Set up a system of equations for the following scenario. Then solve for the system. Three students buy different combinations of tickets for a baseball game. The first student buys 2 senior, 1 adult, and 2 student tickets for $51. The second student buys 1 adult and 5 student tickets for $55. The third student buys 2 senior, 2 adult, and 7 student tickets for $75. Set up a system of equations to find the price of each ticket.

Answers

Answer 1
Let
x =  cost of a ticket for a senior
y = cost of a ticket for an adult
z =  cost of a ticket for a student.

The first student buys 2 senior, 1 adult, and 2  student tickets for $51.
Therefore
2x + y + 2z = 51                 (1)

Th second student buys 1 adult and 5  student tickets for $5.
Therefore
y + 5z = 55                       (2)

The third student buys 2 senior, 2 adult, and 7 student tickets for $75.
Therefore
2x + 2y + 7z = 75            (3)

Answer:
The system of equation for determining x, y, and z is
2x + y + 2z = 51
        y + 5z = 55
2x + 2y + 7z = 75

Warnng: The system of equations does not have a solution.


Related Questions

Median MH is 6 units longer than median KP triangle GHI is similar to triangle JKL. If GH:JK=7:5, find the length of KP

Answers

If GHI and JKL are similar with the proportion of 7/5 (reduction), that means all the elements of GHI & JKL have the same reduction ratio (median, Altitude, etc.)
Then HM/KP = 7/5.But we are given that HM = KP+6, so:
(KP+6)/KP =7/5. Now cross multiplication:

5(KP+6) = 7KP
5KP + 30 = 7KP
30 = 2KP and KP = 15

Answer: KP=15

Step-by-step explanation:

HM/KP = 7/5.

HM = KP+6, so:

(KP+6)/KP =7/5.

cross multiply

5(KP+6) = 7KP

5KP + 30 = 7KP

30 = 2KP and KP = 15

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3 :-)

Which of the followings explains the difference between a regular subquery and a correlated subquery?

Answers

correlated means that they relate so probably this might help

A regular subquery is a standalone query that can be executed independently of the outer query and passes its result to the outer query. Conversely, a correlated subquery is linked with the outer query, executes for each row processed by the outer query, and may be slower due to these repeated executions.

The primary difference between a regular subquery and a correlated subquery resides in the way they operate and when they execute the control flow. A regular subquery is a standalone query, which means it can be executed independently of the outer query. Once it executes, it passes its result to the outer query.

On the other hand, a correlated subquery, as its name suggests, is 'correlated' with the outer query. It cannot be executed independently and must be run for each row processed by the outer query.

For example, if you use a correlated subquery to determine whether a record exists in another table, the subquery will run once for each record in the primary query. This can potentially be slower than a regular subquery due to the repeated executions.

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The question probable may be:

What distinguishes a regular subquery from a correlated subquery in terms of execution and operation? How does the control flow differ, and why might a correlated subquery be slower than a regular subquery in certain scenarios?

In what instance would you use the upside down U when doing interval notation

Answers

The U and inverted U symbols, ∪ and ∩, are mathematical symbols used to denote union or intersection, respectively. For example, when a rational algebraic equation is graphed, there may be some points where the equation is undefined. Visually, we see it as breaks or discontinuities. We use the ∪ symbol to express union. For example, {-∞,2)∪(4,+∞). That means that the graph passes at all x values except x=3.

The ∩ symbol is used for intersection of two lines, for instance. When equation A and equation B are graphed, they can intersect at points (x,y). It is therefore expressed as: A∩B = (x,y).

Rose plans to go for vacation to europe in 6 years from now. she estimates that she will need $24,388 for the trip. how much does she need to place in a saving account today that earns 5.13% per year (compounded annually) to accumulate this amount? all the work has to be shown! round the answer to two decimal places.

Answers

Let $P = the amount that Rose placed into the savings account.
The annual compounding rate is  r = 5.13% = 0.0513.
The duration is n = 6 years.
The target amount is A = $24,388.

Use the formula
[tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]

The value of the account after 6 years is
[tex]A=P(1+ \frac{0.0513}{12} )^{12\times6}=P(1.00428^{72})=1.3595P[/tex]

Therefore,
1.3595P = 24388
P = $17,938.95

Combinations- how to show that 10C2=10C8

Answers

The most effective way to show that 10C2 = 10C8 is to solve for the values of each combination. To solve for the values, we have to make use of the combination formula:

nCr = n! / r! (n – r)!

where n is the total sample size and r is the selected sample size

 

Calculating the value of 10C2:

10C2 = 10! / [2! (10 – 2)!]

10C2 = 10! / (2! * 8!)

