Anna and Bobie joined two different swimming classes at the same time.
Anna's swimming school charged an initial amount of $70 and Bobie's charged $250. Their monthly
fees were different.
The total amount paid for in the first t months is given by (PA) for Anna and (PB) for Bobie.
Anna paid $120 and Bobie paid $264 in total for the first two months, but after some months, they
found that they have paid the same amount in total.
After how many months will their total payments be the same and how much will it be?

Answers

Answer 1

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320


Related Questions

A recipe for 12 bran muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are two 2/3 cups of flour available how many muffins can be made

Answers

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

Ms. Hamby gave a quiz. Two students' work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form. Part A Based on Ms. Hamby's answer key, how many questions did Student A answer correctly? Explain your response.

Answers

Answer:

attach a picture

Step-by-step explanation:

Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2

Answers

Answer:

A and C

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero


1) Is the solution to -2.7 + x= -3.5 positive or
negative.

Answers

Answer:

positive because two negatives make a positive and the answer is not positive.

The solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is -2.7 + x= -3.5. The value of x will be calculated as,

-2.7 + x =-3.5

x = -3.5 + 2.7

x = -0.8

Therefore, the solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B​

Answers

Answer:

{2,4}

Step-by-step explanation:

How do break down what is the percentage of change in cost of the pizza

Answers

Annsjsnsns sjjejskwnw isjejejej siiejekwknwjes

The current temperature is 54 °F, convert the temperature to Celsius.

Answers

Answer:

b) 12.2222

Step-by-step explanation:

(54°F − 32) × 5/9 = 12.222°C

Answer:

The answer is

B ) 12.2

Step-by-step explanation:

(54°F − 32) × 5/9 = 12.222°C

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

If the simple interest on ​$3000 for 3 years is ​$720 ​, then what is the interest​ rate?

Answers

Answer:

8%

Step-by-step explanation:

Starting Principal: $  

3,000.00

Years:    

3

Annual Interest Rate:    

8

%

 

Results

Future Value, using...

 Simple Interest: $  

3,720.00

 Annually Compounded Interest: $  

3,779.14

A 36-m-wide field is how many yards wide?
The field is yards wide.
(Type a whole number or a decimal. Round to three decimal places as needed.)

Answers

Answer 39.370

Step-by-step explanation:

Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth. What does the ratio 6:8 represent in this situation? What does the ratio 4:18 represent in this situation. Explain your reasoning. Include a model in your explanation. I​

Answers

Answer:

Step-by-step explanation:

There are 18 teeth

6 tiger + 8 sand = 14

18-14 = 4

This means there are 4 bull shark teeth

4:18

4 bull shark teeth: 18 total shark teeth

Answer:

Step-by-step explanation:  ratio 6:8 is tiger shark:sand shark

the ratio 4:18  is  bull shark teeth:all the teath

Ihope this helps :D

The chart below contains the results of a survey in which students were asked about their cell phone plan.

Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4

What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing

Answers

Answer:

It is option C.

Step-by-step explanation:

I did the test.

Answer:

it c

Step-by-step explanation:

i did the unit test hope this helps :)

What is the best estimate of 157 divided by 2=

What is the best estimate of 108 divided by 5=

Answers

Answer:

157 divided by 2 is 78.5 round that to get 70

108 divided by 5 is 21.6 round that to get 22

3/2:1/4 as a unit rate

Answers

Answer:

25

Step-by-step explanation:

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.

What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Answers

Answer:

C

Step-by-step explanation:

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same as the column space of A.

Answers

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

p – 22 < 40 . could you give me the answer and the steps thank you!

Answers

Answer:

the answer is 62

Step-by-step explanation:

ok so all you do is add 22 instead of subtracting 22

Determine the slope, y-intercept and equation of the graph below.

Answers

Answer:

Step-by-step explanation:

y intercept is 7.5

slope 1/2

y = 1/2x + 7.5

. Simplify the following expression by combining like terms:
3a + 6ab + 9ab + 3(a + ab)

Answers

Answer:

6a+18ab

I think is correct

Answer:

6a+18ab

Step-by-step explanation:

hope this helps

Does anyone understand this?

Answers

Answer:

no looks confusing

Step-by-step explanation:

Yes, 18-1, 36-2 and so on, add 18 on the left side as you add 1 on the right, then put that on the graph

2. Determine the scale factor of a drawing if the scale is 1 inch = 4 feet.

Answers

Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

FIRST RIGHT ANSWER GETS BRAINLIEST!!!!
A chimpanzee has a lifespan of approximately 50 years. The average lifespan of a Galapagos tortoise is at least 4 times that of a chimpanzee. Write an inequality to represent the lifespan of a Galapagos tortoise.

