Question 7
SPORTS The Fan Cost Index (FCI) tracks the average costs for attending sporting events, including tickets, drinks, food, parking, programs,
and souvenirs. According to the FCI, a family of four would spend a total of $592.30 to attend two Major League Baseball (MLB) games and
one National Basketball Association (NBA) game. The family would spend $691.31 to attend one MLB and two NBA games.
a. Write a system of equations to find the family's costs for each kind of game according to the FCI. Let x be the cost of MLB games and y be
the cost of NBA games.
MLB: $
x+
NBA: $
y=592.30
b. Solve the system of equations to find the cost for a family of four to attend each kind of game according to the FCI.
y=

Answers

Answer 1

Answer: a. To write a system of equations to find the family's costs for each kind of game according to the FCI, we can use the information provided in the problem. According to the FCI, a family of four would spend a total of $592.30 to attend two MLB games and one NBA game, and the family would spend $691.31 to attend one MLB and two NBA games. Let x be the cost of MLB games and y be the cost of NBA games. Then we can write the following system of equations:

x + y = 592.30 equation 1 represents the cost of attending two MLB games and one NBA game

2y + x = 691.31 equation 2 represents the cost of attending one MLB and two NBA games

b. We can solve the system of equations to find the cost for a family of four to attend each kind of game according to the FCI.

We can substitute equation 1 into equation 2

2y + (592.30 - y) = 691.31

2y + 592.30 - y = 691.31

2y = 691.31 - 592.30 = 99.01

y = 49.51

we know y represents cost of NBA games so 49.51 is cost of one NBA game for a family of four

x = 592.30 - y = 592.30 - 49.51 = 542.79

x represents cost of MLB games so 542.79 is the cost of one MLB game for a family of four

So, according to the FCI, a family of four would spend $542.79 to attend one MLB game, and $49.51 to attend one NBA game.

Step-by-step explanation:


Related Questions

Someone please help me !

Answers

Answer:

x² + 6² = 17²

6² + x² = 17²

Step-by-step explanation:

Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:

[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]

Or you can also form as

[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]

Therefore, there are two correct answers here.

Is A ={ x x 2 )= 4 and 3x 9 an empty set justify your answer?

Answers

The value of 'x' is not same in both cases, so this is a empty set.

How to calculate A={x x 2}=4  and 3*9 an empty set?

step1

Because here square of element of set should be 4 then element should be 2 or -2 but when 2 or -2 multiplied by 3 gives 6 or - 6 which is not equal to 9. So, no element exists which can satisfy both conditions.

A={x x 2}=4 and 3x=9 is not empty set because there is no element we can say that is an empty set but there is an element, so it is not an empty set.

step2

X^2=4

Therefore only 2's square is 4

In first equation X=2

But in second equation

3x=9

Therefore here X=3

One variable has only one value

Therefore it is an empty set

To learn more about null set refers to;

brainly.com/question/13553546

#SPJ4

Tell whether the pairing is a function.

Answers

The relationship in this problem is a function, as each input is mapped to a single output.

When does a relation represents a function?

A relation represents a function when each input value is mapped to a single output value.

From the table, we have that:

The input 1 is mapped to the output 20.The input 2 is mapped to the output 21.The input 3 is mapped to the output 21.The input 4 is mapped to the output 22.

Each input is mapped to a single output, hence the table represents a function.

More can be learned about relations and functions at brainly.com/question/10283950

#SPJ1

How do you multiply integers in 7th grade?

Answers

To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.

What is integer?

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.

Here,

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.

To know more about integer,

https://brainly.com/question/10930045

#SPJ4

Convert this equation into standard form

Answers

The equation into standard form is x = 4

How to convert the equation into standard form

From the question, we have the following parameters that can be used in our computation:

0 = x - 4

A linear equation in standard form is represented as

Ax + By = C

So, we have

0 = x - 4

Rewrite as

x - 4 = 0

Add 4 to all sides

x = 4

hence, the equation is x = 4

Read more about linear equation at

https://brainly.com/question/2030026

#SPJ1

Imma need some help here

Answers

Answer:

no it is not a solution

Step-by-step explanation:

to determine if (- 5, 4 ) is a solution to the system, substitute the x- coordinate x = - 5 into the right side of both equations and if the value obtained is equal to the y- coordinate y = 4 then it is a solution.

Note that this must be true for both equations

y = 3(- 5) + 19 = - 15 + 19 = 4 ← True

y = - 2(- 5) - 7 = 10 - 7 = 3 ≠ 4 ← False

thus (- 5, 4 ) is not a solution to the system of equations.

