Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 empty seats, costing them a total of $114,990. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight

Answers

Answer 1

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats


Related Questions

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

Answers

Answer:

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

Step-by-step explanation:

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

Please help, I am struggling with learning about this

Answers

Answer:

canvas? or is that a different website

Step-by-step explanation:

Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]

b can be any number.

This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.

[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]

Type log(25) / log(7) to get: 1.6542

Pls let me know if u have any questions about logarithms, it helps me study!!

Please explain which answer is correct and why. Thank you!

Answers

Answer: Choice 1

3(MC) = SC

=====================================================

Explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet

Answers

Answer:

26 ft

Step-by-step explanation:

25 points! Please help!

Answers

Answer: 15 minutes

Explanation:

Answer:

17.5(D)

Step-by-step explanation:

So, lets see:

Every 5 minutes, Raul answers 22 questions.

The test has 77 questions.

We must figure out the time it takes to answer all 77 questions.

To do this, lets first divide the total questions by the questions answered per 5 minutes:

77 / 22

=

3.5

I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.

So, the 3.5 is how many times he answrs 22 questions in five minutes.

To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:

3.5*5

=

17.5

We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.

So the answer is that for the 77 quesitons, it takes 17.5 minutes

HOPe this helps!

PLESE QUICKLY SOLVE URGENT

Answers

Answer:

$12.50 per lawn

Step-by-step explanation:

If you get $25 when mowing two lawns(inferred from the table) you would earn exactly half of that amount for 1 lawn.

25 ÷ 2 = 12.5

This means you are earn $12.50 for one lawn or $12.50 per lawn.

12.5

Hope this helps :D
And I can explain why if you need help

csc^ 2 theta- csc^ 2 theta sec^ 2

Answers

Answer:

-csc²θ(tan²θ)

Step-by-step explanation:

csc²θ-csc²θ(sec²θ)

-csc²θ(-1+sec²θ)

-csc²θ(tan²θ)

please answer ive been having such a bad day today

Answers

Answer:

A - y = 2x + 1

Step-by-step explanation:

2(2) + 1 = 5

2(4) + 1 = 9

2(6) + 1 = 13

Hope this helps <3

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so what are ratio of all players sixth graders on the team

Answers

Answer:

14:3

Step-by-step explanation:

14 total.

all players : sixth graders

14:3

14:3


Explanation:
3+5+6=14
Sixth grade player=3
14:3

The graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000. The line of best fit for the data is given by the equation =13+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

A. The rate of change is 1 new participant every 13 years.

B. The rate of change is 13 new participants every 13 years.

C. The rate of change is 13 new participants every year.

D. The rate of change is 50 new participants every year.

Answers

Answer:

B

Step-by-step explanation:

Answer:

The rate of change is 13 new participants every year.

Step-by-step explanation:

y=13x+50

This is in the form y = mx+b  where m is the slope and b is the y intercept

x is the number of years so for every year increase we gain 13 new participants

Find the surface area of the sphere with the given diameter or radius
d=8ft

Answers

Answer:

64π sq.ft. or ≈201.06sq.ft.

Step-by-step explanation:

use 4πr²   4π(4)² = 4π(16) = 64π sq.ft. or ≈201.06sq.ft.

Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 180 feet of fencing, what are the dimensions of the region with the largest area?

Answers

Answer:kind of hard try 3x-x+2=4

Step-by-step explanation:

The dimensions of the region with the largest area is length=90 feet and width=45 feet.

Given that, three of the sides will require fencing and the fourth wall already exists.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the length of a wall be l and the width of a wall be w.

So, l+2w=180

⇒ l=180-2w

Area of a rectangle = Length×width

A(w)= (180-2w)×w

= 180w-2w²

The value of 'w' for which the derivate of the area function is zero will yield the maximum area:

A(w)=180w-2w²

⇒ A'(w)=180-4w

⇒ 180-4w=0

⇒ 4w=180

⇒ w=45 feet

So, l=180-2w =90 feet

Therefore, the dimensions of the region with the largest area is length=90 feet and width=45 feet.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ2

If 7 - 3 and a + b = 2, what is a – b?​

Answers

Answer: a-b=45

Step-by-step explanation:

if 7-3 is 2 then there is a-b then in my view the answer should be 2

If Matt's share is 20% less than Kate's, how much is Kate's share more than Matt's?
A.
O 25%
B.
0
33.33%
38
C. O 20%
D. O 50%​

Answers

No jhhhshajkshguahvsgbxj

A box contains 16 red marbles, 25 green marbles, 4 yellow marbles and 10 blue marbles. A marble is chosen at random. What is the probability of not choosing a green marble

Answers

Answer:

Step-by-step explanation:

Help with math please?
I got C but Im not sure If im correct.

Answers

Answer:

D. angle 7 and angle 5.

Step-by-step explanation:

It is actually option 'D.' This is because angle 7 and angle 5 are vertical angles; vertical angles are always congruent.

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.​

Answers

Answer:

[tex]\displaystyle V = 147 \pi \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

h = 9 cm

r = 7 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]:                                     [tex]\displaystyle V = \frac{1}{3} \pi (7 \ cm)^2(9 \ cm)[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{1}{3} \pi (49 \ cm^2)(9 \ cm)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{1}{3} \pi (441 \ cm^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = 147 \pi \ cm^3[/tex]

Answer:

Solution given:

height[h]=9cm

radius [r]=7cm

volume of cone =?

we have

Volume of cone:πr²h=⅓*π*7²*9=⅓*22/7*7²*9=

462cm³

volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.

