5), (6,2), (6,3), (6,6). By counting these results, we have 12 outcomes that meet the Event B criteria out of 36, so the probability is 12/36 or 1/3.

The probability of Event A, the sum being greater than 9, is 1/6, and the probability of Event B, the sum being divisible by 5 or 6, is 1/3.

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Last year, Melissa opened an investment account with

$6200

. At the end of the year, the amount in the account had decreased by

29.5%

. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Melissas account had decreased by $1,829. The money in Melissa's account was now $4,371.

The cost of a ski-lift ticket is $31.how much will 17 tickets cost?

Answers

31 x 17 = 527
answer 527

If each ticket costs $31 dollars, then 17 tickets would cost $527 dollars (31x17+527)

the formula for glue says to add 60 ml of hardener to each container of resin. How much hardener should be added to 19 containers of resin?

Answers

19x60=1140
19 containers of resin with 60 ml of hardener each so the total is 1140 ml of hardener.

Answer

Find out the how much hardener should be added to 19 containers of resin .

To prove

Let us assume that the hardener should be added to 19 containers of resin be x .

As given

The formula for glue says to add 60 ml of hardener to each container of resin.

than the equation become

x = 19 × 60

x = 1140 ml

Therefore the 1140 ml hardener should be added to 19 containers of resin .

Hence proved

You can ride your bike around your block twice and the whole neighborhood once in 15 minutes. You can ride your bike around your block twice and the whole neighborhood 5 times in 55 minutes. How long does it take you to ride around the neighborhood?

Answers

It takes 10 minutes to ride around your neighborhood. We already know that going around the neighborhood once and your block twice is 15 minutes, so you can get rid of the two blocks and one neighborhood. Then subtract 15 minutes from 55, which is 40. So now we know that it takes 40 minutes to go around the neighborhood 4 times. Devide, and you get that one lap around the neighborhood is 10 minutes. It's kinda hard to explain in words, but maybe the picture will help.

To determine the time it takes to ride around the neighborhood, equations are set up from the given scenarios and solved algebraically, resulting in 10 minutes for one neighborhood lap.

To solve the problem, we need to set up equations based on the information provided. Let's let N represent the time it takes to ride around the neighborhood once and B represent the time it takes to ride around the block twice. The first scenario gives us:

B + N = 15 minutes

In the second scenario, the only difference is the number of neighborhood laps, so:

B + 5N = 55 minutes

Subtracting the first equation from the second gives us:

4N = 40 minutes

Dividing both sides by 4, we find:

N = 10 minutes

Therefore, it takes 10 minutes to ride around the neighborhood once.

Round 0.125 to the nearest tenth.

Answers

It would be .13.
We round the 2 up since five is to the right either way it makes no different to the tenths place.
Answer: 0.13

After rounding off the given number 0.125 to the nearest tenth it becomes 0.1.

We know that,

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

The given number is:

0.125

To round off this digit nearest tenth,

See the number at the hundredth place, which is 2.

And 2 < 5

Therefore,

0.125 is rounded down to 0.1

So after rounding 0.125 number becomes 0.1.

Hence,

The rounded-off number nearest tenth is 0.1.

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x+3y-2z=10, -x-2y+z=-7, 3x+9y-5z=28

Answers

hmm
what you do is try to eliminate 1 variable in 2 equaions first
we can elminate x's in first and 2nd equation

add first and 2nd equation
x+3y-2z=10
-x-2y+z=-7 +
0x+y-z=3
y-z=3

multiply 2nd equation by 3 and add to last one
-3x-6y+3z=-21
3x+9y-5z=28 +
0x+3y-2z=7

3y-2z=7

we now have
y-z=3
3y-2z=7
multiply first equation by -2 and add to 2nd

-2y+2z=-6
3y-2z=7 +
y+0z=1
y=1

now we can sub back
y-z=3
1-z=3
minus 1
-z=2
times -1
z=-2

sub baack into any equation
x+3(1)-2(-2)=10
x+3+4=10
x+7=10
minus 7
x=3

x=3
y=1
z=-2
(3,1,-2)

