A museum charges a yearly membership fee plus an additional price per visit. Brian visited the museum eight times and paid a total of $175. Samantha visited the museum 13 times and paid a total of $235. What is the annual membership fee and the price per visit? Be sure to define your variables and solve algebraically.

Answers

Answer 1

Answer:

x = annual membership fee = $79

y = price per visit = $12

Step-by-step explanation:

Let

x = annual membership fee

y = price per visit

Brian:

x + 8y = 175

Samantha:

x + 13y = 235

x + 8y = 175 (1)

x + 13y = 235 (2)

Subtract (1) from (2) to eliminate x

13y - 8y = 235 - 175

5y = 60

y = 60/5

y = 12

Substitute y = 12 into (1)

x + 8y = 175 (1)

x + 8(12) = 175

x + 96 = 175

x = 175 - 96

x = 79

x = annual membership fee = $79

y = price per visit = $12


Related Questions

Can anybody tell the answer to this please!?

Answers

Answer:

the height when it was planted

Step-by-step explanation:

it started at 13 and grew 2.5 inches a week

33 +4 = 52 – 10
This equation can be simplified by combining like terms to become 8.2 + 4 = -10.
If "False", explain why
True
False

Answers

False because on side is positive and the other is negative

Please help!!
You rent an apartment that costs $1800 per month during the first year, but the rent
is set to go up 11.5% per year.
What would be the rent of the apartment during the
10th
year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = [tex]\text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}[/tex]

                          = [tex]1800(1+\frac{11.5}{100})^t[/tex]

                          = [tex]1800(1.115)^t[/tex]

Therefore, rent during 10th year will be,

Rent in 10th year = [tex]1800(1.115)^{10}[/tex]

                            = $5345.90

Answer:

4794

Step-by-step explanation:

1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

Answers

Step-by-step explanation:

1. Oblicz:

a) Liczbę o 15% mniejszą od 60

b) Liczbę, której 15% stanowi 60

c) Jakim procentem 60 jest 15

d) O ile %większa jest 60 od 15

2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?

3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?

4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.
1 2 3
4
5 6
7
8
9
10
Next
M

Answers

The first time in a year I have been to a couple years of the whole year of my life I cant it and my family is very very happy and i love

A salesman who is on the road visiting clients thinks that, on average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mon- days, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays. He wonders if this evidence contradicts his belief in a uni- form distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.

Answers

Answer:

The conditions are not met.

Step-by-step explanation:

The conditions for the chi square test for goodness of fit are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given may not be independent  i.e  have equal chances of occurrences or are maybe dependent on each other in the sense that there maybe a limit for his traveling mileage or the a limit for petrol ( fuel ) usage . So if he is required to drive 500 miles in a week each day mileage depends on the other day mileage .

Also we are given the information that keeps track of his mileage for several weeks, but we are not sure if several   refers to more than 5 .

As both conditions are not clearly satisfied it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.

The sample must also be a random sample.

Here he has taken the mean of all the days.

12. What property of multiplication is illustrated in 9 x 7=7 x 9?

Answers

Answer:

Commutative property

Step-by-step explanation:

Answer: Commutative property
9x7 is the same as 7x9 because you get the same answer but the questions are just switched.

there are between 24 to 40 students in a class. the ratio of boys to girls is 4:7. how many students are in the class.

Answers

Answer:

8 students

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.

there are 4*3 boys and 7*3 girls, 12 boys and 21 girls

find the Probability of pulling a green marble from a bag with six green and eight blue marbles.

Answers

Answer:

6/14 or in its simplest form 3/7

3/7 is the right answer, just took the test on plato

can someone please help me

Answers

Answer:

Step-by-step explanation:

Find x if y =(x - 4) - 25 and y=0​

Answers

1 switch sides
(x-4)=0
add four to both sides
x-4+4 = 0+4
simplify
x = 4

Please help asap I need this

Answers

Answer:

y= x+4

y=–4–2x

Step-by-step explanation:

using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)

The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.

Which expression represents the distance from the library to the park as modeled on the coordinate grid?


A. 5 + 3


B. 5 + -3


C. 5 - -3


D. -5 - -3

Answers

i cant see the grid :)

NO LINKS!! But someone pls help me I barely have points to keep reposting plsss The center of gravity of a triangular solid with uniform thickness and density
is at the intersection of the
of the triangle

Answers

Answer: Centroid

Step-by-step explanation: The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.

