The amusement park has two plans available for the school to choose from. Plan A is listed in the table below.


Cost (per vehicle) = $10
Cost (per person) = $30


The cost of Plan B can be calculated using the formula c = $15v + $28p, where c represents the cost, v represents the number of vehicles, and p represents the number of people. The school has a budget of $7200 for the cost of tickets and parking. If 241 students are going on the field trip, which plan should the school purchase? Explain your reasoning.

Answers

Answer 1

Answer:

the second plan should be purchased.

Step-by-step explanation:

school budget is $7200

plan 1: 241 students are $30 each is

241 × 30 = $7230 which is over budget with no money for parking for the vehicles.

plan 2: 241 students are $28 each is

241 × 28 = $6748

with a budget of $7200 for the trip the amount left for parking is

$7200 - $6748 = $452

plan 2: Parking is $15 per vehicle

Therefore the remaining $452 can be used to pay for 452 ÷ 15 = 30.13 vehicles

The school should purchase Plan 2 for the field trip.

The budget of $7200 can pay for 241 tickets for students and parking for 30 vehicles

Answer 2

The school should purchase the second plan.

School's budget = $7200

The cost for the first plan will be:

= 241 × $30

= $7230

This is more than the school budget of $7200

For the second plan, the cost will be:

= 241 × $28

= $6748.

This is below the school budget and therefore affordable.

The school should choose the second plan as there'll be more money available for parking.

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Discrete MathematicsReading Worksheet 2.3Answerall questions on another sheet of paper. You do not need to print out or recopy the questions.Please skip lines and write legibly.1.a) In the following argument form, which are the premises?b) What is the conclusion?c) Construct a truth table for the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the textbook. Create your own exampl

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Step-by-step explanation:

4x + 55 = 7x = 34
solve for x

Answers

Answer at the bottom

Step 1: Simplify both sides of the equation.

4x−7x=34−55

4x+−7x=34+−55

(4x+−7x)=(34+−55)(Combine Like Terms)

−3x=−21

−3x=−21

Step 2: Divide both sides by -3.

−3x

−3

=

−21

−3

x=7

Answer:

x=7

Can u guys help me plz quick (write a expression for the table plz)

Answers

Answer: Where is the table?

Step-by-step explanation:

Find the inequality by the graph

Answers

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

78 miles in 3 days, how many in 5 days

Answers

Answer:

390 but i might be wrong

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

26 miles per day 5 days is 130 miles

p/2 = 55
(P divided by 2)
Please help

Answers

Answer:

p = 110

Step-by-step explanation:

p = 55 × 2

55 × 2 = 110

hope this helps

Answer:

p = 27.5

Step-by-step explanation:

p/2 = 55

p = 55/2

p = 27.5

Please mark me brainlest

plz help will make brainliest!!!​

Answers

b hope this helps!!!!

Answer:

I think it is B.

Eric´s mother drives to work in 20 min when driving at her usual speed. When traffic is bad, she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric´s mother´s usual speed?

Answers

Answer:

30

Step-by-step explanation:

I could be wrong

The usual speed of Eric's mother is 4 miles per hour .

Eric´s mother drives to work in 20 min when driving at her usual speed.

Let the usual speed of Eric's mother be "u"  miles per hour (mph)

When the traffic is bad she drives 10 miles per hour slower.

The speed of Eric's mother when the traffic is bad = u-10 mph

The time taken by Eric's mother when the traffic is bad = 30 min

[tex]\rm Displacement = \dfrac{Velocity }{Time }[/tex]

The considering the displacement  in both  the cases is same hence we can

say that

[tex]\rm \dfrac{u}{20/60} = \dfrac{-(u-10)}{30/60} \\\rm 3u = -2u +20 \\5u = 20 \\u = 4[/tex]

So the usual speed of Eric's mother is 4 miles per hour .

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please help me i seriously have no idea what im doing

Answers

Answer:

When time watching TV increases the grade decreases

Step-by-step explanation:

U just gotta look at the graph and find the relationship

I hope that this helps you out...

Please help I’ll mark you as brainliest if correct!!!

Answers

Answer:

First is correct

Second is perimeter

Why? Because perimeter is the surounding part

Answer:

The first one is correct the second one is Perimeter

Step-by-step explanation:

Hope this Helps! :)

A Netflix subscription is on sale for $41.94 for six months. What is the cost per month

Answers

Answer:

$6.99

Step-by-step explanation:

Divide the total cost by the number of months

4

Step-by-step explanation:

PLEASE HELP, Will give brainliest if u help and 38 points.

You are deciding between two laptops to purchase. The first laptop has an initial value
of $2000 but loses 14% of its value every year. The second laptop has an initial value
of $1200 but loses 11% of its value every year.
a. Write functions that represent the values (in dollars) of the laptops after t years.
Then graph the functions in the same coordinate plane.
b. Find the approximate monthly percent decrease in value for each laptop.
C. Which laptop should you buy if you plan on selling the laptop in 5 years? Explain
your reasoning

Answers

Step-by-step explanation:

a)

The first laptop

Initial value- $2000Value loss - 14% every yearFunction for value-  V(t) = 2000*0.86^t

The second laptop

Initial value- $1200Value loss - 11% every yearFunction- V(t) = 1200*0.89^t

b)

Monthly percent decrease

The first laptop:

14%/12 = 1.16%

The second laptop:

11%/12 = 0.92%

c)

The second laptop will lose less value in 5 years hence is better choice

See the graph attached

(a) 3 -10
(b) 5 - (-2)
(c) -5 +12
(d) -18 + -15

Answers

(a)-7

(b)17

(c)7

(d)-33

Which is the graph of f(x) = x2 - 2x + 3?

