Flight Distances
Chicago O'Hare is a busy international airport. The map shows the flight distance from
Chicago O'Hare to several cities. Lee conjectured the flight distance from Chicago to
Istanbul is the same as the flight distance from Chicago to Sao Paulo when the distances
are rounded to the nearest thousand.
To Beijing
5,784 miles
5,784 miles
S
6,579 miles
Chicago, Illinois
Istanbul, Turkey
Beijing, China
5,252 miles
Sao Paulo, Brazil
4. Construct Arguments Describe at least one way you could
construct an argument justifying Lee's conjecture.​

Answers

Answer 1

Answer:

4. Given that the distance from one place to another are placed in ranges of a thousand, then the distances from Sao Paulo to Chicago Illinois which is 5,252 miles and from Chicago Illinois to Istanbul Turkey which is 5,784 miles will be in the same 5,000 kilometer distance range and both distances will taken as the same distance

The same situation can also be arrived at by rounding down both distances

Step-by-step explanation:

The given information are;

The flight distances given;

From Sao Paulo to Chicago Illinois = 5,252 miles

From Chicago Illinois to Istanbul Turkey = 5,784 miles

From Beijing China to Chicago Illinois = 6,579 miles

Lees conjectured the flight distance from Chicago to Istanbul is the same as the flight distance from Chicago Sao Paulo when the distances are rounded to the nearest thousand

Placing the distances in ranges of 1000, we have the 5,252 miles and the 5,784 miles will be in the same 5,000 to 5,999 miles range.


Related Questions

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Yeah.I would be glad to.

What do you need help with?

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

Answers

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

What is a graph?

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

Learn more about graph at:

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A=1/2bh for h

Need help

Answers

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

(Help please and thank you very much.)
If cat food is sold in 20 lb bags, what is the least number of bags of cat food needed for one year at this shelter, if 10 lbs of cat food is consumed per week?

Answers

Answer:

26 weeks!

Step-by-step explanation:

Hello there!

There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.

So in 1 year, the shelter will need 26 bags of 20 lb cat food!

Hope I helped!

If you enjoyed my answer, I'd appreciate a rating and a Thanks!

10x + 12 = [2+3(2x-4)+1]
Solve for x

Answers

Answer:

-21/4

Step-by-step explanation:

What is the quotient of 3/4 1/6?

Answers

Answer: 9/2

......................

1. The length of a
rectangle is three inches more than its width. It's area is 130 in^2. Find the width and length of the triangle.​

Answers

Answer:

Length= 13in

Width= 10 in

Step-by-step explanation:

Let x=length

Let y=width

x=3+y

xy=130in^2

(3+y)y=130in^2

3y+y^2=130in^2

y^2+3y-130=0

y=10

x=3+10

x=13

solve for w. need help pls

Answers

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Answer: W=-8
................

15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.

Answers

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

Write an equation for the line that passes through (10, 17) and (20, 37)

Answers

y=2x-3 is the equation for the line that goes through (10,17) and (20,37)

Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?

Answers

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

a clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Answers

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

Find the missing number 390x__=390,000
Answers
A 10^2
B 10^3
C 10^4
D 10^5

Answers

Answer:

B. 10 to the third power

The required missing number in 390 x __ = 390,000 is 10³. option B is correct.

The missing number in the calculation 390x__=390,000 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the missing number be x,
Now the given expression becomes,

390 * x =390,000
x = 390,000 / 390
x = 1000
x = 10³

Thus, the required missing number in 390x__=390,000 is 10³. option B is correct.

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Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

Answers

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

Some $1.50 per oz spice and some $2.50 per oz are mixed to produce 20 oz of a mixture worth 1.90 per oz. How many oz of each should be used

Answers

Answer:

3 ounces of the seed and 7 ounces of the dried fruit.

Step-by-step explanation:

Please help!!!

3(x – 10) = -9

Answers

Answer:

The answer is x = 7

Step-by-step explanation:

Divide each term by  3  and simplify. Move all terms not containing  x  to the right side of the equation.

Answer:

[tex]\huge\boxed{x=7}[/tex]

Step-by-step explanation:

In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.

Let's apply the distributive property on the left side:

[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]

Add 30 to both sides:

[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]

Divide both sides by 3:

[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]

So x = 7.

Hope this helped!

Buzz and Jessie are missing each other and their friend Woody. They want to meet at Woody's house which is halfway between their apartments. The distance from Buzz's apartment to Woody s house is (5x + 4) miles, while Jessie's apartment is (15x + 30) miles. How far apart do Jessie & Buzz live from each other?​

Answers

Answer:10x + 26

Step-by-step explanation:

*NOTE YOU WIN 37POINT FOR ANSWERING** Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate Han mixes 1 2/3 water with 1/4 a cup of orange juice concentrate which one tastes stronger?

Answers

Hans is going to taste stronger

Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?)

Answers

Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Which one is correct?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A
Tell me if I’m wrong

What is 2/5 of a book to 1/2 of an hour as a unit rate?

