A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.

Answers

Answer 1

Let us say that:

x = number of students who are members.

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

$11x + $13(19-x) = $209

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

Related Questions

carol has 8 hours to spend on a mountain hike. she can walk up the trail at an average of 2 mph and can walk down at an average of 3 mph. how long should she plan to hike uphill before turning around

Answers

4.5 miles up the hill

Jim had 3,067.48 in his checking account.He wrote a check to pay for two airplane tickets. His account now has 1,845.24. How much did each ticket cost

Answers

Each ticket is 244.648 because you subtract the money you had in the account from how much you had left. Then you multiply 1,223.24 by 2 because it says that Jim bought 2 tickets and that should get you 244.648.

Answer:

Cost of one ticket=611.12

Step-by-step explanation:

In this question we have given

Amount in account= 3067.48

After purchesing 2 airplane tickets, amount in Jim's account=1845.24

Therefore,

Cost of two tickets=[tex]3067.48-1845.24[/tex]

Cost of two tickets=1222.24

Therefore,

Cost of one ticket=[tex]\frac{1222.24}{2}[/tex]

Cost of one ticket=611.12

a grandmother says her grandson is two years older than her granddaughter and that together they are at least 12 years old how old are her grandson and granddaughter

Answers

x = the granddaughter's age x + 2 = the grandson's age x + x + 2 ≥ 12 Collect like terms. 2x ≥ 12 Divide both sides by 2. x ≥ 6 years x + 2 ≥ 8 years

Grandson=granddaughter + 2
Grandson +gradaughter = 12

Make grandson x and granddaughter y

X=y + 2
X + y = 12

(Y + 2) + y = 12

2y + 2= 12
2y = 10
Y = 5
Granddaughter is 5
Grandson is 7

subtract the fractions and write your answer in lowest terms

3 5/6 - 3/4

A. 2 1/6
B. 3 1/12
C. 3 2/5
D. 3 1/2

Answers

[tex]3 \frac{5}{6}[tex]3 \frac{20}{24} - \frac{18}{24} = 3 \frac{2}{24} = 3 \frac{1}{12} [/tex] (4) = 3\frac{20}{24} [/tex][tex]3 \frac{5}{6} - \frac{3}{4} [/tex]
[tex] \frac{3}{4} (6) = \frac{18}{24} [/tex]

there are four seventh grade math teachers at central middle school mr. abott teaches 120 students in 6 classes mrs. garcia teaches 48 students in 3 classes mrs.nguyen's 5 classes total 109 students and ms. turner has a total of 121 students in 6 classes what is the average number of students in each seventh grade math class at central middle school

Answers

You see what the average is in each class. (Divid students and classes) and add them together and divid by four. You should get 18 if you round to the whole number.

A survey was conducted in local town on modes of transportation to work. The following circle graph shows the number of people who utilize each mode of transportation. If 320 people were surveyed, about how many of them would be expected to take a bus to work?

A. 42

B. 112

C. 130

D. 82

Answers

the numbers in ur circle add up to 120.....so the ones that took the bus were 42...

42/120 = x / 320...42 bus riders to 120 ppl = x bus riders to 320 ppl
cross multiply
(120)(x) = (42)(320)
120x = 13440
x = 13440/120
x = 112 <===

or u can also do it this way...
42/120 = 0.35 = 35%....so 35% took the bus
35% of 320 = 0.35(320) = 112 <=

Express 8 inches as a fraction of 3 feet in lowest terms

Answers

3 ft* 12 inches in a ft= 36 inches total

8/36= 2/9

Final answer: 2/9

3 feet = 36 inches

so the fraction is 8/36

36/4 = 9

8/4=2

so 8/36 reduces to 2/9

If the sales tax in Maple Town is 9.5%, how much would an ice cream of $4.25 cost with the tax added? Please explain.

Answers

To find the sales tax, you need to find 9.5% of 4.25

4.25*.095 = .40375

Now we need to add the sales tax to the price.

4.25 + .40375 = 4.65375
Because dollars one have 2 decimal points we should round this to 4.65

Hope this helped!

I agree with the first answer

How many times does 3/4 go into 8 1/2

Answers

ia that an 81 ??. if it is its 40/1 3/4

Solve for x. −2(x+1/3)+9x=4

PLZ HELP!!!!
20 POINTS!!!

Answers

-2x-2/3+9x=4
7x14/3
2/3

2/3 is the answer

distribute the -2

you end up with -2x -2/3 + 9x = 4

combine the x's

7x - 2/3 = 4

7x = 4 2/3

x = 2/3

What is the answer to 128.7 divided by 13 plz help

Answers

the answer is 9.9 .....