The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederates left the study and the control group not hearing about the gun. Unfortunately, word spread around campus about a man with a gun who stole a laptop during a study. Unknown to the study researchers, many potential participants participated in the research anyway, and kept an eye out for a gun, knowing that they might be asked about it. The researchers found that those in the experimental group did not differ from those in the control group about the likelihood of a gun. That is, the mean score that a gun was present during the second interview was similar for the experimental group (M = 67%, SD = 12.4%) and the control group (M = 63%, SD = 11.16%).

Maturation
Regression to the mean
Selection
Mortality
Instrumentation
Testing
History
Interactions
Diffusion
No Threat

Answers

Answer:

The answer is "The threat to internal validity is mortality".

Step-by-step explanation:

It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.

the standard form of a quadratic equation is ax^2+bc+c=0 identify the values of a,b and c in the quadratic equation 2x^2-5x+4=8x-6 with a>0​

Answers

Answer:

a = 2, b = -13 and c = 10

Step-by-step explanation:

The given quadratic equation, 2x^2-5x+4=8x-6, must be rewritten in standard form before a, b and c can be identified.

Combining like terms in 2x^2-5x+4=8x-6, we get:

2x^2 - 13x + 10

Then a = 2, b = -13 and c = 10.

Which term describes a fraction that has a polynomial in its numerator and denominator?

Answers

Rational expression refers to a fraction in which the numerator and denominator are polynomials.

Answer:

Rational expression

Step-by-step explanation:

A store sold 200 cell phone covers in April. The circle
graph shows the
percent of each color sold in that month. How many
more black covers
were sold than blue covers?

Answers

Answer:

24

Step-by-step explanation:

Given

[tex]Total = 200[/tex]

From the attachment, we have:

[tex]Black = 35\%[/tex]

[tex]Blue = 23\%[/tex]

Required

How many more of black than blue were sold

First, calculate the difference in percentage sold

[tex]d = 35\% - 23\%[/tex]

[tex]d = 12\%[/tex]

Multiply by the total phones sold;

[tex]d * 200 = 12\% * 200[/tex]

[tex]d * 200 = 24[/tex]

Hence, 24 more blacks were sold than blue

ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??

Answers

Answer:

I think it would be a translation, then a reflection, but I'm not 100% sure. Still, I hope I helped :)

Step-by-step explanation:

Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H

Answers

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

Answer:

∠A and ∠G

Step-by-Step Explaination:

I did it on

E

D

G

E

N

U

I

T

Y

Solid: What is the surface area of the pyramid? 7

units2 5 5 5 5 a

wats the answer plz​

Answers

Answer:

i am so sorry if its wrong

Each of the triangles making up the sides and base have a base of 8 cm and a height of 6.9 cm. Then the area of the pyramid is that of 4 such triangles.

 A = 4×(1/2)×b×h

 A = 2×(8 cm)×(6.9 cm)

 A = 110.4 cm²Step-by-step explanation:

Please help. I’m a bit confused on what I have to do.

Answers

Answer:

A

Step-by-step explanation:

the answer is a, 64^3

Which is the GCF of 36 and 90?

Answers

Answer:

The GCF of 36 and 90 is 18

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

18 is the greates common factor of 36 and 90.

Have a nice day

The length of the rectangle is 3 mentees more than the width. The perimeter is 26 meters. What is the length and width of the rectangle?

Answers

Length=8
Width=5

You can use the equation x+x+(x+3)+(x+3)=26

simplify the following expression (-5x + 6x2) - (6x2 – 5x)

Answers

Answer:

0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(-5x + 6x²) - (6x² - 5x)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                    -5x + 6x² - 6x² + 5x[Subtraction] Combine like terms (x²):                                                             -5x + 5x[Addition] Combine like terms (x):                                                                   0

Answer:

❊ [tex] \large{ \tt{STEP - BY - STEP \: EXPLANATION}} : [/tex]

♡ Firstly , Here are some of the questions & their answers which should be known before simplifying the given expression :

Q. Do I have to change the sign of each term of second expression while subtracting ?

Ans : Yep! While subtracting , sign of each term of the second expression changes whereas In addition , sign of each term in the expressions remains unchanged.

Q. What do you mean by Like terms & Unlike terms ?

Ans : Well , Like terms are those which have the same base whereas Unlike terms are those which have the different base [ For eg : In 4x , 2y , 3x & 4y , 4x & 3x are like terms and 2y and 4y are like terms ]. Also Remember : Only coefficients of like terms can be added or subtracted.

The Question / Answer part ends up here. Now , Let's get started for simplifying the given expression :

[tex] \large{ \bf{❊ \: ( - 5 {x}^{} + 6 {x}^{2} ) - (6 {x }^{2} - 5x)}}[/tex]

[tex] \large{ \bf{ ↬ \: - 5x + 6 {x}^{2} - 6 {x}^{2} + 5x}}[/tex]

[tex] \large{ \bf{↬ - 5x + 5x + 6 {x}^{2} - 6 {x}^{2} }}[/tex]

-Here , We can see the like terms with different signs. So, they cancel out each other.

[tex] \large{ \bf{↬ \: \cancel{5x} + \cancel{5x}} + \cancel{6 {x}^{2}} - \cancel{6 {x}}^{2} }[/tex]

-We're left with nothing , So the answer would be ' 0 ' .

[tex] \boxed{ \large{ \bf{↬0}}}[/tex]

[tex] \boxed{ \boxed {\large{ \tt{⟿ \: OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{0}}}}}}}[/tex]

✺ Don't Give Up , The Beginning Is Always The Hardest! ♪

❃ Hope I helped! ツ

☃ Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

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Solve the equation. x2 + 18x + 81 = 25

Answers

x=-4, -14

Hope this helped! :T

I need help with this question​

Answers

Answer:

C. prime Factorization

Step-by-step explanation:

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