40
24
Solve for x.
60
X
x = [?]
Enter the number that belongs in the green box.

Answers

On solving the provided question we can say that the value of x is in parallel line is  equal to 36.

Example of a parallel line.

Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.

40/24 GO/x

x = (60 24)/40

x=36

To know more about parallel line visit:-

https://brainly.com/question/16701300

#SPJ1

A rectangle playground has a width of 540 feet and

Answers

i think you’ve missed off most of the question

solve the compound inequality n+2≤−5 and n+6≥−6

Answers

Answer:

-12<=n<=-7

Step-by-step explanation:

what is the exact length of third side

Answers

Answer:

Step-by-step explanation:

The sum of the squares of the shorter sides is equal to the square of hypotenuse!

Does standard form have to be between 1 and 10?

Answers

No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.

THE STANDARD FORM

Standard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.

For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).

It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.

Learn more about Standard Form here:

https://brainly.com/question/29000730

#SPJ4

Kaj signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c = 1.5x + 6.99, where X represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 1.5 represent in the equation?

Answers

In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation for total cost per month is c = 1.5x + 6.99.

Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.

So, c and x are variable components of the equation.

There are only two fixed components in the equation 1.5 and 6.99.

Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.

Hence, 6.99 becomes the fixed monthly membership cost of the music service.

Therefore, 1.5 is cost of per song downloaded.

To learn more about equation from the given link

https://brainly.com/question/26310043

#SPJ1

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? if so, how many such positive integers can you find? if not, explain why not.

Answers

To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

A perfect square is what echo number?

If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023  is a perfect square after a few iterations:

√202320232023202320232023 = 449800213454.

The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.

Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

To learn more on natural numbers, visit  : brainly.com/question/17429689

#SPJ4

I have a tape diagram it is, there is 1 bus for every 32 students on a field trip. there are 96 students on a field trip how many buses are needed?

Answers

Answer: 3

Step-by-step explanation:

32 x 3 = 96

Mason spent $50 on school supplies. after buying 12 erasers for $17.88, he had $32.12 left over. How much did each eraser cost? Please help I need my grades up!

Answers

Answer:

$1.49

Step-by-step explanation:

17.88/12 = 1.49

Answer:

each eraser cost $1.49

Step-by-step explanation:

take how much it cost 17.88

divide by how much you have 12

get how much one unit or 1 of what you have

17.88/12=1.49

If two lines are perpendicular, how many right angles are formed? Why?

Answers

Answer:

Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).

It would be four right angles because they all intersect with each other.

Are triangles ABC and XYZ similar?

Answers

Therefore ,as a result, ABC is equivalent with XYZ, which is the answer to the triangle problem that was presented.

Tell us about the triangle.

Given its three sides and three vertices, a triangular is a polygon. This geometric shape is fundamental. Triangle ABC is a triangle that has the points A, B, and C as its corners. In geometric shapes, when four pieces are not collinear, a single plane and triangle are obtained. Polygons include triangles since they have three sides and a top right corner.

Here.

Therefore,

∠ A = ∠X because ABC is identical with XYZ.

∠B and ∠Y have the same meaning.

∠Z equals ∠C, and

Line ab has the same value as xy.

Line bc and yz are interchangeable.

Line ac corresponds to xz.

Cpct was employed to find a solution.

Triangle segments that are congruent are matched.

As a result, ABC is symmetrical with XYZ is the answer to the presented triangle problem.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ4

Complete question is: Are triangles ABC and XYZ similar?

On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass

Answers

Answer:

50%

Step-by-step explanation:

Divide the number of glass beads by the total number of beads:

75 glass beads / 150 total beads =

75 glass beads / 150 beads =

75/150 =

1/2 =

0.5 =

0.5 * 100% =  ==> 100% = 1

50%

Find the value of X………….

Answers

The bases of a trapezium are parallel to each other.

The line x is parallel in this trapezium.

Hence,

Given two sides

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)

I think you should provide extra information for correct answer.

that the angles etc.

Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent.

Answers

The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.

What is a loyalty card?

A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.

Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.

First, we will calculate the discounted amount:

= 20% * $42.05

= $8.41

Second, we will calculate the new amount of cost:

= $42.05 - $8.41

= $33.64

Read more about discount

brainly.com/question/15407093

#SPJ1

y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.

y = 16 when x = 27. Find the value of y when
x = 18.

y = 3.2 when x = 30. Find the value of x when
y = 8.

