a national park has two options: a $50 pass for all admissions during the year, or a $4 entrance fee each time you enter. Write an equation to model the cost of going to the park for a year using the pass and another equation for paying a fee each time

Answers

Answer 1

With the variable "y" being used to represent the total cost of going to the park for a year, the first equation would read "y = 50" since it is a one-time, flat cost. The second equation would be "y = 4x", with "x" being used to represent the number of times the person visited the park during the year multiplied by the $4 cost per visit.

Related Questions

A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth.

Answers

check the picture below.

so, the height of the cylinder, will be a dimension of the square, and its radius, is also a dimension of the square, since the square is being rotated about to make it.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=7\\ h=7 \end{cases}\implies V=\pi \cdot 7^2\cdot 7[/tex]

Experts/ace where do i out the dots?

Answers

divide total paid by number of pencils for price of 1 pencil

4.50 / 18 = 0.25 for 1

so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots

see attached picture:

Not really sure how to do this one (ignore writing above)

Answers

[tex]\bf \left( x^{4a-3} \right)^2=x^{10}\implies x^{(4a-3)2}=x^{10} \\\\\\ \textit{since the bases are the same, the exponents must also be the same} \\\\\\ 2(4a-3)=10\implies 4a-3=\cfrac{10}{2}\implies 4a-3=5\implies 4a=8 \\\\\\ a=\cfrac{8}{4}\implies \boxed{a=2}[/tex]

Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three consecutive even integers is 48. what are the numbers?

Answers

Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8

Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6

2. Consecutive Odd Integers
X, X+2, X+4

X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer

3. 3 consecutive even number x, x+2, x+4

X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18

Final answer:

Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.

Explanation:

To determine between which two consecutive integers a given square root lies without a calculator:

For<6: √18 is between 4 and 5 because 4< √18<5.

For<5: √29 is between 5 and 6 because 5< √29<6.

For=5: √5 is between 2 and 3 because 2< √5<3.

For>7: √79 is between 8 and 9 because 8< √79<9.

Jason has 34 blueberry scones and 85 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of blueberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason call fill? Explain how you know.

Answers

GCF man.
i believe it would be 17.

hope it helps :)

Answer:

Each Bag can fit 2 Blueberry Scones and 5 Blackberry Scones

Step-by-step explanation:

Given:

34 Blueberry scones

85 Blackberry scones

34 Blueberry so 34 divided by the Bag 17 (34 ÷ 17 = 2)

85 Blackberry scones so 85 divided by the Bag 17 ( 84 ÷ 17 = 5)

Therefore Jason can put 2 Blueberry scones and 5 Blackberry scones in each Bag

The sum of two numbers is 54. their difference is 34. find the numbers.

Answers

x + y = 54
x - y = 34
----------------add
2x = 88
x = 88/2
x = 44

x + y = 54
44 + y = 54
y = 54 - 44
y = 10

so ur 2 numbers are 44 and 10

Phoebe, Andy and Polly share £270.
Phoebe gets 3 times the amount as Andy who gets twice as much as Polly.
Work out how much they get each

Answers

*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy    - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

B + A + L = £270 (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

B = 3A

3. Andy has twice as much money as Polly and this is expressed as

A = 2L      (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

6L + 2L + L = £270
9L = £270
L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

A = 2L
A = 2(£30)
A = £60

Andy has £60

B = 6L
B = 6(£30)
B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

Phoebe got £180, Andy got £60 and Polly got £30

The amount shared is given as:

Amount = £270

Represent Phoebe's share with x, Andy's with y and Polly's with z.

From the question, we have:

x = 3y

y = 2z

So, we have:

x : y : z = 3y : 2z : z

This gives

x : y : z = 6z : 2z : z

When £270 is shared in the above ratio, we have:

x : y : z = 180 : 60 : 30

Hence, Phoebe got £180, Andy got £60 and Polly got £30

Answers

Answer: Choice A) 1/9

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

Work Shown:

Replace every x with -4 and then simplify the right side

f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9

Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.

Urgent please!!!!!!!!!!!!!!!!!!!!!

