Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?

Answers

Answer 1

Answer:

$27.5

Step-by-step explanation:

Let

x = pound over weight limit

Airline 1 = 20 + 10x

Airline 2 = 5 + 30x

Equate the fees

20 + 10x = 5 + 30x

20 - 5 = 30x - 10x

15 = 20x

x = 15/20

x = 0.75 pounds

How large was each airline's fee?

Airline 1 = 20 + 10x

= 20 + 10(0.75)

= 20 + 7.5

= $27.5

Airline 2 = 5 + 30x

= 5 + 30(0.75)

= 5 + 22.5

= $27.5


Related Questions

abdel purchased a candy bar for $1.47 and ice cream for $3.48. How much change did he receive if he paid a ten-dollar bill.

Answers

1.47+3.48=4.95
10-4.95=5.05
Answer:
$5.05 is the change Abdel will receive if paid by a ten dollar bill.


Candy bar price plus ice cream price = the total amount / $3.48 + $1.47 = $4.95
Ten dollar bill subtracted by the total amount = the change / $10 - $4.95 = $5.05

Decide if the following statement is valid or invalid.

If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .

True or False

Answers

Answer:

the answer is false

Step-by-step explanation:

just cause it is

3) Calculate the area of the entire triangle below. Show your work *

22
31
8

Answers

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

describe and correct the error

-1/4 ÷ 3/2 = - 4/1 × 3/2 = -12/2 = -6

Answers

Answer:

-1/6

Step-by-step explanation:

(-1/4)/(3/2)=(-1/4)(2/3)=-2/12=-1/6

4y + 4 = 2y - 10
can somebody break this down to solve it ? please

Answers

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

3. Triangle RST has angle measures as shown. S 5(x+3) 25° 62 R (a) What is the value of x? Show your work. (b) What is the measure of angle S? Show your work. ​

Answers

Answer:

X=2

Step-by-step explanation:

27-[18+(16÷(2×3-4))]​

Answers

Answer:

1

Step-by-step explanation:

27 - {18 + (16 ÷ (2 x 3 - 4))}

27 - {18 + (16 ÷ (6 - 4))}

27 - {18 + (16 ÷ 2)}

27 - {18 + 8}

27 - 26 = 1

How do I solve 2/3x-1=-3

Answers

first of all you’d add 1 to both sides hence the -1, to get 2/3x=-2. then multiply both sides by the reciprocal of 2/3 which is 3/2. the left cancels out to get x and the right multiplies to get -3. so your answer is x=-3

Solve this please with steps b^4-3b^3-10b^2

Answers

Answer:

Step-by-step explanation:

There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.

[tex]b^4-3b^3-10b^2[/tex]

First, factor out a b^2

[tex]b^2(b^2-3b-10)[/tex]

Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2

[tex]b^2((b-5)(b+2))[/tex]

tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.

Han calculado que cada uno tendra que pagar en total 600 pesos por el alquiler del coche.

Antes de reservar se apuntan dos amigos mas
cuanto tendrian que pagar cada hora?​

Answers

Answer:

operaciones : 600×3= 1800÷5=360.

Step-by-step explanation:

y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360

8 x = 56 x =____ help

Answers

x=7 I think I’m not sureeee

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

Kyle has 105 baseball cards and must give 2/5 of his cards away.
1.How many cards will Kyle give away?
2. What fraction of his cards does he have left?

Answers

1. 42 cards
2. 3/5 of his cards

June was thinking of a number. June subtracts 5.6 from the number and gets an answer of 76.9. Form an equation with x from the information.

Answers

Answer: x - 5.6 = 76.9

Step-by-step explanation:

The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.

Assume that number is x.

If you subtract 5.6 from x, you would get 76.9.

Equation is therefore:

x - 5.6 = 76.9

Solving for x would make x:

x - 5.6 = 76.9

x = 76.9 + 5.6

x = 82.5

Solve the simulateous equation 3x-4y=18 , 9x+2y=12

Answers

X=2 Y=-3
Hdhchjxhgxhdjxh

What is 5 radical 3 times 2

Answers

Answer:

16

Step-by-step explanation:

5 radical 3 times 2 is 16

WILL MARK BRAINLIEST
A green number cube and a red number cube are rolled. An outcome is the pair of numbers rolled on the two different cubes. Which of the following are true? Select all that apply.

Each result is equally likely.
The sample space has 36 different outcomes.
The sample space has 11 different outcomes.
A total roll of 7 is very likely.

Answers

Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Explanation:

A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36

Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Step-by-step explanation:

Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.

(b) All the points that lie on a straight line.

(c) All the honest members in the family.

(d) All the consonants of the English alphabet.

(e) All the tall boys of the school.

(f) All the efficient doctors of the hospital.

(g) All the hardworking teachers in a school.

(h) All the prime numbers less than 100.

(i) All the letters in the word GEOMETRY.

