Mathematics High School

7. 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

Answer:

12 first class and 40 tourist

Step-by-step explanation:

Answer 2

Answer:

40 tourist class passengers, and 12 first class passengers.

Step-by-step explanation:

Here's my explanation:

We let X be the number of passengers booking for the tourist class.

If there were 52 passengers who paid 1360, then to find the number of passengers who booked first class, we write:

52-x

And if the airline fares are 30 per first class and 25 dollars for tourist class, you would say 30.00(first class)+25.00(tourist class)=1360

Using substitution, plug-in 52-x for the first class:

30(x)+25(52-x)=1360

30x+1560-25x=1360

1360-1560 =25x-30x

-200=-5x

x=40

Plug in 40 for x,

52-40=12

So, 40 tourist class passengers, and 12 first class passengers.

Related Questions

URGENT Find the area of the shaded region.​

Answers

Answer: 3.32276 units squared

Step-by-step explanation:

area of total sector=(pi*r^2)/360

=2^2 * 120pi /360

=4*120/360 * pi

=4.1887902

area of the triangle=(1/2)*base*height

the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2

the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.

the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025

so the difference is 4.1887902-0.866025

=3.32276 units squared

Chuck left his house to ride his bike in a path like the right triangle
shown. How many total miles did Chuck ride his bike?

Answers

It would be 10 miles since we use Pythagorean Theorem

Please help me with the math questions!!!

1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?

2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?

3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?

4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?

5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?

6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?

7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?

Answers

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

what is the area of a square with an apothem length of 14 inches?

Answers

Answer:

784

Step-by-step explanation:

A = 1/2ap       A = area , a = apothem , p = perimeter  

a = 1/2s          a = apothem length , s = side length

14 = 1/2s , 14(2) = 1/2s(2) , 28 = s

p = 4(s) , p = 4(28) , p = 112

A = 1/2ap , A = 1/2(14)(112) , A = 784

                 or

A = s^2 , A = 28^2 , A = 784

The area of a square with an apothem length of 14 inches is 784 inches.

What is apothem?

The perpendicular from the center of a regular polygon to one of the sides.

As, A = 1/2*a*p      

where, A = area , a = apothem , p = perimeter  

Also, a = 1/2s          

where, a = apothem length , s = side length

14 = 1/2s

14*2=s

s=28 inches.

Now, perimeter of square

p = 4(s)

p = 4(28)

p = 112 inches

Now, Area of square,

A = 1/2ap

A = 1/2*(14)*(112)

A = 784 inches

Hence, the area of square is 784 inches.

Learn more about apothem here:

https://brainly.com/question/9172186

#SPJ2

What is the measure of EGF?

What is the measure of CGF?

Answers

Answer:

[tex]EGF = 65\\ CGF = 115[/tex]

If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690​

Answers

C. p(11) = 626.

Step-by-step explanation:

Given  : p(x) = 5(x²+1)+16.

To find :  what is the value of p(11).

Solution : We have given  p(x) = 5(x²+1)+16.

For x = 11.

p(11) = 5((11)²+1)+16.

p(11) = 5 ( 121 + 1 ) +16.

p(11) = 5 (122) + 16.

p(11) =  610 + 16.

p(11) = 626.

Therefore,  p(11) = 626.

The local weather report stated there is a
3
chance of rain on Saturday. How likely is it to rain?
4?

Answers

Answer:

likley

Step-by-step explanation:

Its not certain at the fraction isn't 4/4 it is likely though as the there is a 3/4 chance which is more than half.

pls help, I need this :)

Answers

Answer:

1st statement is true

Step-by-step explanation:

The 1st statement is true since .25 is 25/100

The 2nd statement is false since 20 / 10 = 2 not .20 which is 2/10

The 3rd statement is false since 2/3 = .6666667 not .23

The 4th statement is false since .4 = 4/10 not 1/4 which is .25

To determine the amount of peanuts a bag will hold, Toby needs to find the
A: Area
B: Length
C: Perimeter
D: Volume

Answers

Answer:

D: Volume

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

Hello fello humans I need help on this question please and thank you :)

Answers

Answer: The value of x is 6.

Step-by-step explanation:

In the figure we have two secants.

A secant is a line that intersects a circle in exactly two points.

For the figure attached below:

[tex]a\times b=c\times d[/tex]

So for the given figure,

[tex]x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6[/tex]

Hence, The value of x is 6.

Answer:

x=6

Step-by-step explanation:

and hello to you as well

Can someone please answer this

Answers

Answer:

It is true

Step-by-step explanation:

It is the same shape, it is just moved to a different spot on the graph because of translations.

