The perimeter of an airplane ticket is 30 centimeters. The area is 50 square centimeters. What are the dimensions of the ticket?

Answers

Answer 1

Answer:

The length can be 5 and the width 10.

Step-by-step explanation:

perimeter is equal to 2L + 2W

area is equal to L * W

you get 2 equations:

30 = 2L + 2W

50 = L*W

we'll solve by substitution.

you can use either equation to solve for either variable.

we'll use the second equation to solve for L.

second equation is:

50 = L*W

divide both sides of this equation by W to get:

L = 50/W

we now have a value of L that we can substitute in the first equation which we can then use to solve for W.

the first equation is:

30 = 2L + 2W

replace L with 50/W to get:

30 = 2*(50/W) + 2W

simplify to get:

30 = 100/W + 2W

multiply both sides of this equation by W to get:

30W = 100 + 2W^2

subtract 30W from both sides of this equation to get:

2W^2 - 30W + 100 = 0

factor this equation to get:

(2W - 20) * (W - 5) = 0

solve for W to get:

W = 10 or W = 5

if W = 10, then use the equation of 50 = L*W to get L = 5

if W = 5, then use the equation of 50 = L*W to get L = 10

you have 2 possible solutions.

L = 5 and W = 10 or:

L = 10 and W = 5

both are plausible so we'll test them both out.

when L = 5 and W = 10:

the first equation becomes 2*5 + 2*10 = 10 + 20 = 30

the second equation becomes 5*10 = 50

both equations confirm that the solution of L = 5 and W = 10 is good.

when L = 10 andW = 5:

the first equation becomes 2*10 + 2*5 = 20 + 10 = 30

the second equation becomes 10*5 = 5

both equations confirm that the solution of L = 10 and W = 5 is good.

the ticket can have either:

a length of 5 and a width of 10 or:

a length of 10 and a width of 5.

since the length is usually longer than the width, you are free to choose that the ticket most likely has a length of 10 and a width of 5.

alternatively, you can simply say that the dimensions are 5 by 10 and let the recipient of that information determine which is the length and which is the width.

mathematically, the length can be 10 and the width 5 or the length can be 5 and the width 10.


Related Questions

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Answers

Answer:

Step-by-step explanation:

What is the smallest value of the number?

minimum

The minimum is the smallest value in the data set. The maximum is the largest value in the data set

The product of a number and negative seven is at most negative eighty-four?

8(-4x). X is the number?

Answer:

x(-7)=-84

Step-by-step explanation:

x times -7

12×(-7)

=-84

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Answers

Answer:5x+8

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 12+4x.

Draw a diagram that shows the two expressions are equivalent.



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Answers

Answer:

12 + 4x=  (6 x 2) + (2x x 2)

Step-by-step explanation:

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Amanda completes 18 assignments in 3 days. At that rate, how many assignments would she complete in 7 days?

Answers

Answer: 42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

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6 out of 18 kids said hello to Mr. Koller this morning. What percent of kids said hello to Mr. Koller?

Answers

33.3333% :) hope this helps

Answer:

Step-by-step explanation:

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On Tuesday, Chris swam 6 laps in 5 1\10 minutes. On Wednesday, he swam the same distance in 4 7\10 minutes. How much faster did he swim on Wednesday?

and please show the answer. 10 extra points for work showed :)

Answers

Answer:

1  6/10 minute

Step-by-step explanation:

Simple subtraction, 5-4=1, 7-1=6, so therefore, Chris swam faster by 1 6/10 minutes.

Answer:

1  6/10 minute

Step-by-step explanation:

i dunno lol

screenshot down below

Answers

Answer:

82

Step-by-step explanation:

Vertical rectangle:

A = bh

A = (5)(10)

A = 50

Horizontal rectangle:

h = 10 - (3 + 3)

h = 4

A = bh

A = (8)(4)

A = 32

Combined:

50 + 32

82

Answer:

[tex]A=82 meters^2[/tex]

Step-by-step explanation:

First we will split the shape into two rectangles.

Now that it is in two separate peaces, solve each one individually

Remember   [tex]A = l*w[/tex]

[tex]10*5=50[/tex]

[tex]8*4=32[/tex]

Finally add the two areas together

[tex]50+32=82[/tex]

The base of a triangle is 9 units more than h, its height. Write an algebraic expression that represents its area in terms of h

Answers

Answer:

Step-by-step explanation:

cn n .mxn

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Answers

Answer:y=(x)

Step-by-step explanation:

Y=(x)

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Answers

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Answer:

2. Negative because if we multiply [tex] - \frac{3}{4} [/tex] by itself 13 times the answer resulting will be negative as if a negative number is multiplied to an other negative number odd number of times it will result in a negative number.