9.9 is the answer hope it helped

If the market price for a chair is $24 and the marginal cost for the chair is $7, the marginal revenue from the chair would be _____. $24 $17 $31 $7

Answers

The think that the anwser is $24

Item 2 Solve the equation. 6.7x=5.2x+12.3

Answers

To solve for x, subtract 5.2x on both sides to get 1.5x=12.3. divide 1.5 on both sides to get x = [tex] \frac{123}{15}[/tex] or x = [tex] \frac{41}{5}[/tex] = 8.2

I HAVE 1 HUNDREDS, 9 TENS, 9 ONES, 8 TENTHS AND 1 HUNDRETHS.WHAT NUMBER AM I?

Answers

199.81 is the answer

what is 4 1/2 + 3 3/4

Answers

8 1/4. hope that helped

a college student borrows 2000$ for 3 months to pay for a semester of school. If the interest rate is $41.25, find the monthly payment. HELP PLEASE!

Answers

answer is $652.91, just set it up as and equation.

The monthly payment is $680.42

Interest rate and amount

Given the following parameters

Principal = $2000Interest rate = $41.25Time = 3 months

Get the amount

Amount = 2000 + 41.25

Amount = $2041.25

The amount paid monthly = $2041.25/3

The amount paid monthly = $680.42

Hence the monthly payment is $680.42

Learn more on interest here: https://brainly.com/question/25545513

Convert to the given unit. 40 m to cm A. 0.4 cm B. 4 cm C. 400 cm D. 4000 cm

Answers

It's D because there are are 100 cm per m and so 40*100 = 4000

Final answer:

To convert 40 meters to centimeters, multiply by 100, since there are 100 centimeters in a meter. The result is 4000 centimeters.

Explanation:

To convert 40 meters to centimeters, we need to determine the correct conversion factor between meters and centimeters. Since we are going from a larger unit to a smaller unit, we will multiply.

There are 100 centimeters in one meter, so we use this as our conversion factor.

The conversion is as follows:

40 m × 100 cm/m = 4000 cm

Therefore, 40 meters is equal to 4000 centimeters.

the population of middleton is six thousand fifty four people write this number in standard form

Answers

Answer:

The answer to that question is 6,054

Describe all the numbers that when rounded to the nearest thousand are 645,000. Please help due tomorrow giving 10 points

Answers

to round to the thousands, see the hundreds place

if the hundreds place is 4 or below, round down, leave the thousands place
if the hundreds place is 5 or above, round up, add 1 to the thousands place

so all the numbers tha tround to 645000 when rounded to the nearest thousadnd are the numbers from 644500 to 645499

A shopper uses a department-store gift card to pay for 3 sweaters priced at $27 each. What is the change in the value of the gift card?

Answers

Well you multiply 27 by 3 to get 71 dollars

The required change in the value of the gift card is $ 81

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A shopper uses a department-store gift card to pay for 3 sweaters priced at $27 each.

According to given question we have

By the use of arithmetic we have

1 sweaters priced = $27

3 sweaters priced = $27 ×3

3 sweaters priced =$ 81

Therefore, the required change in the value of the gift card is $ 81

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ

What is the domain of the function g(x)=5^2x?
A-x>0
B-x<0
C- all real numbers
D- all positive real numbers

Answers

The domain of a function is a set of values that will map the function to a set of range.

for function [tex]g(x)=5^{2x}[/tex] the domain can be any numbers, for example:

[tex]g(0)=5^{2*0}=5^0=1[/tex]
[tex]g(3)=5^{2*3}=5^6=15625[/tex]
[tex]g(-4)=5^{2*-4}=5^{(-8)}= \frac{1}{390625} [/tex]

Answer: C - all real numbers

What is the estimate of 2,308 times 9

Answers

estimate for thousands: 2000 x 9 = 18000
estimate for hundreds: 2300 x 9 = 20700
estimate for tens: 2310 x 9 = 20790
estimate for ones: 2308 x 9 = 20772

hope this helps

ik the answer its 20,772 because
i just keep adding on like 2,308+2,308=4,616

What Is 16/6 As a Mixed Number/

Answers

2 4/6 is the mixed number

16/6 = 2 4/6

16 = 6 + 6 + 4

hope this helps

Which expression has a value of 51?

50+(10÷5+5)

(50+10)÷(5+5)

50+10÷(5+5)

(50+10)÷5+5

Answers

Choice A is incorrect
50+(10÷5+5)
50+ (2+5)
50+7
57
__________

Choice B is incorrect.
(50 + 10) ÷ (5 + 5)
60 ÷ 10
6
__________

Choice C is correct.
50 + 10 ÷ (5 + 5)
50 + (10 ÷ 10)
50 + 1
51
__________

Choice D is incorrect.
(50 + 10) ÷ 5 + 5
(60 ÷ 5) + 5
30 + 5
35

the answer is c 50+10 / 5.5

Would the answer be 31 or 16?