Answers

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

solve the right triangle (45-45-90)

Answers

Answer:

[tex]HI=HJ=\sqrt{30}[/tex]units

[tex]\angle I=45^{\circ}[/tex]

Step-by-step explanation:

We are given that

[tex]\angle J=45^{\circ}[/tex]

[tex]JI=2\sqrt{15}[/tex]units

We know that

[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]

[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]

Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]

[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]

By using rationalization

[tex]HI=\sqrt{30}[/tex] units

[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]

Using the formula

[tex]cos\theta=\frac{base}{hypotenuse}[/tex]

[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]

[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]

[tex]HJ=\sqrt{30}[/tex] units

When two sides are equal then angle made by two equal sides are equal

Therefore,

[tex]\angle J=\angle I=45^{\circ}[/tex]

find the are of the triangle​

Answers

Answer:

5 units^2

Step-by-step explanation:

Area of a triangle =

[tex] \frac{bh}{2} [/tex]

plugging in:

[tex] \frac{5 \times 2}{2} [/tex]

[tex] \frac{10}{2} [/tex]

[tex]5[/tex]

Answer:

A=1/2(b)(h)

H= 2 units

b= 5

A= 10×1/2 = 5 units^2

egan's flower bed has a length of 6 feet and a width of six eighths feet. Which of the following is true?

Question 13 options:

The area of the flower bed is equal to 8 square feet.


The area of the flower bed is larger than 8 square feet.


The area of the flower bed is equal to 6 square feet.


The area of the flower bed is smaller than 6 square feet.

Answers

Answer is D, the area of the flower bed is smaller than 6 feet.

6 times 6/8 will be 36/8, which is also 4 4/8. That’s smaller than 6 feet, so your answer is D

X=y-8 and -x-y=0 solve by substitution

Answers

Answer:

y=4

Step-by-step explanation:

x=y-8

-x-y=0

-(y-8)-y=0

Distribute the negative

-y+8-y=0

Combine the like terms

-2y+8=0

-8 (to both sides)

-2y=-8

Divide by -2

y=4

Mary was sitting on the ground flying a kite. She had 14 yards of line let out to fly her kite, and the kite was 13 feett in front of her. How high up was the kite? Round answer to the nearest ten-thousandths.​

Answers

answer 10,000 Because if you round thirteen to the nearest ten thousand it's ten thousand

Explanation

because 10,000 is the first 10,000 you can ever get to

A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c

Answers

The smallest possible value of a+b+c is 77

Hi can anyone solve this for me please solve it on a piece of paper please

Answers

Answer:

Awsten Knight

Step-by-step explanation:

hwlp me with this one plzzzzzzzzzzzz

Answers

Answer:

x=1

Step-by-step explanation:

I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work

Divide both sides by 17
x > -1

What is 3 times 1/3 and subtract 5

Answers

3* ( 1/3 -5)= -14 hope this helps

Answer: -4

Step-by-step explanation:

Rephrase the given expression

3 times 1/3 and subtract 5

3×1/3-5

Do multiplication first, then subtraction

 3×1/3-5

=3/3-5

=1-5

=-4

Hope this helps!! :)

Please let me know if you have any questions

A polling firm wants to use a one-sample z interval to estimate what proportion of voters in a country plan on
voting for a certain candidate. They want the margin of error to be no more than £3% at 99% confidence.
What is the smallest sample size required to obtain the desired margin of error?

Answers

Answer:

1844

Step-by-step explanation:

For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

What is margin of error?

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, z is the critical value and n is the sample size.

Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.

The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.

The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.

Put the value in the above formula as,

[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]

Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

Learn more about the margin of error here;

https://brainly.com/question/10218601

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

Step-by-step explanation:

x=180-59-41

x=80

Answer: 80°

Step-by-step explanation:

The sum of all angles in a triangle is always 180°

so 59° + 41° + x ° = 180°

or x = 180 - 41 - 59 = 80

Please help me out with this problem

Answers

Answer:

KR

Step-by-step explanation:

First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.

What is the equation of the line that passes through the point
(
7
,
2
)
(7,2) and has a slope of
1
1?

Answers

Answer:

(y+2)= -3(x-7)

Step-by-step explanation:

We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:  

y = m x + b

 Where  m  is the slope and  b  is the y-intercept value.

We can substitute the slope into the formula giving:

y = − 3 x + b

Next, we can substitute the values from the points in the problem for  x  and  y  and solve for  b :

− 2 = ( − 3x 7 ) + b  

− 2 =  − 21 + b

21 − 2 = 21  − 21 + b

 19 = 0 + b

19 = b

We can now substitute the slope from the problem and the value for  b  we calculated into the formula to write the equation.

y = − 3 x + 19

Another process is to use the point-slope formula. The point-slope formula states:

 ( y − y 1 ) = m ( x − x 1 )

 Where  m  is the slope and  ( x 1 , y1 )  is a point the line passes through.

Substituting the slope and values from the points in the problem gives:

(y − − 2 ) = − 3 (x-7)

( y + 2 ) =  − 3 ( x − 7 )

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