Which of the following best defines ? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16

Square root of 16
Cube root of 4
Square root of 4
Cube root of 16

Answers

The answer is: " 16 * ∛12 " ; or, write as: " 35.631 " .
_____________________________________________________
Explanation:
______________________________________________

" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =

√16 * ∛6 *√4 *∛16 =

√16 * √4 * ∛6 * ∛16 =

4 * 2 * ∛6 * ∛16 =

8 * (∛6 * ∛16) =

8 * (∛(6 * 16) =

8 * (∛96) = ?
_________________________
What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
_________________________
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;

and: "8 * 12 = 96" ;
_________________________________
So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
__________________________________
and:
___________________________________
8 * (∛96) = 8 * 2 * ∛(12) ;
___________________________________
= 16 * ∛12 ; or, use a calculator to multiply to find the value:

= 36.6308557617066198 ; round to 35.631 .
___________________________________

Final answer:

The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.

Explanation:

The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.

On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.

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Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.

Answers

for estimating round both the price of shoes and the percentage to round numbers

97.65 is close to 100, so use 100 for the price of shoes

68% is close to 70 so use 70%

then multiply 100 by 70 %,

100 *70% = 70 dollars

so Isaac would pay around 70 dollars

Step-by-step explanation:

first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit

3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20

Answers

I'll do a similar problem, and I challenge you to do this on your own using similar methods!

x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10

Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with

-36y-13z=-92
and
-48y-25z=-217

Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217

Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3

Dividing both sides by (7+2/3) to separate the z, we get
z=[tex] \frac{282/3}{23/3} = \frac{282}{23} [/tex]

Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get
[tex]y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}[/tex]

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
[tex]x=23- \frac{217-25*282/23}{48}*5-2*282/23[/tex]

Good luck, and feel free to ask with any questions!

Clearview Window Cleaners washes 20 office windows in 168 minutes. How many hours is that?

Answers

2.8 because 168/60= 2.8 dqwjkFQIUUHFDIUEWAFIUHSDFHADSFHSJF

Its is two hours and forty eight minutes.

To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula 2003-05-04-00-00_files/i0150000.jpg. Rewrite the equation to convert degrees Celsius to degrees Fahrenheit.

Answers

Here's the formula for both conversions:

To convert Celsius to Fahrenheit, use the formula [°F] = [°C] x 9/5 + 32. For example, a 16°C temperature would convert to approximately 60.8°F.

The formula you are looking for to convert degrees Celsius to degrees Fahrenheit is [°F] = [°C] x 9/5 + 32. To perform the conversion, you multiply the temperature in degrees Celsius by 9/5 (or 1.8) and then add 32 to the result. This will give you the temperature in degrees Fahrenheit.

For example, if you wanted to convert 16°C to Fahrenheit (perhaps for planning a trip to Spain), you would do the following calculation: [°F] = 16 x 9/5 + 32 = 28.8 + 32 = 60.8°F. Thus, a weather forecast predicting 16°C is approximately equivalent to 60.8°F.

1. The expression x3+3x2+x-5 represents the total length across the front of the mansion. Find the length of side I. Show all work. X will stay a variable and your answer will be a polynomial.

Answers

Given that the expression [tex]x^3+3x^2+x-5[/tex] represents the total length across the front of the mansion. Let the length of side I be a, then

[tex]x^4-2x^3+x-10+a-x^3+5x^2+2=x^3+3x^2+x-5 \\ \\ \Rightarrow a=x^3+3x^2+x-5-x^4+2x^3-x+10+x^3-5x^2-2 \\ \\ =\bold{-x^4+4x^3-2x^2+3}[/tex]

which graph shows the inequality n>2

Answers

C. the third graph.
hope this helps!

round 0.947 to the nearest 10

Answers

Its 0.9 rounded to the nearest tenth :)
Hope that helps

The answer is 0.9! Good luck :)

The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.

3. Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

Answers

Attached the solution.

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?

Answers

It would be 148 general admissions tickets. If you want the work you can comment.

What is the answer to 45,469.23 rounded to the nearest thousand?

Answers

45,000.00 is the answer to your question

Final answer:

When rounding numbers to the nearest thousand, you look at the hundreds place digit. If it's 5 or higher, you round up, and if it's 4 or lower, you don't. Therefore, 45,469.23 rounds down to 45,000.

Explanation:

When rounding numbers to the nearest thousand in mathematics, you must first look at the hundreds digit of the number. In the case of 45,469.23, the hundreds digit is 4. If this digit is 5 or higher, you round up; if it's 4 or lower, you don't round up. Therefore, since the digit in question is 4, which is less than 5, you don't need to increase the thousands digit. As a result, when you round 45,469.23 to the nearest thousand, you get 45,000.

