The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?​

Answers

Answer 1

Solving a linear equation we can see that Paxton was a member for 5 months.

How many months was Paxton a member of the pool?​

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

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Related Questions

Please help me out !! Asap

Answers

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

Hey could you help me out please
I really don’t want to disappoint my father and I have too many assignments so can you help?

Answers

Answer:

Step-by-step explanation:

1.)  [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

a = 10, b = 7, c = x?

10+7= x

[tex]10^{2} + 7^{2} =x^{2}[/tex]

100 + 49 = [tex]x^{2}[/tex]

149 = [tex]x^{2}[/tex]

[tex]\sqrt{149} =[/tex] 12.206...

x = 12.2

2.) x + 19 = 21

[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]

441 - 361 = [tex]x^{2}[/tex]

80 = [tex]x^{2}[/tex]

[tex]\sqrt{80}[/tex] = 8.94

x = 9

3.) x + 16 = 27

[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]

729 - 256 = [tex]x^{2}[/tex]

473 = [tex]x^{2}[/tex]

[tex]\sqrt{473}[/tex] = 21.74

x = 21.7

4.) 12.8 + 5.3 = x

[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]

8.) x = 11.48 ft

a = 3.5 ft , b = x=? , c = 12 ft

[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]

9.) x = 32.078 feet

[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]

10.) perimeter = 31.96

hope this helped a lot

mark me brainliest :D

What is the answer to this Multi Step equation?

2y+29-8y=5

Answers

Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

if f(x)=4x+3 and g(x)=x^2-3 what is f(g(4))

Answers

[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]

help! QUICK! NO BOTS!

Answers

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

One-half of the sum of a number and 12 is less than 27.  What is the number?  Write as an inequality.  ​

Answers

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

pls help

The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
​(Round to the nearest tenth as​ needed.)

Answers

Answer:

what is the radius of 2

Step-by-step explanation:

y=-2x
y=-x
y=6x
positive or negative??​

Answers

Answer:

Positive i s the correct answer.

I hope it will work out

What is 43% of what is 27?

Answers

Answer:

[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]

[tex]11.61 \: is \: the \: ans[/tex]

Answer:

11.61

Step-by-step explanation:

% means 100

so we have 43/100

of means multiplication X 27

so we have 43/100x27

and the answer is 11.61

if you want to approximate it is 12


PLEASE HELP THIS IS DUE IN CLASS TODAY

Answers

Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free

please help me answer this question​

Answers

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

coins
You can earn 5 coins

Hint
Try writing two equivalent fractions with a variable representing the unknown quantity and then solving for the variable. For example, if a:b is equivalent to c:d, then ab=cd.






Correct Ratio10:203:43:7

Answers

Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the perimeter. Simplify your answer.

Answers

(7b + 1) + (7b + 1) + 10b
2(7b + 1) + 10b
14b + 2 + 10b
24b + 2

whats x
-5x + 2 = 67

Answers

x = -13
subtract 2 from 2 and 67 leaves you with
-5x=65
divided both sides by -5
x = -13

Answer:

x=-13

Step-by-step explanation:

Subtract 22 from both sides.

-5x=67-2

Simplify  67-2 to  65.

-5x=65  

3 Divide both sides by -5.

[tex]x=-\frac{65}{5}[/tex]

Simplify [tex]\frac{65}{5}[/tex] to 13.

 

x=−13

5.3.21

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.

9

m= -4b=

Enter the equation of the line in slope-intercept form.

(Do not factor. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

Which pair of functions are inverse function?​

Answers

Answer:

inverse functions is when the x and y coordinates are interchanged

Step-by-step explanation:

(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

a cube has a side length of x^5 cm express the volume of the cube as a power to a power

Answers

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

-2 + 1/2 what is the answer

Answers

Answer:

-1 1/2

Step-by-step explanation:

1/2 is positive and - 2 is negative

-1 1/2
1/2 is positive and -2 is negative

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?

(x + 3)
(x + 7)
(x + 12)
(x + 13)

Answers

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor?
(x + 3)
(x + 7)
(x + 12)
(x + 13)

Answer:A

Step-by-step explanation:

If a+ b = 6 and ab = 2 find a^3 + b^3

Answers

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

como
Si al dinero que tengo le sumo el doble de lo que tengo y le resto $4000
equivale a $11000. ¿Cuántotengo?
ar
ca
O a. 6000
O b. 5000
O C. 2000
O d. 4000
x

Answers

Answer:

D

Step-by-step explanation:

My gut tells me D because I don't understand your language

Please help with proportional relationships!!! (Photos)

(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!

Answers

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

What type of a regular polygon in which each interior angle is 2/3 of two right angles?​

Answers

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)

Answers

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

5. Find the triangle similar to AABC at the right. Question 5

Answers

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

How would you best describe the angle pair <6 and <7

Answers

Answer:

Consecutive interior angles

Step-by-step explanation:

NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)

Answers

Answer:

  B. cos(pi/2) +i·sin(pi/2)

Step-by-step explanation:

You can convert to rectangular and back, or you can use the trig function relations directly.

  w = 4·cis(π/2) = 4i

  z = 3·cis(3π/2) = -3i

Then the sum is ...

  w +z = 4i -3i = i = cis(π/2) . . . . matches choice B

__

An alternative representation of z is ...

  z = -3·cis(π/2)

Then ...

  w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)

_____

Additional comment

In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).

9-3 divided by 1/3 +1

Answers

The correct answer is 1.

Answer:

9-3/ 1/3 +1= 1

Step-by-step explanation:

PEMDAS

Find the perimeter. Simplify your answer.

Answers

Answer:

4s + 2

Step-by-step explanation:

The way we find the perimeter is we add up all the sides

s+1 + s + s+1 + s

Now we add up light terms and we get 4s+2 as our answer

Answer:

4s+2

Step-by-step explanation:

For perimeter we just have to add up all the sides.

So the equation would look like this:

s + s + (s+1) + (s+1)

There are 4 s variables and 1+1=2

So this can be simplified into :

4s+2

Hope this helps!

(Pls mark as brainiest)

Thanks!

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