Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid $1360, how many first class and tourist class passengers were there?​

Answers

Answer 1

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

x

)

1360

=

25

x

+

1560

30

x

1360

1560

=

25

x

30

x

200

=

5

x

x

=

200

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

x

=

52

40

=

12

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.


Related Questions

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)

Answers

Answer:

C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1

Step-by-step explanation:


Convert -36° from degrees to radians

Answers

Answer:

-0.6283

Step-by-step explanation:

-36° × π/180 = -0.6283rad

aswer

Answer:

-36π/180 or -.6283

Step-by-step explanation:

To convert from degrees to radians you multiply it by π/180

So you have -36π/180 which gets you around -.6283

Can somebody help me with the last 2. Will mark brainliest.

Answers

Sure what are the questions?

You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?​

Answers

Answer: You got 57 points out of 60.

Step-by-step explanation: Hope this helps :)

Answer: you got 57 points out of 60

Find the missing number.

Answers

Answer:

48

Step-by-step explanation:

Answer:  48

Step-by-step explanation:

Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48

Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.

What variables could Marcus investigate?

Answers

Answer:

bncjk make sure bgfdf hi olb f see him be see vg hhzch

please please please help

Answers

Answer:

Equation 1: 15+7h

Equation 2: 10h

Sorry can't graph for you

Step-by-step explanation:

(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)

Answers

Answer:

804−803+702−1

Step-by-step explanation:

Find 22÷(−2) need help

Answers

Answer:

-11...................

Answer:

-11

Step-by-step explanation:

22/2=11

its negative so make it negative

Answer this question for me please

Answers

Answer:

-8

Step-by-step explanation:

Answer:

4th one is the right answer.

| x | -2 | 1 | 2 | 3 |

| y | -6 | 3| 6 | 9 |

Step-by-step explanation:

The x and y relationship is in the form y=kx and the graph starts from the origin.

Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.

A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.

Answers

Answer:

3,161

Step-by-step explanation:

Khan

11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?​

Answers

Answer:

The range of the function is:

Range R = {14, 17, 20}

Step-by-step explanation:

Given the function

[tex]f(x) = 3x + 2[/tex]

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}

The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of the rectangle.

Answers

Answer:

the length is 8 and the width is 6.5

Step-by-step explanation:

6.5 x 2 = 13 - 5 = 8 x 6 = 52

The Calculator can confirm.

Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación

Answers

The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.

The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:

Cost price = 15 calculators × $40/calculator

= $600

The merchant sold 5 calculators at a promotional price of $100 each.

So, the revenue from selling these 5 calculators is:

Revenue = 5 calculators × $100/calculator

= $500

Now, we need to calculate the profit made from the sale of these 5 calculators:

Profit = Revenue - Cost price

Profit = $500 - $600

= -$100 (Negative because the merchant incurred a loss on these 5 calculators)

The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:

Desired profit = $150

Current profit = -$100

Additional profit needed = Desired profit - Current profit

Additional profit needed = $150 - (-$100)

= $250

The merchant has 15 - 5 = 10 calculators left to sell.

We need to distribute the additional profit of $250 among the remaining 10 calculators:

Additional profit per calculator = Additional profit needed / Number of remaining calculators

Additional profit per calculator = $250 / 10 calculators

= $25

Now, let's calculate the selling price of each of the remaining calculators:

Selling price = Cost price + Additional profit per calculator

Selling price = $40 + $25 = $65

So, the selling price of each of the remaining calculators should be $65.

To learn more on Selling price click here:

https://brainly.com/question/29065536

#SPJ4

Complete question:

A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation

i need help i will mark brainliest​

Answers

Answer:

-2?

Step-by-step explanation:

Multiply -1 by -4 to get 4

subtract 20 from 12 to get -8

[tex]\frac{-8}{4}[/tex] simplify to get -2

Compare A and B if 125% of A is equal to $120 and 135% of B is equal to $90
PLS HELP

Answers

The original value of A is greater than original value of B.

The given parameters:

125% of A = $120135% of B = $90

What is percentage of a number?The percentage of a number is fraction of the number expressed in hundred.

The original value of A is calculated as follows;

[tex]\frac{125}{100} \times A = 120\\\\1.25A = 120\\\\A =\frac{120}{1.25} \\\\A = \$ 96[/tex]

The original value of B is calculated as follows;

[tex]\frac{135}{100} \times B = 90\\\\1.35 B = 90\\\\B = \frac{90}{1.35} \\\\B = \$ 66.67[/tex]

Thus, the original value of A is greater than original value of B.

Learn more about percentages here: https://brainly.com/question/24304697

I need help quick I’ll give extra point to who ever answers

Answers

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Identity property/ Associative Property

what is the value of x ?

Answers

Answer:

6

Step-by-step explanation:

Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.

Answers

Answer:

A number plus seven times itself equals 1200.

Step-by-step explanation:

The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;

x + 7x = 1200.

Answer:

Step-by-step explanation:

marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined,  his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)

I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST

Answers

Answer:

yes

Step-by-step explanation:

you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3

hope this helps!

momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)

Answers

Step-by-step explanation:

you have to divide first then you round

Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.

Answers

Answer:

3 months

Step-by-step explanation: Let after m months they saved same amount of money.

Given,

Saving of Jaclyn = $ 120,

Amount earned by him/her per month = $ 40,

So, the total amount contained by him/her in m months = Saving + earning for m months

= 120 + 40m,

Similarly, saving of Pedro = $ 180,

Amount earned by him/her per month = $ 20,

So, the total amount contained by him/her in m months = 180 + 20m

Thus, we can write,

120 + 40m = 180 + 20m

40m = 180 + 20m - 120

40m - 20m = 60

20m = 60

⇒ m =  = 3.

Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.

(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?

Answers

Answer:

$12

Step-by-step explanation:

30% of 40 = 12

Answer:

its 28.00

Step-by-step explanation:

trust me

There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?

Answers

Answer:

850.

You just multiply the 8.5 by 100.

Answer:

850

Step-by-step explanation:

50 dkms(dekameters) in 0.5 km(kilometer)

8.5/0.5 =17

17*50 = 850

A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min.How fast is the height of the water increasin?

Answers

Given :

A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.

To Find :

How fast is the height of the water increasing.

Solution :

We know, volume of cylinder is given by :

[tex]V = \pi r^2h[/tex]       ....1)

Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .

Differentiating equation 1) w.r.t  t we get :

[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]

Therefore, the height of water is increasing at a rate of 0.141 m/min.

Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.

Answers

Answer:

[tex](f.g)x = {x}^{2} + 24x + 140[/tex]

Step-by-step explanation:

[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]

[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]

[tex]f(g(x))[/tex]

[tex]so \: [/tex]

[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]

[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]

[tex]f(x + 7) = x^{2} + 24x + 140[/tex]

[tex]therefore [/tex]

[tex](f.g)x = {x}^{2} + 24x + 140[/tex]

Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply

mean
standard deviation
mode
median
range

Answers

Answer:

Standard deviation Range

Step-by-step explanation:

Two identical sets of data are:

Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.

Mean

No, it could be greater or smaller

Standard deviation

Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.

Mode

No, it could be greater or smaller

Median

No, it could be greater or smaller

Range

Yes, it will increase as either lower or the higher value will be added to the data set.

Anyone know???????????

Answers

Answer:

I cant help I wish I could but its a test

Step-by-step explanation:

3+p=8 what’s does p equal

Answers

Answer:

p=5

Step-by-step explanation:

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