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describe the end behavior of the function. f(x)=x^3+11x^2+35x+30

Answers

To determine end behavior, we only have to look at the leading term.

First, the leading term is positive, so we won't have to negate anything.

The leading term has a power that is odd.

Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.

This also means that the function goes to negative infinity as x goes to negative infinity.

Those are the end behaviors.

Have an awesome day! :)

According to the data reported by the new york state department of health regarding west nile virus for the years 2000-2004, the least squares line equation for the number of reported dead birds (x) versus the number of human west nile virus cases (y) is y = −10.2638 + 0.0491x. if the number of dead birds reported in a year is 748, how many human cases of west nile virus can be expected? (round your answer to the nearest whole number.)

Answers

Final answer:

Using the least squares line equation y = −10.2638 + 0.0491x and substituting 748 for x, the number of reported dead birds, we find the expected number of human West Nile virus cases to be approximately 26 when rounded to the nearest whole number.

Explanation:

The question asks to predict the number of human West Nile virus cases based on the number of reported dead birds using a least squares line equation provided. Given the equation y = −10.2638 + 0.0491x and the value x = 748, which represents the number of dead birds, we can substitute x into the equation to calculate y, the expected number of human cases.

The calculation is as follows:

y = −10.2638 + 0.0491 × 748

y = −10.2638 + 36.7268

y = 26.463

After performing the calculation, we round the result to the nearest whole number:

Expected number of human cases = 26

32x-28y=-36. and y=-7/8x-1 parallell or perpendicular

Answers

The answer you need is perpendicular

Multiply. (6x−7)(5x+8)

Answers

(6x-7)(5x+8)

Using the distributive property:

= 6x(5x+8) -7(5x+8)
= 30x^2 +48x -35x -56
= 30x^2+13x-56

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

(6x − 7) and (5x + 8)

Multiply the polynomials, then we have

⇒ (6x − 7) · (5x + 8)

⇒ 6x · (5x + 8) − 7 · (5x + 8)

⇒ 30x² + 48x − 35x − 56

⇒ 30x² + 13x − 56

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

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How to find the y-intercept from two points?

Answers

where they intercept on the y axis fam

Final answer:

To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.

Explanation:

The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.

Here's a step-by-step process to find the y-intercept:

First, calculate the slope (m) from your two points using the formula: m = (Y₂ - Y₁) / (X₂ - X₁). Y₂ and Y₁ represent the y-values from your two points, and X₂ and X₁ represent their respective x-values.Substitute the slope (m) and one of your points into the equation y = mx + b. Solve for b which is your y-intercept.

The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.

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Evaluate {(30 + 6) - 3^2} divided by 9 x 2

A) 6.6

B) 6

C) 1.5

D) 34

Answers

36 - 3^2 divided by 2 * 9
36 - 9/9 * 2
36 - 2 * 1
36 - 2
34

Answer: D).

Hello!

Here is what the equation looks like, -since some of it is in words.

{(30 + 6) - 3^2} / 9 * 2

We're now going to simplify..

{(30 + 6) - 3^2} / 9 * 2 ---> {36 - 3^2} / 9 * 2

{36 - 9} / 9 * 2 ---> 27 / 9 * 2

27 / 9 * 2 ---> 3 * 2

3 * 2 ---> 6.

Your answer is B.

Hope this helps! ☺♥

Provide conditions under which the mean function is linear but has a negative coefficient

Answers

Depending on your dependent/outcome variable, a negative value for your constant/intercept should not be a cause for concern. This simply means that the expected value on your dependent variable will be less than 0 when all independent/predictor variables are set to 0. For some dependent variables, this would be expected. For example, if the mean value of your dependent variable is negative, it would be no surprise whatsoever that the constant is negative; in fact, if you got a positive value for the constant in this situation, it might be cause for concern (depending on your independent variables).Even if your dependent variable is typically/always positive (i.e., has a positive mean value), it wouldn't necessarily be surprising to have a negative constant. For example, consider an independent variable that has a strongly positive relationship to a dependent variable. The values of the dependent variable are positive and have a range from 1-5, and the values of the independent variable are positive and have a range from 100-110. In this case, it would not be surprising if the regression line crossed the x-axis somewhere between x=0 and x=100 (i.e., from the first quadrant to the fourth quadrant), which would result in a negative value for the constant.The bottom line is that you need to have a good sense of your model and the variables within it, and a negative value on the constant should not generally be a cause for concern. Typically, it is the overall relationships between the variables that will be of the most importance in a linear regression model, not the value of the constant.