10C2 = 45

 

Calculating the value of 10C8:

10C8 = 10! / [8! (10 – 8)!]

10C8 = 10! / (8! * 2!)

10C8 = 45

 

Therefore,

10C2 = 10C8

At the pie eating contest, Max ate 2⁄5 of a pie and Jen ate 6⁄8 of a pie. How many pies did they eat all together?

Answers

Final answer:

Max and Jen ate a total of 1 3/20 pies together.

Explanation:

To find out how many pies Max and Jen ate all together, we need to add the fractions of the pies that each of them ate.



Max ate 2/5 of a pie and Jen ate 6/8 of a pie. To add these fractions, we need to find a common denominator. The common denominator of 5 and 8 is 40.



Multiplying the numerator and denominator of 2/5 by 8, we get 16/40. Multiplying the numerator and denominator of 6/8 by 5, we get 30/40.



Now we can add the fractions: 16/40 + 30/40 = 46/40.



Since 46/40 is an improper fraction, we can simplify it to a mixed number by dividing the numerator by the denominator. 46 divided by 40 is 1 with a remainder of 6, so the mixed number is 1 6/40.



However, we can simplify the fractional part of the mixed number further. Both 6 and 40 are divisible by 2, so we can divide both the numerator and denominator by 2: 6 divided by 2 is 3, and 40 divided by 2 is 20. Therefore, the simplified mixed number is 1 3/20.



Therefore, Max and Jen ate a total of 1 3/20 pies together.

Final answer:

Max ate 2/5 of a pie and Jen ate 6/8 of a pie. The total is 1 and 6/40 pies.

Explanation:

To find out how many pies Max and Jen ate all together, we need to add the fractions of pies they each ate. Max ate 2/5 of a pie and Jen ate 6/8 of a pie. To add these fractions, we need to have a common denominator.

To find the common denominator, we can multiply the denominators together. In this case, the common denominator would be 5 * 8 = 40.

Now, we can convert both fractions to have a denominator of 40.

Max's fraction becomes 16/40 and Jen's fraction becomes 30/40.

Finally, we add the two fractions together:

16/40 + 30/40 = 46/40.

So, Max and Jen ate a total of 46/40 or 1 and 6/40 pies all together.

Standard form to 15409

Answers

the standard form is 10,000+5,000+400+9

How many perfect cube whole numbers are between 6000 and 8500?

Answers

it is 2 

19^3 = 6859 and 
20^3= 8000
There are two 19^3= 6,859 and 20^3= 8,000

Determine whether it is reasonably possible that the proportion of adults from country a and the proportion of adults from country b are equal and explain your reasoning. choose the correct answer below.

Answers

It is possible that the proportion of adults in Country A equal to the proportion of adults in Country B. This statement does not necessarily mean that the populations of adults in the two countries are equal. It is the proportion and not the exact population. This occurs when the ratio of the population of adults to the total population of Country A is the same as that of the ratio of the population of adults to the total population of Country B.

On may 31, the cash account of bottle's r us had a normal balance of $5,000. during may, the account was debited for a total of $12,200 and credited for a total of $11,500. what was the balance in the cash account at the beginning of may?

Answers

Final answer:

The balance in the cash account at the beginning of May was -$6,500.

Explanation:

The balance in the cash account at the beginning of May can be calculated by adding up the debits and credits for the month and subtracting them from the normal balance at the end of May.

In this case, the total debits for May were $12,200 and the total credits were $11,500.

To find the beginning balance, subtract the total credits from the normal balance:

Beginning balance = Normal balance - Total credits

Beginning balance = $5,000 - $11,500 = $-6,500

Therefore, the balance in the cash account at the beginning of May was -$6,500.

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A tree has a shadow of 30ft how tall is the tree? And a triangle has a right angle with a line of 2ft tall and the base of 5ft what do they have in common.

Answers

You need the angle of the line between the shadow and the line from the extreme of the shadow to the cup ot the tree.

Suppose that the angle is the same of a right triangle with a base of 5 ft and a tall of 2 ft.

=> 2/5 = x / 30ft => x = 30ft * 2 / 5 = 12ft

=> The tree is 12 ft tall.

And the two triangles are similar (they have same angles).

At the theater, the worth family spent $18.00 on adult tickets, $16.50 on childrens tickets and $11.75 on refreshments. How much did you spend in all?

Answers


$46.25 is how much they spent
hope this helps

How many numbers are equal to the sum of two odd one digit numbers

Answers

Assuming odd one digit numbers are to be positive non-zero numbers, namely 1,3,5,7,9.

The possible sums are
1+1=2
1+3=3+1=4
1+5=5+1=3+3=6
1+7=7+1=3+5=5+3=8
1+9=9+1=3+7=7+3=5+5=10
3+9=9+3=5+7=7+5=12
5+9=9+5=7+7=14
7+9=9+7=16
9+9=18

I count 9 numbers.