Answers

Answer:

w h a t

Step-by-step explanation:

Answer:

Step-by-step explanation:

chimpanzees, including the eating of colobus monkeys, by calling them (p3) ... times before the last 40,000-odd years, a time period which may ... metabolic limitation for humans of no more than 50% of calories to ... the evolutionary life span of our species, Homo sapiens, which is ... dead animals, from turtles to elephants.

Pick A B or C. Explanation would be helpful

Answers

Answer:

c

Step-by-step explanation:

c is the correct answer

a family rents a cottage for $79.95 a day for 7 days. about how much does the family pay for the cottage?

Answers

They will pay $559.65,rounded will be $560.00.


Hope this helped <3

Answer:

$560

Step-by-step explanation:

Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.

Use the graph below for this question:

What is the average rate of change from x = −3 to x = 3?
a) −1
b) 0
c) 1
d) 6


Use the graph below for this question:
What is the average rate of change from x = 2 to x = 3?

a) 2
b)3
c) 0
d) 5

Answers

Answer:6 0

Step-by-step explanation:

whatis the reciprocal of the number. 7/8

Answers

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

The function y=15x + 100 models the freight shipping charge of x pounds of cargo. What best describes the constant term of the function

Answers

Answer:

the constant is 15

Step-by-step explanation:

because it is constantly going up. the slope (15x) is what changes.

If Mrs.Burks spent 3.87 on grapez at kroger and bought 3.05 pounds,how much was each pound​

Answers

Answer:

1.26885245902 or rounded to $1.27 per pound.

Step-by-step explanation:

you can just divide 3.87/3.05 to see how much each pound costed. if you needed to round to the nearest cent, you would round up to 1.27.... or if not, keep it at 1.26885245902.

then to check your work, you can just multiply (1.26885245902) by (3.05) to get the total amount she had spent.

can u find all the angles plz?

Answers

Answer:

The two sides we know are O pposite (300) and A djacent (400).

SOHCAH TOA tells us we must use T angent.

Calculate Opposite/Adjacent = 300/400 = 0.75

Find the angle from your calculator using tan-1

:)

Answer:

1 = 88 2 = 42 3 = 113

Step-by-step explanation:

2 is 42 because it is the opposite angle and then you subtract 42 and 50 from 180 to get 88 for #1 and you subtract 42 and 25 from 180 to get 113 for #3.

In a random survey, 35 out of 100 people were able to correctly answer the question asked. If 400 people are surveyed, about how many would be expected to answer the question correctly?

Answers

Step-by-step explanation:

In a Random survey 35 out of 100 people answered correctly.

100-35

=65

[tex] \frac{35}{65}(400) [/tex]

[tex] \frac{7}{13}(400) [/tex]

[tex] \frac{2800}{13} [/tex]

[tex]215.384[/tex]

I think this is the answer but I am not entirely sure so you can maybe verify from someone.

I WILL MARK BRAINLIST
Question 9

Answers

Answer:

True

Step-by-step explanation:

True because I did that one too
Other Questions
________ is an example of the moon's gravitational force on Earth. It would be nice of you to help. =) Pablo and Charles were conducting an investigation where they were measuring the energy of a glass marble as it rolled down a ramp. According to their calculations, the total energy of the marble decreased.Which statement below is the best explanation for the decrease in total energy? how many resistors are found in the circuit? Take a look at the picture! \large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ? 8.010 02.6410 3 Mr. Yoshi has 75 papers. He graded 60 papers, and he has a student teacher grade the rest. What percent of the papers did Mr. Yoshi grade? Gaber Land Corp. is evaluating a 4-acre (front 2-acre and back 2-acre) waterfront property for development. Gaber is considering a design that includes a 32-unit building on each lot. Determine the total initial cost using the per unit model Which is a structure in the middle ear that can be partially visualized during otoscopy? cochleamalleusstapesvestibule Select the correct answer. Which student is exercising at the right intensity? A. Megan can sing while she rides her bike. B. Kyle's heart rate is above his target heart rate. C. Jason feels dizzy while he is running. D. Ashley is breathing hard but can still talk while she plays tennis. WORTH 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!! How does cold water affect the speed of dissolving?A. Cold water slows down dissolvingB. Cold water speeds up dissolvingC. Cold water has no effect on dissolving D. Cold water completely stops dissolving Can someone answer this please!! An example of direct democracy would be _________. A consent of the governed B representative governmentC voting D the Electoral College What determines the sex of an organism, the male sperm cell or the female egg cell? ______ These employees of the government are not political. So, who serves their positions no matter who gets elected president what is the slope intercept formula What concern was incorporated into western art during the renaissance? Why does ice cream melt and is it a physical change or chemical change How did Native Americans learn Spanish culture? a. from their ancestors. b. through the missions. C. from Spanish books. d. from the Spanish soldiers. Please select the best answer from the choices provided A B C D. what is 14+8.12 42 What is a low female voice?BassTenorSopranoAlto