[tex]\displaystyle \\ ~~~~x+3y-2z=10 ~~~~~(E_1)\\ -x-2y+z=-7 ~~~~~(E_2)\\ ~~3x+9y-5z=28~~~~~(E_3) \\ \text{- - - - - } \\ E_1 + E_2 ~~\Longrightarrow~~y - z = 3 \\ \\ -3 \times E_1 + E3 ~~\Longrightarrow~~ z = -2 \\ \\ \Longrightarrow\Longrightarrow\Longrightarrow \\ \\ y-z=3\\ z = \boxed{-2}\\ \text{- - - - - }\\ y-(-2)=3\\ y+2=3\\ y =3-2=\boxed{1}\\ \text{- - - - - }\\ x+3y-2z=10\\ x+3\cdot 1-2\cdot (-2)=10\\ x+3+4=10\\ x+7=10\\ x= 10 - 7 = \boxed{3}[/tex]

In the week before and the week after a holiday, there were 10,000 total deaths, and 4958 of them occurred in the week before the holiday. a. Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday. b. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
Below is the solution:

p-hat = 5445 / 11000 = 0.495

For a 95% confidence interval, use z = 1.96

The confidence interval is then:

p-hat - z(√(p-hat)(1 - p-hat) / n) < p < p-hat + z(√(p-hat)(1 - p-hat) / n)

0.495 - (1.96)(√(0.495)(1 - 0.495) / 11000) < p < 0.495 + (1.96)(√(0.495)(1 - 0.495) / 11000)

0.486 < p < 0.504

A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. After 5 minutes, how fast is the area of the base increasing?

Answers

When after 5 min the height is 11.516, after 5 min the height is increasing at .7678m/min, after 5 min the base radius is increasing at .19196 m/min, so I already workd out the volume formula v=1/3pir^2h

Final answer:

The area of the base is increasing at a rate of 200π m²/min after 5 minutes.

Explanation:

To find how fast the area of the base is increasing, we first need to calculate the rate at which the height and radius of the cone are changing. Given that the height of the pile is always twice the length of the base diameter, we can write the equation h = 2r, where h is the height and r is the radius of the cone. Differentiating both sides with respect to time, we get dh/dt = 2dr/dt. Since the height is changing at a constant rate of 20 m³/min, dh/dt = 20 m³/min. Using this information, we can find the rate at which the radius is changing, dr/dt. Since the base diameter is equal to 2r, the base radius changes at a rate of dr/dt = 10 m/min. Now, we can find the rate of change of the area A of the base using the formula A = πr². Differentiating both sides with respect to time, we get dA/dt = 2πr(dr/dt). Plugging in the values, we have dA/dt = 2π(10)(10) = 200π m²/min. Therefore, the area of the base is increasing at a rate of 200π m²/min after 5 minutes.

I need help with a math problem.

Answers

11.2+4+3.4+7.3+(11.2-3.4)=
11.2+4+3.4+7.3+7.8=
33.7

your perimeter is 33.7 m

All you have to do is just add the sides, in order to find the perimeter.

4m + 3.4m + 7.3m + 11.2m = 25.9m

Jason scored 14,568 points playing a video game. The all-time high score is 22,401 points. How much greater is the all-time high score than Jason's score?

Answers

The problem is asking you to find the difference between his score and the highest score. This is just a subtraction problem.

22,401-14,568=7,833

subtract 22,401-14,568= 7833

A box contains
4

plain pencils and
4

pens. A second box contains
5

color pencils and
7

crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?

Write your answer as a fraction in simplest form.

Answers

1. You have 3 chances in 12 of picking a pencil ===> 3/12 = 1/4

2 You have 5 chances in 8 of picking a colored pencil ===> 5/8

3. The probability of doing both is the product of the two ===> 1/4 * 5/8 = 5/32

Zoe's pizza cost $12.99. She gave a tip of $2.00.