Complete the square to find the vertex of this parabola. Please help will mark brainliest!

Answers

The vertex is (4, -20)

What is the first quartile of the data shown in the box plot

Answers

Answer:

55 to 70

Step-by-step explanation:

The first quartile is the left-most region of the graph, from 55 to 70.  The second quartile stretches from 70 to 80.

Find the area of the figure round to the nearest tenth

Answers

Answer:

72.0

Step-by-step explanation:

A can of Mountain Dew has 46 grams of sugar with is 92% of a persons maximum daily value. What is the maximum grams of sugar a person should consume a day?

Answers

Answer:

50 grams

Step-by-step explanation:

Let t = maximum daily sugar value

From the question, we know that : 92% of the daily value is 46 grams

this equation can be formed

0.92 x t = 46 grams

to find t, divide both sides of the equation by 0.92

t =46/0.92= 50 grams

HEllllpp! Will give brainlyiest!!
Use the diagram below for this question. The angle bisectors of triangle ABC meet at G.
If m∠ ABC = (4x + 12) degrees and m∠ GBA = (3x – 4) degrees , find m∠ GBC.
26 degrees
44 degrees
52 degrees
36 degrees

Answers

enti ses lol ingeAnswer:no sw

sonçStep-by-step explanation:

The ratio of the number of boys to the number of girls in a choir is 7 to 4. There are 48 girls in the choir. How many boys are in the choir? A. 75 B. 84 C. 48 D. 90​

Answers

Answer:

84boys

Step-by-step explanation:

boys:girls

7:4

4= 48

7=?

=84boys

Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)

Answers

Answer:

(5x-3)(3x+4)

Step-by-step explanation:

I hope this helps

Is –2,823,680 − 8,957,599 positive or negative?

Answers

Answer:

negative

Step-by-step explanation: it has negative signs

It’s negative. Hope this helps:)

Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?

Answers

Answer:

Graph 4 or D on edge

Step-by-step explanation:

guy above is correct

The formula that is used for calculating a parametric equation when converting from rectangular to parametric is y=f(x)

What is a Parametric Equation?

This refers to the type of equation that is used to show an independent variable called a parameter, usually with the number 1.

Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.

Read more about parametric equations here:

https://brainly.com/question/51019

1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25

Answers

Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

Eighth grade T.12 Surface area of cylinders FGU What is the surface area of this cylinder? Use as 3.14 and round your answer to the nearest hundredth. 4 cm 6 cm square centimeters​

Answers

Answer:

nosbao

Step-by-step explanation:

What is (f+g)(x)? f(x)= – x2+7x g(x)=3x Write your answer as a polynomial or a rational function in simplest form.

Answers

Answer:

[tex](f+g)(x) = -x^2 + 10x[/tex]

Step-by-step explanation:

We are given these two following functions:

[tex]f(x) = -x^2 + 7x[/tex]

[tex]g(x) = 3x[/tex]

Sum of the functions:

To find the sum of the functions, we combine the like terms. So

[tex](f+g)(x) = f(x) + g(x) = -x^2 + 7x + 3x = -x^2 + (7+3)x = -x^2 + 10x[/tex]

[tex]-x^2 + 10x[/tex] is the answer

Please help me there is an image.
HELP HELP HELP HELP HELP​

Answers

Answer:

the 2nd answer: w=36/4

Step-by-step explanation:

"w" is the number of songs Noah has, and since his number is song is one-quarter(1/4) of Tyler's songs, you have to do 36 divided by 4 (aka 36/4). hope this helps :)

HELPPPPPPP!!!!!!!!!!!!!!​

Answers

Answer:

the top and bottom ones

Step-by-step explanation:

HEY CAN SOMEONE HELP ME WITH MY LASTEST MATH QUESTION I WILL GIVE BRAINLIST PLEASE :)))

Answers

Answer:

I would love to help!!

Step-by-step explanation:

IL GIVE BRAINLY IF YOU CAN HELP ME ON THESE 2

Answers

Answer:

THE answers to both questions are A

Step-by-step explanation:

Answer:

a for both

Step-by-step explanation:

just move point c on the graph where it tells u to. a translation only affects location

solve for x
2 3/4 x = 11 11/12

Answers

Answer:

If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722

Step-by-step explanation:

1) multiply all the numerator part

2) Cross multiply and solve for X.

Help me please lol nnb

Answers

Answer:

128

Step-by-step explanation:

Can someone please help me with this math question??

Answers

because the majority of the ppl who answered had 3 pets
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