15 ( 10 + y) = 3

i need help so bad

Answers

Hopefully this is right
y = -49/5

Solve for i

3 (.5i - 6 ) = 12

Answers

Answer:

2

Step-by-step explanation:

15i-18=12

15i= 12+18

15i= 30

I= 30/15= 2

When rounding to the nearest hundred thousand, the weight of a blue whale was rounded to 500,000 pounds. What is the least the blue whale could actually weigh?

Answers

Answer:

450,000 pounds

Step-by-step explanation:

to round off to the nearest hundred thousand, look at thousand figure - If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

to be rounded off to 500,000, it means that the thousand figure has to be between 50,000 - 99,000

the least figure would thus be 450,000

which polygon matches this set of ordered pairs

Answers

Answer:

A

Step-by-step explanation:

To solve this problem, we can just locate all the points listed in the problem.

The ordered pairs match the rectangle which is answer choice A.

Answer:

A

Step-by-step explanation:

The reason is that J,K,L,M are the points and the numbers of each points inside the parenthesis are the values of x-axis and y-axis.The first one is x and the second one is y. For example:(x,y) — (1,5)

What is the value of 2x^2+6x-9 when x = 3

Answers

Answer:

45

Step-by-step explanation:

We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.

To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :

2x² + 6x + 9

2(3)² + 6(3) + 9

Do exponents first :

2(9) + 6(3) + 9

Now multiply the numbers with parenthesis next to them :

18 + 18 + 9

Add to get the answer :

45

Answer:

27

Step-by-step explanation:

We have the equation:

2x^2+6x-9

If x = 3, we can substitute 3 in for the x values.

We get the equation:

2([tex]3^{2}[/tex]) + 6(3) - 9

Using PEMDAS:

First, evaluate the power.

3^2 = 9

Then, multiply the numbers.

2 x 9 + 6 x 3 - 9

We get:

18 + 18 - 9

Simplify.

18 + 18 = 36

36 - 9 = 27

Hope this helps.

Given the function
y
=
(

6
+
x

6
x
2
)
(

9

9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
d
y
d
x
dx
dy

in any form.

Answers

Answer:

y=6+2x

Step-by-step explanation:

please help me I really need to turn it in I hate khan academy

Answers

42.5 units sq
I’m not sure because I did this partly in my head but this should be right.

Calculate the value of Molly's name if an acute angle is worth 5 points, a right angle is worth 7 points, and an obtuse angle is worth 7 points.

Answers

Acute Angles. Different Angles have different names: types of angle. An Acute Angle is less than 90° angle 54 degrees. This is an acute angle. All the angles below and answer is 19

The total value based on the information about the angles for Molly is 19 points.

How to illustrate the angles?

From the information given, it was stated that acute angle is worth 5 points, a right angle is worth 7 points, and an obtuse angle is worth 7 points.

Therefore, the total value of the points will be:

= 5 + 7 + 7

= 19

In conclusion, the number of points will be 19.

Learn more about acute angles on:

https://brainly.com/question/6979153

Is the function linear? How do you know?

Answers

Yes it is linear because the y valued are increasing at a constant rate

hi
what is the surface area of a rectangular prism with the following measurements:

15 cm height
5 cm width
5 cm length

thanks

Answers

Answer:

350

Step-by-step explanation:

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In a survey asking what is your favorite dessert, 15% of the students said their favorite dessert is candy. This means that 12 students said that candy was their favorite dessert. How many students were surveyed? (Hint you are trying to find the whole).

Answers

Answer:

80 students

Step-by-step explanation:

Ratios:

[tex]\frac{12}{x} =\frac{15}{100} \\\\15x=1200\\x=80[/tex]

Double check:

80(0.15) = 12

please help i will give brainlyest i promise

Answers

Answer:

the fist one

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did the math

Please help me with this,I will give you brainliest (only if you anwser first)

Answers

79.56 would be the answer, (i’m pretty positive) because you take all three numbers and you multiply them together.

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

256,934
What is value of the digit 5

Answers

Step-by-step explanation:

256,934

What is value of the digit 5

ten thousand

Answer:

[tex] \huge\red{\boxed{\mathfrak{Answer}}}[/tex]

➳ Value of 5 = 50, 000 or Fifty Thousand.

✏ Place Value - It's in ten thousand's place.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

7th Grade
A football player practices for 3 hours a day. This accounts for %25 of the time he is at school. How many hours is he at school?

If you want can you type or show how you got your answer.

Please help, Thank you.

Answers

The answer was is : The foot ball player is at school for 12 hours, I got this answer by multiplying 3 hours by 4 since 3 hours is a quarter and 4 quarters make up 100%.
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