What percent did Zoe leave as a tip?

will offer 16 points if in 60 seconds or less plz

Answers

She left a 15 % tip I hope this helps u :D

Answer:

She left a 15% tip.

Step-by-step explanation:

Just do $10.99 (The original price, I believe.) and then the tip she gave. ($2.00)

And turn it into a percentage.

I know the other person already answered, 50% credits to them, because they only gave the "Answer:" part. (No offense if you're reading this.)

Hope this helped, and enjoy the little pun!

"The other person already answered 50%"

someone came into my shop and stole $100.00 from the register without my knowledge. The person came back in with the same $100.00 five minutes later and he bought $70.00 worth of items and gave him back $30.00 in change. How much money did I lose?

Answers

Let's do this step by step, we know that the guy steals $ 100 So it would be - $ 100 for the store. The men buy $ 70 merchandise WITH THE MONEY THAT HE STOLE, but the money that he stole CAME BACK to the store So up to this poin, : - $ 100 + $100 - $ 70 = - $ 70 for the store After that , the store give $ 30 cash back, So in the and : - $ 70 - $30 = - $ 100 lost for the store

A university student center sells 1,600 cups of coffee per day at a price of $2.40. a market survey shows that for every $0.05 reduction in price, 50 more cups of coffee will be sold. how much should the student center charge for a cup of coffee in order to maximize revenue?

Answers

2.00 would be the best price to maximize revenue in the situation you gave me to answer

is 65 milliometers bigger or 5 centimeters bigger?

Answers

65 millimeters
5 centimeters=50 milimeters

Yes i see that 65millimeter is bigger than 5centimeter because, let me prove that 65millimeter is bigger than 5centimeter,now start,65/1000 is equal to 0.065 the 1000 is milli mean 1000.and centimeter mean 100 so 5/100 is equal to 0.05 so 65 is millimeter bigger than 5 centimeter.

Karen works for 85 hours throughout a two-week period. She earns $1,891.25 throughout this period. how much does she earn for 8 hours to work?

Answers

85 Hours throughout a two-week period She earns 1,891.25$

The simplest way to do this is 1,891.25$/85Hours=E

E= 22.25$ per hour, Now that we know that we can multiply 22.25$ by 8, To get 8 hours instead of 1

Equation: 22.25*8 = A

A/Answer= 178$ For 8 hours of Work

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

Answers

expected values are close to observed values, tend to favor the null hypothesis; existence of relationship is not supported, or like, departure from expectation is not supported.

Final answer:

If a chi-square test produces a chi-square statistic near zero, it implies that there is minimal deviation between the observed and expected values, suggesting independence or a good fit. However, interpretation should consider the specific test and hypotheses.

Explanation:

If a chi-square test produces a chi-square statistic near zero, it implies that there is minimal deviation between the observed and expected values. This suggests that the variables being tested are independent of each other or that the data fits the assumed distribution very well.

For example, in a chi-square test of independence, if the chi-square statistic is close to zero, it indicates that there is no significant relationship between the two factors being tested.

However, it is important to interpret the results in the context of the specific test being conducted, considering the null and alternative hypotheses as well as the significance level.

The mathematics faculty at a college consists of 4 professors, 5 associate professors, 6 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.

Answers

There are a total of 4+5+6+8 = 23 faculty members.

the probability of selecting a professor (4) or an instructor (8) is:

(4+8)/ 23 => 12/23 => 0.54 or 54%

first you add everyone together.
8+6+5+4=23
since there are 5 associate professors and 8 instructors you add them together.
4+8=12
you divide the number of professors and instructors by the number of everyone.
12/23=.52
you move the decimal over 1 place and there's your answer.
52%

rewrite as a logarithmic equation.
7^0=1

Answers

Convert the exponential equation to a logarithmic equation using the logarithm base ( 7 ) 7 of the right side ( 1 ) 1 equals the exponent ( 0 ) 0 . log 7 ( 1 ) = 0

When 50% of a number is added to the number, the result is 225. What is the number?