Solve the inequality 2x + 8 < 5x - 4

A) X > 4

B) X > 1

C) X < 1

D) X < 4

Answers

The answer is A) X > 4

2x + 8 < 5x - 4
2x + - 5x < -8 - 4
-3x < -12
x > 4

answer
A) X > 4

Simplify the expression where possible.

(-5x^2)^3

Answers

(-5x^2)^3=
-5x^2*3=
-5x^6

(-5x^2)^3

-125x^6. When multiplying exponents you add them and 5^3 =125. since 3 is odd, then you keep the negative sign

One sample has n = 5 scores and the second has n = 10 scores.if the pooled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference?

Answers

Final answer:

The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.

Explanation:

The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.

The formula to find the estimated standard error for a difference between two sample means is:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.

Now substitute these values in the equation, we get:

SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3

So, the estimated standard error for the mean difference between these two samples is 3.

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Jane, andre and maria pick apples. andre picks three times as many lbs as maria. jane picks two times as many as andre. the total weight of the apples is 840 lbs. how many lbs of apples does andre pick?

Answers

Andre picked 252 apples.

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1. Helenes credit card has an APR of 16.8%. She never pays her balance in full, so she always pays a finance charge. Her next billing cycle starts today. The billing period is 30 days. Todays balance is $712.04. She is only going to use the credit card this month to make a $5,000 down payment on a new car "yellow journalism" is most associated with what conflict? is the success of KIPP academy based solely on the extend school day and year? 1.Which of the following best states the theme of "Holy Sonnet 10"?Select one:a. Because life is painful and exhausting, people should welcome death.b. People fear death because they fear the unknown.c. Because there is an afterlife, there is really no such thing as death.d. People who do not fear death will never really die.2.Which of the following best states the main message of the excerpt from "Meditation 17"?Select one:a. Any death is a tragedy.b. Everyone is part of a greater whole.c. God is all-powerful.d. People are more alike than they are different.3.In "Holy Sonnet 10," the speaker's attitude could best bedescribed asSelect one:a. weary.b. sad.c. bitter.d. defiant.4.In "A Valediction: Forbidding Mourning," according to the speaker, the lovers' souls "endure ... an expansion" (lines 22-23) in order toSelect one:a. shine more brightly.b. prevent the speaker from leaving home.c. bridge the gap between their bodies.d. become one. What are some groups of people who have strong feelings about how animals are treated? what do you know about them? what do they usually believe? Somebody plz help me?! When a person reaches the age of 35 for how many seconds has that person lived? Does tis table represent a function ? Use the three steps to solve the problem. Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now? {James is 78 a0yrs., Joe is 88 a1yrs.} (2x) (4x^2 + 3) A. 8x^2 + 3B. 8x^3 + 6x C. 8x^2 + 6x D. 8x^3 + 3 Which statement BEST summarizes this speech?A)President Lincoln delivers an address at the battlefield near Gettysburg where he dedicates a portion of the field to be used as a cemetery for the men who lost their lives in combat.B)President Lincoln delivers an address at the battlefield near Gettysburg where he expresses his contempt for the Civil War.C)President Lincoln delivers an address at the battlefield near Gettysburg where he begins to doubt the future of America.D)President Lincoln delivers an address at the battlefield near Gettysburg celebrating the end of the Civil War. In what point during the digestive process does your body begin to receive energy from the food? There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible? HELP!!!Read the sentence below and complete the instruction that follows.The trainer choreographed a routine that helped them win it.Identify the case of the underlined pronoun as well as the antecedent to which it refers.objective; ambiguousnominative; trainerpossessive; routineobjective; indefinite Draw or write two ways to use a doubles fact to find 6+7 the sebaseous glands secrete sebum or into the air shafts Demi is a 10-year-old with a mental age of 12. demi's intelligence quotient (iq) is Anyone know the answer? How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters is not allowed? Nestor belongs to the cross-country ski club at his college, but he is not a member of the downhill ski club. in terms of basic social categories, nestor's cross-country fellow club members are the _____ and the members of the downhill ski club are the _____." Steam Workshop Downloader