A train can accommodate at most 80 passengers, economy class (x) and firstclass (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i) State/ describe what the variables x and y represent.
ii) State the objective function.
iii) List the constraints.

Answers

Answer 1

Answer:

Step-by-step explanation:

1) (x) is economy class and (y) is first class

2) The objective function is to avoid making a loss in prophet making the train have the avalibility  for 10 economy class passengers and at least 20 first class passengers.

3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.


Related Questions

8. In Jack's class, 18 of the students are tall and 10 ere short in Michael
class, 54, students are tall and 30 are short which class has a
higher ratio of tall to short students.

Answers

Answer:

both class have the same ratio

Step-by-step explanation:

You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.

please solve it CORRECTLY step by step asap​

Answers

Answer:

[tex]Product = \frac{3}{5}ab[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{7}a[/tex]

[tex]-\frac{21}{15}b[/tex]

Required

The product

The product is:

[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'

Cancel out the negative signs

[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]

Simplify fractions

[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]

[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]

[tex]Product = \frac{3}{5}ab[/tex]

One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?​

Answers

Answer:

32

Step-by-step explanation:

so because there is 1 cup of  kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.

2x - y = 5
x + 3y = 7

What is the value of the system determinant?

A.) 5
B.) 6
C.) 7

Answers

9514 1404 393

Answer:

  C)  7

Step-by-step explanation:

The determinant is the difference of the cross products of the coefficients.

 D = (2)(3) -(1)(-1) = 6 +1 = 7

The system determinant is 7.

Answer:

C.) 7

Step-by-step explanation:

#CarryOnLearning

PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.

a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.


4200+x≤8500

x−4200≤8500

8500≥4200−x

8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.

You can haul at most
cubic yards of sand.

Answers

Answer:

a) 4200+x≤8500

_____________

x ≤ 4300

________________

b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.

__________________

4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875

Select the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3

Answers

Answer:

A

Step-by-step explanation:

nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss

Find the value of x. Write your answer as a decimal.

Answers

Answer:

40.5

Step-by-step explanation:

x= ½(122-41)=½(81)= 40.5°

Hellppppppp pleaseeeeeee

Answers

Answer:

10^9/10^5

Step-by-step explanation:

2^3 = 8 x 2^6= 64 8 x 64 = 512

This is equal 10^9 / 5 ^ 9

Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT

Answers

Answer:

the answer is c or 45pie Units

Step-by-step explanation:

The surface area of the right cone is,

⇒ SA = 45π units²

What is mean by Multiplication?

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 3 units

Slant height of cone (l) = 12 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 3 × 12 + π × (3)²

⇒ SA = 36π + 9π

⇒ SA = 45π units²

Thus, The surface area of the right cone is,

⇒ SA = 45π units²

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The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi

Answers

Answer:

I don't know what to look for

but area of sphere = 4πr²

4×π×12×12

576πmm³

volume of sphere= 4πr³

3

4/3π12×12

576/3π

= 192πmm³

What is the parallel slope

Answers

Answer:hv

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts. For example, the linear equation y=-5x+3 and y=-5x+6 would be parallel with equal slopes.

These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME

Answers

Answer:

Step-by-step explanation:

Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)

Answers

Answer:

[tex]A.[/tex]

[tex]Domain = \{-6,-4,0\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

Required

The domain

A function is represented as:

[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]

Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]

So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

The domain is:

[tex]Domain = \{-6,-4,0\}[/tex]

Nafeli is taking a multiple-choice exam with 10 questions and 3 choices per question. For eachquestion, there are two equally likely possibilities, independent of other questions. In the firstpossibility, she knows the answer, in which case she answers the question correctly. In the secondpossibility, she guesses the answer with probability of success 1/3.1. Given that Nafeli answered correctly the first question, what is the probability that she knewthe answer to that question

Answers

Answer:

0.75 = 75% probability that she knewthe answer to that question

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Answered correctly.

Event B: Knew the answer.

Probability of answering correctly:

0.5(knows the answer)

1/3 of 1 - 0.5 = 0.5(didn't know but guessed correctly). So

[tex]P(A) = 0.5 + 0.5\frac{1}{3} = 0.6667[/tex]

Probability of answering correctly and knowing the answer:

0.5, which means that [tex]P(A \cap B) = 0.5[/tex].