Answers

Answer: 4/5 book per hour

Step-by-step explanation:                                                                        in this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do  is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25

Answers

You can buy 4 feet and one half of ribbon candy.

slop intercept form of: y-5=2(x+2)

Answers

Answer: y= 2x+9

have a good day!

a polynomial function with leading term 8x ^9 has a degree of what?

Answers

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

What is a polynomial expression?

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

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Sue is offered a job reshelving books in the University of Montana library from noon until 1 p.M. Each Friday. Her reservation wage for this task is $10 per hour. If the library director offers Sue $100 per hour, how much economic surplus will she enjoy as a result of accepting the job? Now suppose the library director announces that the earnings from the job will be divided equally among the 400 students who live in Sue's dormitory. Will Sue still accept? Explain how your answers to parts a and b illustrate one of the incentive problems inherent in income redistribution programs.

Answers

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  [tex]\frac{100}{400}[/tex]

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

you have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​

Answers

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

The following table shows how far a runner has gone in t minutes. Which of the following equations represents this information?
A. t = 350d

B. t = 300d + 100

C. d = 350t

D. d = 300t + 100 Minutes (t) Meters (d)
2 700
3 1,050
5 1,750
10 3,500

Answers

Answer:

d = 350t

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

Can y’all help I don’t know how to do these

Answers

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:


Currently, there are 65 members in the school computer dub. The club is gaining 12 members per year. How long will take for the dub to have at least 113
membrs?

Answers

Answer:

4 years

Step-by-step explanation:

65+12x= 113

12x=113-65

x = 48/12=4

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Scientists long believed that the discovery of a mummy in the Alps, known as tzi the Iceman, provided information on how humans lived 5,300 years ago. More recently, scientists used DNA analysis to discover that tzi and modern-day humans have DNA markers in common. How did the study of tzi's DNA change the way scientists viewed the development of modern humans? Purpose is important because it reminds you why you're doing what you're doing when things get toughO TrueO False Find 5/6 of 15. Express your answer in the simplest form. When the New York Assembly refused to provide housing for British soldiersa) The British sent the troops to New Jerseyb) The British sent the troops back to Great Britainc) General Thomas Gage sent troops to attack the Governor's Mansiond) Parliament intended to shut down the New York Assembly until the needs of thesoldiers were met Which term describes the religious and political leader of the Mali Empire? Mecca mosque mansa musa // DebugFive1// Adds your lunch bill// Burger and hot dog are $2.59// Grilled cheese and fish are $1.99// Fries are 89 centsimport java.util.*;public class DebugFive1{public static void main(String args[]){Scanner input = new Scanner(System.in);final double HIGH_PRICE = 2.59;final double MED_PRICE = 1.99;final double LOW_PRICE = 0.89;String usersChoiceString;int usersChoice;double bill;System.out.println("Order please\n1 - Burger\n2 - Hotdog" +"\n3 - Grilled cheese\n4 - Fish sandwich");usersChoiceString = input.next();usersChoice == Integer.parseInt(usersChoiceString);if(usersChoice == 1 && usersChoice == 2)bill = bill + HIGH_PRICE;elsebill = bill + MED_PRICE;System.out.println("Fries with that?\n1 - Yes\n2 - No";usersChoiceString = input.next()usersChoice = Integer.parseInt(usersChoiceString);if (usersChoice = 1)bill = bill + LOW_PRICE;System.out.println("Bill is " + bill);}} identify and discuss 4 categories of human right Elena wants to buy a jacket that is originally priced at x dollars. The price of the jacket is discounted by 30%.The expression that represents itsdiscounted price is 0.7x. Which of the following expressions represents another way to show the discounted price of the jacket? All of the following contribute to a high risk of famine in Africa except __________.A.droughts are commonB.African nations are very poorC.most people farm at the subsistence levelD.other countries are not willing to sell food to African countries Nina saved money in her piggy bank to buy a music player she started by saving 30$ that she received for her birthday and then she saved 10$ from her allowance each month for 6 months. The table below shows the total amount of money Nina had save at the end of each month for 6 months . Adding fractions 1/5 + 2/22 Which type of figurative language is demonstrated below: "Whisper words of wisdom: let it be." Find the sum-13.6 + (-14.4) PLEASE HELP ASAP How many moles are there in 2.25 x 10^25 atoms of Zinc?How many atoms are there in 9500.0 mg of Fluorine? In which industry did women find increased opportunities for employment during the early 1800s?A. farmingB. business communicationsC. transportationD. textile manufacturing find the area of a rectangle with lenght ( x + 3 ) units and breadth ( x -2) units If mABC = 45 and mECD = 45, which statement explains whether the AA similarity postulate can be used to determine whether BAC ~ EDC?answers:Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB segment DE.Yes, the AA similarity postulate can be used because a reflection over line f will establish that ABC DEC.No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.No, the AA similarity postulate cannot be used because a reflection over line f will establish that ABC and DEC are not congruent. Interference is the ___________ of two or more waves. in one week katy walks 1,720 meters and runs 1,925 meters. she performs the same workouts for three weeks. how many meters does katy walk and run in three weeks of workouts? Please hurry its urgent Thank you The function f(x) is graphed on the coordinate plane What is f(-2)A)-4B)-2C)4D)0