Maria and Bridgette both belong to the same public pool and attend swim classes with a coach. Maria pays $105 for her season pass and 6 swim classes. Bridgette pays $135 for her season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended? Explain what each variable represents and identify the initial value and the rate of change. Show your work.​

Answers

Answer 1

Answer:

T = 10s + 45

Step-by-step explanation:

Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.

Let the season pass be y and swim class cost be x.

Then according to given we have the following equations

y + 6x = 105y + 9x = 135

Solve the system by elimination, subtract the equations

y + 9x - y - 6x = 135 - 1053x = 30x = 10

Find y

y + 6*10 = 105y = 105 - 60y = 45

The initial value is 45 and rate of change is 10.

The equation for the total cost would be

T = 10s + 45, where T - total cost, s - number of swim classes  


Related Questions

plssss i need helpp ASAP​

Answers

Answer:

A.

1) 60

2) 27

B)

1.cm³

2.cm³

3.m³

Step-by-step explanation:

A)

5x3x4 =60cm³

3x3x3=27cm³

B)

1.cm³

2.cm³

3.m³

Hunter just got hired for a new job and will make $31,000 in his first year.
Hunter was told that he can expect to get raises of $1,500 every year going
forward. How much money in salary would Hunter make in his 10th year
working at this job?

Answers

46 k please give brainly if right. If not correct me please

Which math sentence can be used to determine if this triangle is a right triangle? A triangle has side lengths 12, 15, 18. 12 15 = 18 12 squared 15 squared = 18 squared 12 18 = 15 12 squared 18 squared = 15 squared.

Answers

Answer: its c

Step-by-step explanation:

Dolores is going to make a sandwich. She has 2 types of bread, 3 types of cheese, and 2 types of meat to choose from. How many different sandwiches can she make that have 1 bread, 1 cheese, and 1 meat?

Answers

Twelve hours later then we went to sleep and then woke me back at my house after my birthday and I got invited

A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 6 feet tall casts a shadow that is 3 ft long. How tall is the flagpole?

Answers

The height of the flagpole is 100 feet.

What are shadows?

Shadows are area devoid of light as a result of the obstruction of light by an opaque object.

Analysis:

The length of the shadow and the height of the flagpole are at right angles.

Similarly, the height of the woman and the length of her shadow are at right angles. Making both similar right-angled triangles.

The ratio of the height of the woman to that of pole is equal to ratio of the length of woman's shadow to that of the flagpole.

let length of flagpole be h.

height of woman = 6 feet

length of shadow of woman = 3 feet

length of shadow of pole = 50 feet.

[tex]\frac{6}{h}[/tex] = [tex]\frac{3}{50}[/tex]

3h = 300

h = 100 feet

In conclusion, the height of the flag pole is 100 feet.

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Solve 8 = 2x + 4
Ox=-4
OX= -1
Ox = 0
O x = 7

Answers

It is -4 because it is

The equivalent value of x from the equation is x = 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

Now , the value of A is

8 = 2x + 4

On simplifying the equation , we gt

Subtracting 4 on both sides , we get

2x = 8 - 4

2x = 4

Divide by 2 on both sides , we get

x = 2

Therefore , the value of x is 2

Hence , the equation is solved and x = 2

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The integral in this exercise converges. Evaluate the integral without using a table 0e^0d0

Answers

The value of  0e^0d0 is -1 if the integral in this exercise converges after applying limit.

What is convergent of a series?

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We are assuming the:

[tex]=\int\limits^0_{-\infty} {\theta e^{\theta}} \, d\theta[/tex]

Applying limit;

[tex]=\lim_{n \to \infty} \int\limits^0_{-n} {\theta e^{\theta}} \, d\theta[/tex]

After solving the integral:

[tex]=\lim_{n \to \infty} (e^{\theta})|^0_-_p[/tex]

= -(1-0)

= -1

Thus, the value of  0e^0d0 is -1 if the integral in this exercise converges after applying limit.

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Which of the following is equal to the rational expression when x≠1 or -1 5(x-1)/(x+2)(x-1)

Answers

The solution to the given expression will be [tex]\dfrac{-15}{x+2}[/tex]

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution will be:-

[tex]= \dfrac{-15(x-1)}{(x+2)(x-1)}[/tex]

[tex]=\dfrac{-15}{x+2}[/tex]

Therefore the solution to the given expression will be [tex]\dfrac{-15}{x+2}[/tex]

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What are the solutions of the equation 2x^2=18

Answers

x = 3, -3

See the attached image for the work!

Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table.

Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22

According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?

Answers

Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the section with the highest proportion of perfect views should be chosen, hence:

pL1 = 57/90 = 0.633

pL2 = 33/52 = 0.635

pL3 = 47/75 = 0.623

PU1 = 55/84 = 0.655

pU2 = 27/43 = 0.628

pU3 = 22/35 = 0.629

Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

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Answer:

answer in the picture have a nice day loves :)

Step-by-step explanation:

9 in
11 in
5 ft
19 in
12 in
Surface
Surface Area =
9)
3)
I need the surface area some please help

Answers

Answer:

730 in cubed

Step-by-step explanation:

hope this helps

have a good day

Simplify
3x+4.4-2(6.6+x)

Answers

Im not 100% sure but I think it’s X-8.8

A survey of students in the junior class at Avery's high school provided the following information:


Percentage of students who think there is too much homework

85%

Average number of hours per week spent on homework this year

8 hours

Average number of hours per week spent on homework last year

5 hours

Average number of students with afterschool jobs this year

215 students

Average number of students with afterschool jobs last year

135 students



In three to five complete sentences, write a statement that Avery can present to the school principal explaining why 85 percent of the students in the junior class think there is too much homework.

Answers

Avery can explain to her school principal that 85% of juniors think there is a lot of homework because several indicators have increased.

What is an indicator?

An indicator is a datum that is taken as a reference to analyze the evolution or change of a fact over time. In this case, the indicators would be:

Weekly hours used to do homeworkNumber of students with work for after school.

According to the information, it can be inferred that 85% of Junior students consider that there is an increase in homework because there were the following changes compared to last year:

Increase in hours spent on after school homework, last year the average was 5 hours, this year it is 8 hours.Increase in the number of students with after school jobs, last year it was 135 students, this year it is 215 students.

From the foregoing, it can be inferred that the number of homework has increased in Junior students and that is why now 85% of them consider that homework has increased.

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What is the greatest possible integer solution of the inequality 3.7x<12.3

Answers

Answer:

3 is the answer.

Step-by-step explanation:

You will have to divide both sides by 3.7, and you will get x<3.3. But because 3 is lesser than 3.3, it is the largest possible integer that satisfies the inequality.

Hey there!


EQUATION:

3.7x < 12.3

DIVIDE 3.7 to BOTH SIDES:

3.7x/3.7 < 12.3/3.7

SIMPLIFY IT!

x < 12.3/3.7

ANSWER:

x < 3.324324


Therefore, your answer is:

x < 3.324324


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

PLEASEEE I CAN'T DO ITT

Answers

Answer:

answer is cm² ok

Step-by-step explanation:

because it is saying area ,in area we have to put cm2

a 10 gallinas,un costal de alimentos les dura 30 dias .¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas y a otro de 25 gallinas?

Answers

Usando proporciones, hay que el mesmo costal dura 20 dias a un grupo de 15 gallinas y 12 dias a un grupo de 25 gallinas.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

a 10 gallinas,un costal de alimentos les dura 30 dias. ¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas? La regla de três es dada por:

10 gallinas - 30 dias

15 gallinas - x dias

Las medidas son inversamente proporcionales, por eso, aplica-se multiplicación de linea:

15x = 300

x = 20

Para 25 gallinas:

10 gallinas - 30 dias

25 gallinas - x dias

25x = 300

x = 12

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Convert 20341 base 5 into decimal system (also verify )

Answers

[tex](20341)_5\\\\=(2 \times 5^4 + 0 \times 5^3 + 3 \times 5^2 +4 \times 5^1 +1\times 5^0)_{10}\\\\=(2 \times 625+0+3 \times 25 +20 +1)_{10}\\\\=(1250+75+21)_{10}\\\\=(1346)_{10}[/tex]

I WILL GIVE Brainliest
WHAT IS 2 + 2=
a.4
b.3
c.69
d.420

Answers

Answer:

4

Step-by-step explanation:

2 + 2 = 4

Have a nice day:)

A- 4
Step by step
2 + 2 equals 4

What power of ten do we need to multiply 3.15576 by in order to find an expression equivalent to 31,557,600

Answers

Answer:

3.15576 * 10 to the power of 7 will get you 31557600.