What is the probability that she knew the answer to that question?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.6667} = 0.75[/tex]

0.75 = 75% probability that she knewthe answer to that question

Which equation matches the tape diagram shown?

Answers

I think it would be 19-5/2=x perhaps?

Please help I am so confused

Answers

Answer:

24 bottles per minute.

Step-by-step explanation:

We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.

24 bottles per minutes

What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19​

Answers

A) multiplying by 19.

NO LINKS

A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:

A)

Can't be determined

B)

Obtuse

C)

Right

D)

Acute

Answers

Answer:

b)   obtuse

Step-by-step explanation:

If this is a right triangle the hypotenuse would be

c² = 9² + 12²

c² = 81 + 144

c² = 225

c = √225

c = 15

Since the third side is 17 which is longer than 15

the triangle is obtuse

Answer:

obtuse

Step-by-step explanation:

True or False: A square is a specific type of parallelogram?

Answers

false, they are both quadrilaterals though.

Find GH. Round to the nearest hundredth

Answers

Answer:

B

Step-by-step explanation:

32.08.

ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi

Answer:

bit.^{} ly/3gVQKw3

Step-by-step explanation:

bit.^{} ly/3gVQKw3

2.) Write a verbal expression that
represents the algebraic expression.
m/12

Answers

Answer:

A number divided by twelve

Step-by-step explanation:

x=0,100,200,300, y=3.5,38.5 73.5, 108.5

Answers

Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

Y=11……………………………………. ……………………

Use Euler's formula to find the missing number.
Vertices: 23
Edges: 39
Faces: ?

A. 12
B. 14
C. 16
D. 18

Answers

Answer: D. 18

Step-by-step explanation:

Euler's formula is Faces + Vertices = Edges + 2

Faces = Edges - vertices + 2

Faces = 39-23 + 2 = 18

Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.

What is Euler's Formula?

Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.

The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,

F + V = E + 2

F + 23 = 39 + 2

F = 39 + 2 - 23

F = 18

Hence, the number of faces in the given object is 18.

Learn more about Euler's Formula here:

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1 point
5. Aaron drew a map showing the locations of two cities, Oden and Lundy,
on a grid. Aaron drew a straight line from Oden to Lundy. Which of the
following is closest to the distance between Oden and Lundy along the
straight line? *
Please help quickly!!

Answers

Answer:

10 miles

Step-by-step explanation:

Given

The attached grid

Required

The distance between Oden and Lundy

See attachment for modified grid

From the newly attached grid, we have:

[tex]d^2 = 6^2 + 8^2[/tex] ---- Pythagoras theorem

This gives:

[tex]d^2 = 36 + 64[/tex]

[tex]d^2 = 100[/tex]

Take positive square roots of both sides

[tex]d = \sqrt{100[/tex]

[tex]d = 10[/tex]

Hence, the distance is 10 miles

will mark brainliest please help

Answers

The answer is (1,-1)!
Please mark BRAINLIEST!

Answer:

Step-by-step explanation:

2x-3 =-4x+3

6x = 6

x = 1

plug 1 into either eq. to see what  "y" you get

2(1) - 3 = -1

so

(1, -1 )

Help!!
Find the area of the shaded region. Round to the nearest hundredth where
necessary. Show work

Answers

Answer:

look at the picture i have sent

The area of the shaded region is 192.325 m².

What is area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Outer radius = 21/2 = 10.5 m

Inner radius = 10.5 - 3.5 = 7 m

So, Area of shaded region

= π( R² - r²)

= 3.14 (10.5² - 7²)

= 3.14 (110.25 - 49)

= 192.325 m²

Learn more about Area here:

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QUICK PLZ really need help plz help

Answers

D and E.............

are these proportional or no

Answers

Answer:

The 2nd box is the 1st box is not

Step-by-step explation:

it just is thi sway

Answer:

nooe!

Step-by-step explanation:

the first set ads up to 133/120 whike the second ads up to 2 so they aren't :)

How do i write 25.4 million

Answers

Step-by-step explanation:

[tex]25,400,000[/tex]

Answer:

25,400,000

Step-by-step explanation:

What is the median Value of the data sat shown on the line plot?

Answers

Answer:

6 is the median of the data set.

Step-by-step explanation:

First, write all the numbers out.

1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

Next, highlight the one that is in the middle.

1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

If you have an even amount of numbers, or two numbers in the middle you have to find the mean between those numbers but because they are both 6 the median is still 6.

Have a wonderful day! :)

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