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

what is the answer to 1 3 x + 5 x = -6

Answers

Answer:      

x2-6=5x

Step-by-step explanation:

Answer:

x = -1/3

Step-by-step explanation:

13x + 5x = -6

=> 18x = -6

=> x = -6/18

=> x = -1/3

Hope it helps :)

please mark my answer as the brainliest

Arkadaşlar yardım edin EN İYİ SEÇERİM​

Answers

Answer:

seviye 2

a=3 b=3

c=5 d= -1

seviye 3

a x=5 b x=15

c x=15 d x=9

What is the equation of the line graphed below ?

Answers

The answer is A. y = -2/5

How many solutions does the equation have? -10(x - 1) = 10 - 10x *

O Zero Solutions
O 1 Solution
O Infinite Solutions​

Answers

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

Let f(x) = -x + 3
Find f(2)

f(3)=

Answers

Answer:

1

Step-by-step explanation:

f(2) = -2+3

=1

Round to the nearest thousand. 6,159​

Answers

Answer:

6,000

Step-by-step explanation:

To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units.  You round up when the next largest digit, in this case, the hundreds, is 5 or larger.  Meanwhile, you round down when it is 4 or smaller.  Here it is 1, so you round down to 6,000.  If it was 5 or larger, you would round up to 7,000.

6,000

To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.

Hope it helps! Good luck!! :D

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
13 (pi)
5 (pi)
6.5 (pi)

Answers

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

NEEEED HELP!!!!!!!!!

Answers

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Please pleaseeee help!
Im so lost this is the last question i have and I’ve been working on it forever. Even asked my mom and she had no idea! Helpp please!!

Answers

Answer:

Remember that the roots are the values of the variable when the expression equals 0.

a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4

b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4

c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4

d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7

factorise x^12 y^4 - x^4 y^12

PLEASE PLEASE explain in step by step Pleasseeeeee​

Answers

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates? ​

Answers

Answer:

80

Step-by-step explanation:

So I here's my thought process on this:

200 divided by 2 is 100

100 - 40% is 60, leaving 40 behind.

So double that and it would be:

200 - 40% is 120

200 - 120 = 80

80% is the answer.

The value of w and what mistake was made

Answers

Answer:

w=95

Step-by-step explanation:

Solve the system 2x + 3y = 6 2x - 5y = 22

Answers

Answer:

In point form (6,-2) and Equation form: x = 6, y= -2

Step-by-step explanation:

Graph
How to put -31/2 , 21/2 on a graph

Answers

3/1 and put on graph

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?

Answers

Answer: 7/5

Step-by-step explanation:

Please help solve the problem below.

Answers

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

please help me on this will give you brainliest!!

Answers

36!!
18/2= 9
45/5= 9
9 x 4 = 36

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

y+2 y+2 y+2 y+2 y+2
^
30

Answers

Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

....…....…....…

HELP A KID IN NEED
IM JUST A CHILD TRYING NOT TO FAIL MATH

Simplify the expression. 3z+14+5z-9

IM GIVING ALOT OF POINTS PLEASE HELP ME

please


lol sorry I'm kind of desperate

HELPPPP

Answers

Answer:

8z+5

Step-by-step explanation:

Let's split the expression into two terms- z and... not z :)

3z+5z=8z

Why? it's just 3+5 with z tacked on the end

14-9=5

simple math :)

put it together to get

8z+5

all done!

lmk if you have any more questions

A hybrid SUV can travel 400 miles on a 15-gallon tank of gas. How many miles can it travel on 6 gallons of gas?

Answers

Answer:

160miles

Step-by-step explanation:

400miles uses15g what about 6g.

Using cross multiplication. Multiply 6x400/15 = 160miles

Answer:

160 miles

Step-by-step explanation:

If it travels 400 miles on 15 gallons, then it will travel x miles on 6 gallons

400 miles -> 15 gallons

x miles -> 6 gallons

15 * x = 6 * 400

15x = 2400

x = 2400 / 15

x = 160 miles

i need help on this
i will give Brainliyest if u answer this Corretly (lie = report)

Answers

Answer:B

Step-by-step explanation:

i need help with this geometry assignment please.

Answers

Answer:

172.8 is the area of the parallelogram

Please help me, Please real answers only thanks

Answers

Answer:

A.

Step-by-step explanation:

substitution of coordinates

Asap, need help. Thanks if your going to help me! Please explain the steps!​

Answers

Answers:

Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars

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

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

-------------------------

To summarize:

Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

-------------------------

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

Additional comment

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

What is the radius and diameter of the following circle?

Answers

Answer:

radius is 11cm diameter is 22cm

Step-by-step explanation:

Answer:

Radius: 11

Diameter: 22

Step-by-step explanation:

The radius is the 11 being shown, the diameter is 2 times the radius.

Hope this helps!

What is the length of segment AB?

Answers

Answer:

Option 1

Step-by-step explanation:

Use Pythagorean theorem,

AB² = base² + altitude²

      = 7² + 6²

     = 49 + 36

     = 85

AB =√85

Answer:

option a.

6²+7²=ab²(by Pythagoras theorem)

36+49=ab²

85=ab²

square root 85=ab

Find the solution
4y-x=5+2y
3x+7y=24

Answers

Answer:

24

Step-by-step explanation:

Write an equation in slope-intercept form that represents the situation:

Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.

Answers

Answer:

         y = 3.5x + 15

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

Which expression is equivalent to 6(-7k - 2) + 6k?
-12k - 36
-K - 12
-36k - 2
-36k - 12

Answers

Answer:

-36k - 12 that is the answer

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