Answers

Final answer:

The unknown number in the problem is 150. This was determined by creating an equation based on the information given, simplifying it, and solving for the unknown variable 'n'.

Explanation:

This is a math problem that involves working with percentages and algebraic equations. Let the unknown number we're trying to find be 'n'. The problem says that 50% of the number, which is 0.5*n, is added to the number (n), resulting in 225. This situation can be represented with the equation: n + 0.5*n = 225.

Combining like terms on the left side of the equation, we get 1.5*n = 225. To isolate 'n', divide both sides of the equation by 1.5. So, n = 225 / 1.5, which gives us the number 150. Therefore, the unknown number is 150.

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if (7^2)^x=1, what is the value of x?

Answers

We have our equation and can see that we can simplify a little, giving us 49^x=1. We also know that anything to the power of zero equals one, so x=0.

write
23/25 as a percent

Answers

3 / 25 = x / 100

23/25 = 0.92 = 92/100

x = 92%

Convert the fraction to a decimal, then multiply by 100.
= 92%

The marginal cost function of producing q mountain bikes is Upper C Superscript prime Baseline left-parenthesis q right-parenthesis equals StartFraction 600 Over 0.3 q plus 5 EndFraction. (a) If the fixed cost in producing the bicycles is dollar-sign 2300, find the total cost to produce 30 bicycles. Enter an answer to two decimal places. dollar-sign 4359.23 (b) If the bikes are sold for dollar-sign 220 each, what is the profit (or loss) on the first 30 bicycles? Enter an answer to two decimal places. dollar-sign 2240.77 (c) Find the marginal profit on the 31st bicycle. Enter an answer to two decimal places. dollar-sign

Answers

MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit)
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q

Marginal rev=205
Marginal Profit = 205-41.958=163.042

Solve 2x + 6 - 10x = 30

Answers

2x+6-10x=30
2x - 10x = 24
x=-3

trying to simplify 3√128

Answers

43√2 you could also write in decimal form.

what is 0.79 as a fraction in simplest form

Answers

79/100 is the simplest form

0.79 = 79/100. I don't believe you can simplify past this point because 79 is a prime number

An artist sells 4 paintings for $20 each, 4 sculptures for $60 each, and 4 photographs for $10 each at her art show. How much money does the artist make on these sales in all?

Answers

for 4 painting she sells, $80. For 4 sculptures she sells $240. For 4 photographs she sells $40. Overall, she gains $760 on these sales.

for 4 painting she sells, $80. For 4 sculptures she sells $240. For 4 photographs she sells $40. Overall, she gains $760 on these sales

the area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle

Answers

256.5/18= 14.25

(14.25x2)+(18x2)= 64.5m

Perimeter of the rectangle is 64.5 m

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Let us now tackle the problem !

Given:

Area of Rectangle = A = 256.5 m²

Length of Rectangle = L = 18 m

Unknown:

Perimeter of Rectangle = P = ?

Solution:

This problem is about Area and Perimeter of Rectangle.

Let's find the width of Rectangle.

[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]

[tex]256.5 = 18 \times \texttt{Width}[/tex]

[tex]\texttt{Width} = 256.5 \div 18[/tex]

[tex]\texttt{Width} = \boxed {14.25 ~ \texttt{m}}[/tex]

Let's find the perimeter of Rectangle.

[tex]\texttt{Perimeter of Rectangle} = 2 (\texttt{Length} + \texttt{Width})[/tex]

[tex]P = 2 ( L + W )[/tex]

[tex]P = 2 ( 18 + 14.25 )[/tex]

[tex]P = 2 ( 32.25 )[/tex]

[tex]P = \boxed {64.5 ~ \texttt{m}}[/tex]

Learn moreThe perimeter of a polygon : https://brainly.com/question/6361596The perimeter of a rectangle : https://brainly.com/question/7619923The perimeter of a triangle : https://brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

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