Answers

The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

y inversely varies as x.

That means, y ∝ 1/x.

So, y = kx, where k constant of variation.

Then, x × y = k

When y = 16, x = 6.

k = 6 × 16 = 96

So, the equation of variation is xy = 96.

When x = 18,

18y = 96

⇒ y = 96/18

⇒ y = 16/3

When y = 3.2,

3.2(30) = 96

When y = 8

8x = 96

⇒ x = 12

Therefore, the values are  y = 16/3 and  x = 12.

To learn more about the proportional relationship;

brainly.com/question/28777033

#SPJ1

Help quick!
The figure is not drawn to scale.

Answers

Answer:

<f = 132°

Step-by-step explanation:

360 - 56 - 106 = f + g

f = 2g

198 = 3g

g = 66

f = 2g

f = 2(66)

f = 132

A ratio of 4 to 5 may be written as all of the following except:
4:5
4/5
8/10
5/4
16/20

Answers

Answer:

5/4

Step-by-step explanation:

A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.

4 to 5 can be written as 4:5.4 to 5 can also be written as 4/5 or [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{8}{10}[/tex] because when 8 and 10 are divided by 2 you get [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{16}{20}[/tex] because when 16 and 20 are divided by 4 you get [tex]\frac{4}{5}[/tex].4 to 5 cannot be written as 5/4 because [tex]\frac{5}{4} or 5:4[/tex] is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.

Please let me know if this helped!!!

HELP! Does the system shown always, sometimes, or never have a solution when a = b? a ≥ b? a ≤ b?

Answers

Answer: ok ok... If this is like pick one ima go for A. = b

Step-by-step explanation: i hope this helps<3

Which of the following statements is true?

Computers depend on your input.
Computers understand emotions.
AI is very expensive and is used only by businesses.
Modern computers use more energy than humans.

Answers

Answer:

I think it's clear that it's A. Computers depend of you input

Best Buy is selling a 62" TV for $1,250. The TV is on sale for 15% off and there is a 6% sales tax. What is the final cost of the TV? Please help me I don't know how to do it

Answers

Answer:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

Step-by-step explanation:

final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56

The final cost of the TV would be $1,063.50.

To calculate this:

First, calculate the discount by multiplying the original price of the TV ($1,250) by 15% (0.15). This equals $187.50.

Subtract the discount from the original price of the TV ($1,250 - $187.50 = $1,062.50)

Next, calculate the sales tax by multiplying the price after the discount ($1,062.50) by 6% (0.06). This equals $63.75

Finally, add the sales tax to the price after the discount ($1,062.50 + $63.75 = $1,063.50)

Leo designs a banner for class elections. His banner has 3 congruent circles glued on a rectangular length of butcher paper. The circles touch the edges of the paper and do not overlap. VOTE FOR LEO! If the butcher paper is 24 inches long, what is the area of one circle? Use 3 for pi

Im having issues with this question does anyone know this question STEP BY STEP ​

Answers

The area of one circle is 48 in² if the butcher paper is 24 inches long.

What is area?

The area of a two-dimensional figure is the total area it takes up. It is the quantity, in other words, that counts the number of unit squares that cover the surface of a closed figure.

Square units—commonly expressed as square inches, square feet, etc.—are the accepted unit of area.

Given that:

3 congruent circles are perfectly fitted in the rectangular banner of length 24 inches,

⇒ diameter of each circle =  length of rectangular banner/3

⇒ d =  24/3

⇒ d =  8

⇒ r =  8/2

⇒ r =  4

Area of circle, A = π r²

A = 3× 4 × 4        (used pi as 3 as instructed in the question)

A = 48 in²

Thus, the area of one circle is 48 in² if the butcher paper is 24 inches long.

Learn more about area

https://brainly.com/question/27683633

#SPJ1

Use the Distributive Property to expand 6(-4x + 3y)

Answers

Answer: -24x+18y

Step-by-step explanation:

6(-4x+3y)

=6*(-4x)+6*(3y)

=-24x+18y

Answer:

6(-4x + 3y)

Step-by-step explanation:

-24x + 18y

6(-4x + 3y)

y -1/4 x = -1
y - 2 = 4x
A no solution
B infinite solutions
C one solution

Answers

c it’s one solution

Answer:

x=-4/5, y=-6/5. (-4/5, -6/5).