Simplify the expression

Answers

Answer:

-1

Step-by-step explanation:

Use the Pythagorean Identity:

1 + tan^2(x)= sec^2(x)

Rearrange it. Substitute. Simplify.See image. It's been done two ways on the image. You don't need both. But they both use the process above. See image.

QPR=7x-9
RPS=4x+22
Find QPR

Answers

Answer:
QPR = 40
x = 7

Explanation: You would want to combine both the angles and equal them to 90 because they’re perpendicular to each other.

-1/3+(-7/4) in simplist form

Answers

Answer:

your answer will be [tex]-\frac{25}{12}[/tex]

Step-by-step explanation:

hope this helps have a nice day :)

[tex]-\dfrac 13 + \left( -\dfrac 74\right)\\\\\\=-\dfrac 13 - \dfrac 74\\\\\\=-\dfrac{4}{12}-\dfrac {21}{12}\\\\\\=-\left( \dfrac 4{12} + \dfrac{21}{12} \right)\\\\\\=-\left( \dfrac{4+21}{12}\right)\\\\\\=-\dfrac{25}{12}[/tex]

Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180

Answers

Answer:

All of them are true except for the second one.

Step-by-step explanation:

Answers A, C, D, E

A car used 12 gallons to travel 288 miles. How many gallons of gas will the car use to travel 192 miles?

Answers

Hey there!

Let "x" the number of gallons and "y" by the distance travelled.

According to question,

12x + 288y = 0 -->(i) x + 192y = 0

=> 12(x + 192y) = 0 × 12

=> 12x + 2304y = 0 -->(ii)

By Elimination method,

Equation (i) - (ii)

(12x + 288y) - (12x + 2304y) = 0 - 0

=> 12x + 288y - 12x - 2304y = 0

=> - 2016y = 0

=> y = 2016

Putting the value of "y" in Equation (i)

12x + 288y = 0

=> 12x + 288 × 2016 = 0

=> 12x + 580608 = 0

=> 12x = - 580608

=> x = 48384

Hope it helps

A. y= 1/2x-14
B. y=1/2x-5
C. y=2x-14
D. y=2x-5

Answers

Answer:

B. y=1/2x-5

Step-by-step explanation:

From the graph, we read the slope of line JK.

slope = rise/run = -3/-6 = 1/2

The equation we need has the same slope.

y = mx + b

y = (1/2)x + b

It passes through point P(6, -2). Now we find b.

-2 = (1/2)(6) + b

-2 = 3 + b

b = -5

The equation is

y = (1/2)x - 5

Which of these daily activities helps build a stronger body?
riding in the car to school
doing homework at your desk
watching TV on the couch
riding a bicycle to and from school each day

Answers

Answer:

riding a bicycle to and from school each day

Step-by-step explanation:

As this involves the constant application of force from the leg muscles, this will help to build a stronger body.

Answer: Riding a bicycle to and from school each day

Step-by-step explanation: Evey other action is to do with your mind.

What is 1 + 1 im dying from sleep deprivation and I lost the grand math challenge bc of this bro help me pls you smart ppl

Answers

Answer:

1

Step-by-step explanation:

say you don't have a dog.. your parents get you one dog, and then get you another, you now have 2 :)

There are 14 animals in the barn. Some are geese and some are sheep. There are 48 legs in all.
How many of each animal are there?

Answers

Answer:

24

Step-by-step explanation:

48÷2 (because every birds has 2 legs(

OMG GUYS HELP ME I GIVE 100 points what is 1+1 and what is 2-1 tell me!!! QUICK

Answers

Answer: 1 + 1 = 2

2-1 = 1

Step-by-step explanation:

basic math stuff

Problem 7
The figure shows a large rectangle with a small rectangle removed from one corner.
18
4
12
What is the area of the figure?
o A. 60 square units
o
B. 66 square units
OC. 72 square units
O D. 84 square units

Answers

Answer:

60

Step-by-step explanation:

add 18 and 12 to get 30 and divide that by 2 then you will get 15.

15 times 4 is 60

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