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

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.

The student enrollment of South High School was 1350 in 1995 and increased by 15% per year until 2001. From 2001 until 2010 the enrollment increased by 7% each year. How many students were enrolled at South High School in 2010?
A. about 5,740 students
B. about 10,985 students
C. about 5,366 students
D. about 9,552 students

Camille buys a cake for $\$24.99$ . She also buys $12$ brownies. Each brownie costs the same amount. She spends $\$39.99$ on the cake and the brownies.

Camille finds the cost of each brownie by calculating $(39.99\ -\ 24.99)\ \div\ 12$ . Tanya finds the cost of each brownie by solving the equation $39.99\ +\ 12b\ =\ 24.99$ , where $b$ is the cost of each brownie.

Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither? Explain why.

Respond in the space provided.

(plz help with all steps)!!!!
What is the value of n that makes this equation true?
A. 21
B. 39
C. -24
D. 29

A bottle holds 255 milliliters of shampoo. How many liters will 32 bottles hold?

please help asap im confused

Please help i am actually not to good at math

multiple choice in picture

Jackie and Ron both have 12 centimeter cubes. Jackie builds a tower 6 cubes high and 2 cubes wide. Ron builds one 6 cubes long and 2 cubes wide. Jackie says her structure has the greater volume because it is taller. Ron says that the structures have the same volume.

Who is correct? Draw a picture to explain how you know. Use grid paper if you wish.

If you want to answer the question online you can use this website,
https://awwapp.com/home/?dis=%5B%5B%22no-init-modal%22%5D%2C%5B%22widget-login%22%2Cnull%5D%5D#
thanks!

11 ft
4 ft
X
Not drawn to scale
a. 5.5 ft
b. 11.2 ft
c. 5.2 ft
d. 11.7ft

please help me asap PLEASEEEEEEEE I CANT DO THIS

guys, please answer my other question asap please!

A typical basketball player scores on 70% of free throw attempts. During a basketball practice, Lebron james attempted 40 free throws and was successful on 75% of them. How many free throws did he get? ( Give me methods as to how you got it ) I will mark brainiest who ever explans the most!

I require math help TwT

IF ANSWERD CORRECTLY WILL GIVE BRAINLIEST DO NOT GIVE ME PDFS IF YOU DO I WiLL REPORT YOU
Tonya sampled 35 customers leaving the grocery store to find out how long they spend shopping. The results were that two people spent less than 15 minutes shopping, 28 people spent between 15 minutes and an hour shopping, and five people spent over an hour shopping.

Inference: Most customers spend less than an hour shopping.

Defend or challenge the inference with at least two complete sentences.

Select all true statements about this figure.
A. d + b = 180
B. Rotate angle ABE 180 degrees using center B. Then angle CBD is the image of angle EBA.
C. Rotate angle ABE clockwise by angle ABC using center B. Then angle CBD is the image of angle ABE.
D. Reflect angle ABE across the angle bisector of angle ABC. Then angle CBD is the image of angle ABE.
E. Reflect angle ABE across line CE. Then angle CBD is the image of the angle EBA.
F. c + b = d + c

Please answer the question below! Brainliest will be given :) or provide me with a picture of the answers. Thanks!

Jessica had 3 times as many postcards as Antonio. After Jessica gave 30 postcards to her friend and Antonio received 15 more postcards from his friend, Antonio had 3/4 as many postcards as Jessica. How many postcards did they have altogether in the beginning?
PLS HELP. WILL GIVE BRAINLIEST. SHOW YOUR WORK TOO, PLS.

The school bookstore ordered three-ring notebooks. They put 75% of the order in the warehouse and sold 0% of the rest in the first week of school. There are 25 notebooks left in the store to sell. How many three-ring notebooks did they originally order? Show and explain your answer.

Explain why the value of 0.6 is greater than the value of 0.39.

If you use a credit card, and you cannot pay your bill right away, you pay interest to the credit card company. Why?

If you spin the spinner 48 times, what is the best prediction possible for the number of times it will land on pink or green? times

WORTH 20 POINTS! GIVING BRAINLIEST

Instructions
In this experiment, you will be using two different coins as a simulation for a real-world compound event.

Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two different coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below.

Result Frequency
Heads, Heads
Heads, Tails
Tails, Heads
Tails, Tails
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?

Circumference (rounding)

Addy is buying gummy bears by the pound. For every 10 pounds of gummy bears she buys, she pays $13.00. How much does 1 pound cost?

I need help solving this please

Mr. Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.
Homework
Number of days
Total number of questions
4
20
8
40
11
55
16
?

After 14 days, how many total homework questions have been assigned?
60
80
95
115

Which of the following is a biased sample of the people who shop at a shoe store?
a) Select every tenth shopper.
b) Choose the 10 most frequent shoppers.
c) Put the name of every shopper into a box and pick 10 shoppers without looking.
d) Select one shopper who enters the store every half hour until 10 shoppers have been chosen.
Please dont waste my points. Also please no links please type it for me

Please help me this due at 150

please show your work I don't understand this one

PLS ANSWER ASAP NEED HELP!!!!!!