Zero is considered even.
If one digit numbers include negative numbers, proceed similarly as above.
The answer is NINE.

1+3=4
1+5=6
1+7=3+5=8
1+9=3+7=5+5=10
3+9=5+7=12
5+9=7+7=14
7+9=16
9+9=18
1+1=2
3+3=9

Hope it Helps.
Don't feel shy in saying thx if it helps


The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k

Answers

To solve this problem, we must do a method of trial and error to find for the next highest integer with exactly three factors. We know that the value of k must be greater than 4, therefore by using trial and error to find for the correct answer:

 

Factors of 5:1, 5

Factors of 6:1, 2, 3, 6

Factors of 7:1, 7

Factors of 8:1, 2, 4, 8

Factors of 9:1, 3, 9

 

Therefore we stop at 9 since this is already our answer. It has exactly three factors.

The sum of the factors is:

sum of factors = 1 + 3 + 9

sum of factors = 13

Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on interest rate was 9% and he made a total of 30 payments. Find the amount of his loan to the nearest penny.

Answers

First find the total payments
Total paid
200×30=6,000 (this is the future value)

Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)

Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15

The answer is 4795.15
Final answer:

The initial amount that Charlie financed to buy his car is approximately $5,364.93. This was calculated using the add-on interest loan formula with the provided monthly payments, interest rates, and number of payments.

Explanation:

The question is asking us to find out the initial amount that Charlie financed to buy his car, given that he made monthly payments of $200 at an interest rate of 9% over a total of 30 payments. This is a simple interest loan problem in mathematics, specifically dealing with add-on interest. To determine the original loan amount, we will use the formula for calculating the loan amount in an add-on interest loan. It is calculated by dividing the amount paid in total by the sum of one plus the product of the rate and time: Loan Amount = Total Payment / (1 + (Interest Rate * Time)) .

In this case, the total repayment made by Charlie is $200 * 30 = $6,000. The interest rate is 9% per year, but since he is making monthly payments we need to divide this by 12 to get the monthly interest rate, which is 0.0075. The time is 30 months. Substituting these values into our formula gives: Loan Amount = 6,000 / (1 + (0.0075 * 30)).

Hence, after calculations, the initial amount that Charlie financed to buy his car is approximately $5,364.93.

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Which of the following statements is true?

A
6.75 < 6.759 < 6.751 < 6.85

B
5.55 < 5.559 < 5.65 < 5.69

C
4.11 < 4.12 < 4.17 < 4.15

D
7.42 < 7.41 < 7.40 < 7.39

Answers

The answer for this question is B.
6.75 < 6.759 < 6.751 < 6.85 A= Fasle
5.55 < 5.559 < 5.65 < 5.69 B=True
4.11 < 4.12 < 4.17 < 4.15 C = False
7.42 < 7.41 < 7.40 < 7.39 d: False

The mayor of a small city has proposed that a gambling casino be built in the downtown area, arguing that the construction project, resulting jobs, and tax revenue will boost the local economy. A total of 183 residents attend a public hearing on the proposal and a show of hands finds only 31 in favor of the casino. What does this vote tell the city council about public support for the project?

Answers

This shows that only 31 out of 183 are in favor of the casino.
In other terms: 31/183 = 0.169 or only 17% are favoring the project against 83% . Enough information to show no public support for the casino project


A solid has all of the following charateristics, except for which? A. has a closed space B. is three-dimensional C. has an open space D. is measured in volume

Answers

the correct answer is C because solids are 3D so they take up room and open space

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule mc014-1.jpg describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 2.7-mile ride?

Answers

The cost of a ride depends totally on the number of miles traveled, plus a fixed charge of $1.75.

We can use the following notation to describe the rule:

C(m)=1.75 + 0.40 m   (dollars)

for example the cost of traveling 8 miles, is calculated by C(8):

C(8)=1.75+0.40*8=1.75+3.2 = 4.95  dollars.


the charge for a 2.7 mile ride is:

C(2.7)=1.75+0.40*2.7=1.75+1.08=2.83   dollars


Answer:$ 2.83

If 3x^2=4y=12 what is the value ofx^2y

Answers

It would be 64 because x equals 2. Y=3
[tex]\bf 3x^2=4y=12\quad \begin{cases} 3x^2=4y\\ 4y=12\\ -----\\ 3x^2=12 \end{cases} \begin{cases} 3x^2=12\\ x^2=\frac{12}{3}\\ x^2=4\\ x=\sqrt{4}\\ \boxed{x=2} \end{cases}\quad \begin{cases} 4y=12\\ y=\frac{12}{4}\\ \boxed{y=3} \end{cases} \\\\\\ x^2y\implies (2)^2(3)\implies 4\cdot 3\implies 12[/tex]

which number is the standard equation for a circle centered at the origin should one increase to make the circle larger

Answers

To increase the size of a circle you would increase the size of the radius.