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Answers

Answer:

First one

Step-by-step explanation:

Take Square root of 64/9 which is 8/3.

8/3 is greater than 7/3

Hence,

Square root 64/9 > 7/3

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don’t press those links!!!

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Answer:

A, B, and D

Step-by-step explanation:

Reason it is A, B, and D is because 10-6 = 4 6÷2 is three and 8×6 is 48

Answer:

your answers are A, B, D

Step-by-step explanation:

[tex]4=10-n\\4-10=10-n-10\\-6=-n\\-6/-1=-n/-1\\6=n\\\\3=\frac{n}{2}\\3*2= \frac{n}{2}*2\\6=n\\\\12=n+7\\12-7=n+7-7\\5=n\\\\8n=48\\8n/8=48/8\\n=6\\\\5+n=8\\5+n-5=8-5\\n=3[/tex]

Plz answer ASAP Giving brainliest!

Answers

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Step-by-step explanation:

When plugged into desmos, g(x) = 1/4(2^x) - 4

g(x) = f(x-2) is the only equation that lines up with this equation I stated above.

Note: if you try to do this yourself on desmos graphing calculator, make sure to add f(x) first (f(x) is: f(x) = 2^x - 4).

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Answers

Answer:

D. 19 houses

Step-by-step explanation:

[tex]\frac{1}{8} +\frac{2}{5} =\frac{21}{40}[/tex]

[tex]1 - \frac{21}{40}=\frac{19}{40}[/tex]

Answer:

D.) 19 houses

Step-by-step explanation:

comany x: 1/8

Company y: 2/5

You need to find the common denominator(in this case is to 40)

1 x 5 = 5            2 x 8 = 16

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

8 x 5 = 40         5 x 8 = 40

5/40 + 16/40 = 21/40

40 - 21 = 19

SO answer is 19

Someone help me pls. Theoretical Probability of compound events.

Answers

Answer:

Step-by-step explanation:

this type of probability is very confusing to most people.  You are in good company. :)

1 ( cheese )  ( salsa) ( veggie )

2 (Burrito) (taco) (wrap)

3

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best of luck Destinee

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Answers

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Answers

Answer:

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Step-by-step explanation:

the maximum load of elevator is 480 pounds. Assuming that the average mass of student is 45 pounds, and m represents the number of students in the elevator, how many students can take the elevator at the same time

Answers

we can use the equation 45m < 481

we can replace m to see where it caps.

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we can replace m to check our work

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if you add another student, it would go over the limit.

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about 10 students can get on a elevator at once

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Answers

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Answers

Answer:

because they want to earn money

Step-by-step explanation:

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help me as fast as possible

Answers

Answer:

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Step-by-step explanation:

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and

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Answers

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Donu but i will whatch videos and tell you

Step-by-step explanation:

Hey! After reviewing the pictures, it’s quite obvious which is the reflection and which is the translation. The reflection is always the one that reflects at the opposite side of the original picture. The first one is the top left one. The translation, aka the second one is the bottom left. The bottom right is a reflection of the top left, and the top right is a reflection of the bottom left

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

its 37 lol

Step-by-step explanation:

37 degrees is the correct answer

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In the second experiment she replaces the first marble.

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A: Yvette's independent probability is greater than her dependent probability.
B: Yvette's dependent probability is greater than her independent probability.
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Answers

Answer:

A

Step-by-step explanation:

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Answers

Answer:

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Ella wants to make a fruit salad for herself and 5 friends.

She has 5 cups of grapes, 3 pints of strawberries, and 1 quart of watermelon pieces.

1. How many cups of fruit salad does Ella have?

2. If she wants to share the fruit salad between herself and 5 friends, how much fruit salad will each person get?
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Answers

1. I believe she would have 15 cups of fruit salad because it’s 5 cups of grapes, 6 cups strawberries(1 pint = 2 cups which means 6 cups of strawberries) and 4 cups of watermelon (1 pint = 4 cups
2. Since there are 15 cups of fruit salad you would need to divide 15 by the number of friends which would make it 2.5 cups of fruit salad per person
1.) 15 cups
2.) 3 cups per person
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