Answers

Answer:

the one in the bottom is the graph in pretty sure

Answer:A

Step-by-step explanation:

Edge 2021

Rewrite as a simplified fraction. 0.51 = ?
the one is repeating btw​

Answers

Answer:

17/33

Step-by-step explanation:

100 x = 51.51

100 x − x = 51.51 − 0.51

99 x = 51

divide both sides by 99 to get  x  as a fraction.

x=51/99

=17/33

Answer:

23/45

Step-by-step explanation:

This is directly from Khan academy itself as I got this question too.

(The red marker is the incorrect answer I put in before.)

Please help it's due by 11 59 i will make as brainliest, thanks, and 5.0 for those who give actual and proper answers

Orange colors - Why are the locations of the police station and fire department congruent?

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Answers

Answer:

Step-by-step explanation:

Congruent are angles that are in identical angles. For example the orange colors are congruent because both of the angles are across each other, and because of them being crossed they are both the same degrees making the congruent, same with the blue but instead of being across eachother they are in the angle to the left of the parallel lines that are the same degrees as well.

Which could be the name of a plane?

A. JK
B. M (kinda cursive)
C. h
D. GH

Answers

Answer:

gh i think im not sure but that might be right i hope

Answer:

jk

Step-by-step explanation:

para jungkook de jk lang

Rana and Josie are cooking food for a party they need to cut up the food so people can share

Answers

Answer:

You didn't put a file or a question in ya question..

Step-by-step explanation:

Answer:

Hey there is nothing to solve here

Step-by-step explanation:

Please make something so we can solve it.

If y=1.8x, then k is equal to...
Is there no solution?

Answers

Answer:

There no solution, because there have no k in this equation.

Question One
There are three forward players, two defensemen, and one goalie on a hockey team. What is the ratio, in simplest form, of
defensemen to the total number on a team?
A
1:6
B
1:3
С
2:1
D
3:1

Answers

Answer:

a 1.6

Step-by-step explanation:

i am a sports center worker

Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,

Answers

Answer:

The rule: Adds twice as much as the previous number added

Next number: 38

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.

A survey was given to 323 people asking whether people like dogs and/or cats.

181 said they like dogs
137 said they like cats
80 said they don't like cats or dogs.

How many said they liked both cats and dogs?

Answers

Answer:

57

Step-by-step explanation:

when you divide both of the answers you get 57 and I'm 98 percent positive it's correct

Answer:

97?

Step-by-step explanation:

323 people

323-80= 234

234-137

97?

again if im wrong im truly sorry

HELP I’m being timed!!!

Answers

Answer:

b

Step-by-step explanation:

cause it is

Answer:

84

Step-by-step explanation:

im not sure tho

help me plz

The stage manager of a school musical is trying to figure out how many sandwiches he can order with the $83 he collected from the cast and crew. Sandwiches cost $5.99 each, so he lets x represent the number of sandwiches he will order and writes 5.99x < 83. He solves this to two decimal places and gets x < 13.86.

Which of these are valid statements about this situation? Select all that apply.
1) He can call the sandwich shop and order exactly 13.86 sandwiches.
2) He can round up and order 14 sandwiches.
3) He can order 12 sandwiches.
4) He can order 9.5 sandwiches.
5) He can order 2 sandwiches.
6) He can order -4 sandwiches.

Justify your answer(s).

Answers

Answer:

Step-by-step explanation:

1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.

2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.

3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.

4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.

5) He CAN order 2 sandwhiches. he has enough money for that

6) he CANNOT order negative amount of sandwhiches.

Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the

cost of a pen to the cost of a ball pen. [1 ½ m]

Answers

Answer:

Ratio of cost of a pen to cost of a ball pen is 15:7

Step-by-step explanation:

Given that:

Cost of dozen pens = ₹180

Unit rate = [tex]\frac{180}{12}[/tex]

Unit rate = ₹ 15 per pen

Cost of 8 ball pens = ₹ 56

Unit rate = [tex]\frac{56}{8}[/tex]

Unit rate = ₹7 per ball pen

Ratio of cost of a pen to cost of a ball pen,

15 : 7

Hence,

Ratio of cost of a pen to cost of a ball pen is 15:7

Find the unit rate.

Please help ty! :)

Answers

Answer:

0.008333 Servings per Calorie

Step-by-step explanation:

divide 240 by 2. your answer is 120!!

120:1

18 percent of what number is 74

Answers

Answer:

411.1111111

Step-by-step explanation:

18% of x = 74

Convert 18% into a decimal.

0.18 • x = 74

Isolate x by dividing by 0.18.

x = 411.1111111

Check answer.

0.18 • 411.1111111 = 74

74 = 74

How do you live a normal average life?

Answers

Answer:

by being normal UvU

Step-by-step explanation:

Common sense

"Normal isn't a thing because you are living your own life, it's your choice to make" -MikuHatsunepink

I know this is old, but someone's answer was deleted so I put this here

8(5 + 4n) + 11 = -5(3 - 7n)

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

n = 22

Answer:

n=22

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(5+4n)+11=−5(3−7n)

(8)(5)+(8)(4n)+11=(−5)(3)+(−5)(−7n)(Distribute)

40+32n+11=−15+35n

(32n)+(40+11)=35n−15(Combine Like Terms)

32n+51=35n−15

32n+51=35n−15

Step 2: Subtract 35n from both sides.

32n+51−35n=35n−15−35n

−3n+51=−15

Step 3: Subtract 51 from both sides.

−3n+51−51=−15−51

−3n=−66

Step 4: Divide both sides by -3.

−3n /−3  =  −66 /−3

n=22

share 660kg in ratio of 5:7

Answers

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

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