Answers

32/2= 16 games the first round

then you have 16 teams left

16/2 = 8 games the second round

8/2 =4 teams left

4/2 =2 games the 3rd round

then you have 2 teams left, so 1 game in the fourth round

so 16 +8 +4 +2 +1 = 31 games

By how much peter is overweight he is 105 kg his aim is to lose 500 g per week if he manages this how many weeks will it be until he is 90 kg

Answers

Hello There!

105 - 90 = 15kg
500g = 1/2 kg
Peter is 15kg overweight.
15 x 2 = 30
It will take him 30 weeks for this.

Hope This Helps You!
Good Luck :)

First I would turn 500g into kg and then set up an equation like the following.

So lets convert 500g to kg. We do this by using a conversion factor.
[tex]1g = 0.001kg = 1g:0.001kg = \frac{0.001kg}{1g}[/tex]

Now that we know this conversion factor lets set it up.

[tex]500g \times \frac{0.001kg}{1g} = 0.5kg = \frac{1}{2}kg [/tex]

Ok now we know Peter wants to lose 0.5 kg or [tex]\frac{1}{2}kg[/tex] a week.

Peter wants to lose 1/2 kg a week so we use x for weeks

Lost of weight per week
[tex] \frac{1}{2}x [/tex]

Next, it tells us that Peter wants to be 90 kg. So he needs to lose 15kg.
105 - 90 = 15kg

Now we need to find out how many weeks will it be untill he is 15kg. So, Lost of weight per week = 15kg

[tex] \frac{1}{2}x = 15 [/tex]
Now solve for x in [tex] \frac{1}{2}x = 15 [/tex]

[tex] \frac{1}{2}x = 15 [/tex]
[tex] 2 \times \frac{1}{2}x = 15 \times 2[/tex]
[tex] x = 30 [/tex]
So it will take 30 weeks at 1/2kg a week to lose 15kg

Find the absolute value of -18

18
-18
1/18
-1/18

Find the opposite of -25

25
-25
1/25
-1/25

Answers

absolute value of -18 is 18.

The opposite of -25 is the number which when added to it will give 0. So its 25

the sum of twice a number and 13 is 75

Answers

Greetings!

"The sum of twice a number and 13 is 75."...

Let's translate this into an equation:
[tex]2x+13=75[/tex]
Solve for x:
Add -13 to both sides.
[tex](2x+13)+(-13)=(75)+(-13)[/tex]
Simplify.
[tex]2x=62[/tex]
Divide both sides by 2.
[tex](2x)/2=(62)/2[/tex]
Simplify.
[tex]x=31[/tex]

The variable is equal to 31.

Hope this helps.
-Benjamin

30tens-3tens3tenths=

Answers

30 tens - 3 tens = 27 tens

27 tens - 3 tenths = 26 tens and 7 tenths

hope this helps

what is the square root of 4 multiplied by 16

Answers

the square root of 4*8=64 is 8

2 x 2 = 4 x 16 = 64
or
2
√4 = 2 x 16 = 32

Other Questions

In what way do acids affect your body? What precautions can a scientist take to be protected against charges of fraud? Solve for x.x/2 4x 8x 2x 8x 2Solve for t.3t 39t 13t 13t 13t 13Solve for x.6 108xx 2x 2x 2x 2Solve for d.5+d > 5dd > 6d > 0d > 10d < 5Solve for x.4(x+) 4x+3x 1x 7no solutionall real numbers Is it necessary to keep the concentrations of the two solutions the same? A major reason that the slogan states rights became tarnished in the 1950s and 1960s was that it had been used by Which feature do gas giants have that terrestrial planets do not? What is the value of x in the equation 0.7x 1.4 = 3.5? A.7B.3 C.3 D.7 How many significant figures does 1.362 + 25.2 have? Identify three solutions of the graph shown. Please help Maana nosotros ___ a la playa. voyvas vanvamos what do you need to do in order to increase or decrease your body fat percentage? Compare the importance of independence of cpas with that of other professionals such as attorneys What language is spoken in the philippines? Which of the choices below lists the successive stages in coal formation from first step to last? Why was trade so important to the development of Ghana, Mali, & Songhai? What was the outcome of the second continental congress Suppose a jet travels 60 kilometers in 5 minutes how many kilometers will it travel in 2 hours?in 6 hours ? In 6 hours it will travel? 25 POINTS!!!!!!!!!!!!!!!!!!!!!!Determine the graph of (f-g)(x) when f(x)=1/x and g(x)=sqrt(x).The answer choices are in order A B C D. Select all that apply. Which of the following factors determine conditions in a biome? population density temperature carrying capacity rainfall sunlight What is the value of the expression when a = 4 and b = 2? open study? Steam Workshop Downloader