Determine the domain of the function. f as a function of x is equal to the square root of two minus x.

Answers

If that is correct then the domain is   x = real number <= 2  because  there are no real square roots of a negative number.

In interval notation it is  (-∞∞
the domain is -2 i think

Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.

Answers

Given
[tex]H0: \ \mu=45 \\ \\ H1: \ \mu\ \textless \ 45[/tex]
This is a one-tailed test.

[tex]z= \frac{41.8-45}{6/ \sqrt{25} } = \frac{-3.2}{6/5} = \frac{-3.2}{1.2} =-2.6667[/tex]

[tex]P(z\ \textless \ -2.6667)=0.00383[/tex]

Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.

How much would $300 invested at 7% interest compounded continuously be worth after 4 years

Answers

The formula of compound continuously is
A=p e^rt
A future value?
P present value 300
R interest rate 0.07
T 4 years
E constant
A=300×e^(0.07×4)
A=396.94 round your answer to get
A=397

Answer:

$396.93

Step-by-step explanation:

It asks to round to the nearest cent not dollar.

Twice x,plus 3,is the same as -6

Answers

write the equation out as given:

2x+3=-6

 subtract 3 from each side

2x = -9

x=-9/2

x = -4.5

The correct answer is -3.5

Two Runners are to race one lap on a circular track the radius on the inside Lane is 50 m the radius to the outside Lane is 51 M how much of a head start should the runner on the outside get

Answers

C₁ = 2π.(50) = 100.π
C₂ = 2π.(51) = 102.π

C₂ - C₁ = 102.π - 100.π = 2π. = 6.29 m

So the outside Lane greater then the inside by 6.29 m, and the " outsider" will have a head star of approx. 6.3 m

Susan and Jessica play a,card game Susan win 60percent of time they play nine games,what is the probability that Jessica will have worn more games than susan?

Answers

Final answer:

To find the probability of Jessica winning more games than Susan in a card game, we need to calculate the probabilities for each outcome.

Explanation:

To determine the probability that Jessica will have won more games than Susan, we need to calculate the probability of each possible outcome.

Given that Susan wins 60% of the time, the probability of Susan winning a game is 0.6 and the probability of Jessica winning a game is 0.4.

To calculate the probability of Jessica winning more games, we can use combinations. In this case, we need to find the sum of the probabilities of Jessica winning 0, 1, 2, 3, 4, 5, 6, 7, and 8 games out of 9.

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Zach bought two new jet skis for 15,490. He will make 36 equal payments . How much will each payment be?

Answers

15490 divide by 36


Zach would pay ~430.2778 dollars each time

hope this helps

Simplifying the following Expressions by combining adding together what is alike like term 8n+5-n+13

Answers

Hi there!

8n + 5 -n + 13
Combine the like terms
8n -n + 5 + 13
7n + 18

I hope that helps!
Brainliest answer please :)
So the question asks to combine like terms. This means it wants you to add the terms that are the same. For example, if you have 2n and 3n, and a question asks you to combine like terms, you would add them together and you would have 5n. In this equation, we see the terms n, and we see the numbers. So we need to simplify so that the equation has only one term with n, and only one term with numbers. So I will split it into two parts: (8n - n) + (13 + 5). Now you can solve this and you are left with 7n + 18. Therefore your answer is 7n + 18. Hope this helps. :D Feel free to ask questions about my explanation or ask any other questions.

A roulette wheel contains the integers 1 through 36, 0, and 00. suppose that you spin the wheel 6 times and that each time you bet on a single number. what is the probability (rounded to the nearest hundredth) that you win on at least one bet?

Answers

The probabability of winning on at least 1 bet is equal to 1 less the probaility of not winning on either of the 6 bets.

The probability of not wining on any bet is independent of winning or not winning on any of the bets, so the combined probability is calculated as the product of each individual probability.

Each indivitual probability of not winning the is:

(number of not winning outcomes) / (number of possible outcomes) = 37 / 38.

Then, the combined probability of not winning the six times is: (1/38)*(37/38)*(37/38)*(37/38)*(37/38)*(37/38) =(37/38)^6

Therefore, the probability of winning at least one bet is:

= 1 - (37/38)^6 ≈ 1 - 0.973684 ≈ 0.03.

Answer: 0.03.

Answer:

18/38

Step-by-step explanation:

edmentum/plato

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