Step-by-step explanation:

y-1/4x=-1

y-2=4x

--------------

y=4x+2

4x+2-1/4x=-1

4x-1/4x=-1-2

16/4x-1/4x=-3

15/4x=-3

x=-3/(15/4)

x=(-3/1)(4/15)

x=-12/15=-4/5

y-2=4(-4/5)

y-2=-16/5

y=-16/5+2

y=-16/5+10/5

y=-6/5

What value is equivalent to (8+2)2 + (6 − 4) × 3?
A.106
B.110
C.6
D.94
E.18

Answers

Answer:

A. 106

Step-by-step explanation:

Use the correct order of operations.

(8 + 2)² + (6 − 4) × 3 =

= 10² + 2 × 3

= 100 + 6

= 106

Other Questions
22. a nurse is working with a school aged child who is dying. the child is hostile and uncooperative. which action by the nurse is the most appropriate? A car of mass 2000Kg is following a curve of radius 300 m at a speed of 50.0 m/s find the coefficient of static friction between the car and the road?0.1270.090.840.79 a symptom often seen in acute glomerulonephritis is edema. the most common site the edema is first noted is in which area of the body? how many ways are there to arrange three quanta among three one-dimensional oscillators? An ice-cream street vendor operates out of a small truck. He considers replacing the truck with a larger one but decides not to. Apply the appropriate label to each cost.annual fee for operating permit fixed costincreased profits that would have been made possible by a larger truck opportunity costcost of buying ice cream from wholesaler each week variable costpurchase cost of current truck (paid off last year) sunk cost What is the molar mass of. 3 moles of iodine, 5 moles of gold, and 2. 5 moles of potassium. There is no choices Im asking what is the molar mass solution of the elements calculate the area of the parallelogram with the given vertices. (-1, -2), (1, 4), (6, 2), (8, 8) compute the second partial derivatives 2f x2 , 2f x y , 2f y x , 2f y2 for the following function. f(x, y) = log(x y) A technician determines the concentration of calcium in milk using two instrumental methods. If Fcalculated > Ftable for the two sets of calcium data, what conclusion(s) can the technician make?I. The difference in standard deviations for the two instrumental methods is significant.II. The difference in standard deviations for the two instrumental methods is not significant.III. The data comes from populations with the same standard deviation.IV. The data does not come from populations with the same standard deviationA) I and IIIB) I and IVC) II and IIID) II and IVE)Only II if we plug r, f, and room temperature (298.15 k) for t into the equation relating standard cell potential and the equilibrium constant, we arrive at an equation that relates ecell to what is 27% in a equivalent form using the two other forms of notian: fraction,decimal,or percent Compare the control of gene regulation in eukaryotes and bacteria at the level of initiation of transcription. Sort each characteristic into the appropriate bin. initiation requires interaction between cis-acting elements and the trans- acting factors activators and repressors bind to enhancers and silencers, respectively chromatin structure may need to be modulated by chromatin remodeling, histone modifications, or DNA modifications to make the promoter accessible activators and repressors can influence recognition of promoters large DNA loops are induced bringing promoters and enhancers or silencers) close to each other repressor proteins induce DNA conformational changes in the form of repression loops, which prevent RNA polymerase binding to promoters subunits regulate t promoters are recognized by the subunits of the RNA polymerase specificity RNAs can adopt secondary formation of DNA loops contributes to regulation of transcription initiation promoters located upstream of the structures that either allow or repress initiation, making transcription responsive to environmental or cellular conditions transcribed gene Bacteria Eukaryotes Both which one of the following students best illustrates the concept of learned helplessness as an explanation for failure by low socioeconomic status children? 1. during your audit of bricks, inc., your test of a control over revenue recognition shows that the control is ineffective. explain what you should do next. a factor in anova is an item potentially influencing the data that may or may not have an effect on the outcome. true or false? A 6.106.10-DD lens is held 10.5cm10.5cm from an ant 1.00mm1.00mm highpart aFind the image distance. Follow the sign conventions.part bWhat is the height of the image? Follow the sign conventions. If you had 5. 69 x 1025 atoms of Mg, how many moles would you have? Which of the following is the best indicator that an organization's leadership is aggressively pursuing patient- and family-centered care?(A) The organization consults with a patient advisory council, comprising patients and family members who are actively engaged in all decision making around care.(B) Patients and families chair all committees in the hospital.(C) Providers are trained on communication with patients, including how to use teach-back and collaboratively set agendas at the beginning of visits.(D) A and C Each of the following is an example of how hashing is used except ______.A. bank automatic teller machine (ATM)B. verifying a user password entered on a Linux systemC. determining the integrity of a message Explain one of Bottoms jokes he makes about the fairies' names.