Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.

Answers

Answer 1

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

Answer 2

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Reasons:

The tables are;

Andrew

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]

Karleigh

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]

The duration each on the treadmills is 1 hour = 60 minutes

[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]

Therefore;

[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]

[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]

Therefore;

Karleigh ran a greater distance

The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Learn more about formula for speed here

https://brainly.com/question/24455685


Related Questions

Evaluate the expression when x=3 , y=−4 , and z=−6.
z−2x/y

Answers

Answer:

9/2

distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.

The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.

For hours ______ of service, both babysitting services would cost the same.

Answers

5 hours of service (for one child each)

15x + 25 = 20x
Subtract 15x from both sides:
25 = 5x
Divide both sides by 5 to isolate x:
x = 5

Answer:

i think its 7500

Step-by-step explanation:

What si the meaning of 3:4

Answers

Answer:

its either a ratio or a 2017 film

Step-by-step explanation:

for every 3 pieces of candy you eat, you lose 4 teeth

explain how xy and xy are diffrent

Answers

Answer:

x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph

Step-by-step explanation:

Answer:

xy and xy is the same, equal and congruent.

Step-by-step explanation:

By the way you write it, it looks the same.

need help with this ​

Answers

Answer:

[tex]-5x^2-26[/tex]

Step-by-step explanation:

[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]

Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3 to 4.
How many red candies are in Rachel's bag?

Answers

Answer:

96 red

Step-by-step explanation:

96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96

PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

Answers

Answer:

4, 3, -2 are the 3 roots of the function

Answer:

-2, 3 & 4

Step-by-step explanation:

The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x

3

−5x

2

−2x+24 can be only among the divisors of free term.

The divisors of free term are:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.

Check them:

1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1

3

−5⋅1

2

−2⋅1+24=18

=0 , 1 is not a root.

2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)

3

−5⋅(−1)

2

−2⋅(−1)+24=20

=0 , -1 is not a root.

3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2

3

−5⋅2

2

−2⋅2+24=8

=0 , 2 is not a root.

4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)

3

−5⋅(−2)

2

−2⋅(−2)+24=0 , -2 is a root.

5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3

3

−5⋅3

2

−2⋅3+24=0 , 3 is a root.

6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)

3

−5⋅(−3)

2

−2⋅(−3)+24=−42

=0 , -3 is not a root.

7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4

3

−5⋅4

2

−2⋅4+24=0 , 4 is a root.

The cubic function has at most 3 roots, then

Answer: roots of the function are -2, 3 and 4.

Six times a number is forty two.
Write the equation?

Answers

Answer:

6*n=42

Step-by-step explanation:

n=7 if you need that info

Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59​

Answers

Answer:

[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]

General Formulas and Concepts:
Pre-Algebra

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle -p(d + z) = -2z + 59[/tex]

Step 2: Solve for z

[Distributive Property] Distribute -p:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -2z to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\& \rightarrow -pd -pz + 2z = 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -pd to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\\end{aligned}[/tex]Factor:

[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\\end{aligned}[/tex][Division Property of Equality] Divide -p + 2 on both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\& \rightarrow z = \boxed{ \frac{59 + pd}{2 - p} } \\\end{aligned}[/tex]

∴ we have solved the given equation for z.

___

Learn more about Algebra I: https://brainly.com/question/16452009

___

Topic: Algebra I

What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.

Answers

↓Answer:

Step-by-step explanation:

It will be 504

Answer:

THE ANSWER IS B

Step-by-step explanation:

Someone help I really need it.

Answers

Answer:

c

Step-by-step explanation:

C

12 = x

12 times 12 = 144

Can someone help me??

Answers

Answer:

the answer is 100% d I'm sure

Answer:

$1.17

Step-by-step explanation:

change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)

            = 20 - (11.97 + 2.99 + 3.09 + 0.78)

            = 20 - 18.83

            = 1.17

Simplify (2a+5)6a^2
Can someone help please

Answers

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

HEY CAN ANYONE ANSWER DIS PLS!

Answers

1.2 times 15 = 18 so your answer will be A

What is the answer to 5 (y-10) = -5

Answers

Answer:

5(y-10)=-5

5y-50=-5

5y=45

y=9

Step-by-step explanation:

distribute

add 50 to the other side and undo it from its original side

get the variable by itself by dividing 5 on both sides

then you have your answer

I hope this helps!

Answer:

9

Step-by-step explanation:

5(y-10)=5

divide both sides by 5

50-5=45

45 divided by 5 is 9

HELP DO ALL IF U CAN SORRY MY CAP ARE ON

Answers

0.07 = 0.07

0.07 > 0.06 (or any number greater than 0.07)

0.07 < 0.08 (or any number less than 0.07)

Answer:

1) 0.07 can only equal 0.07

2) > means greater than, so the answer would be anything greater than 0.07.

3) < means less than, so the answer would be anything less than 0.07.

I hope this helped you out...have an amazing day!! C:

Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12

Answers

Answer:

Its B :D

Step-by-step explanation:

4. Write any number to make the statement is
true?


Answers

Answer:

124<369

Step-by-step explanation:

Help pls help NOW! 35 points.

Answers

u probs don’t need this but take it as confirmation i guess:
it’s true

The distance from Phoenix to Tucson is 120 miles. The distance from Phoenix to Flagstaff is about 21.7% longer. To the nearest mile, what is the distance from Phoenix to flagstaff?

Answers

Answer:

146.04

Step-by-step explanation:

120×21.7%= 26.04

21.7% of 120 miles

120+26.04= 146.04

Evaluate the expression a=3, b=2, and c=12

Answers

Answer:

jejejwjjwjejeejekeekekeknenenenne

Answer:

Step-by-step explanation:

Sorry but please give detailed question

what are the 3 most important things you learned about evaluating functions​

Answers

Replace, substitute, plug in given values

Functions explain circumstances in which particular quantity and quality would be different. The important things about evaluating functions are below.

The evaluation collected data or information help to design curricula, assess the efficiency of innovative approaches, and highlight the regions of the requirement for change.Evaluation data is becoming increasingly valuable for guiding and advice.This same evaluation would be important just to measure the effectiveness of an existing program.

Learn more about evaluating functions​ here:

https://brainly.com/question/1291990

Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15
PLS ANSWER THIS PLSSSSSSSS.

Answers

Answer:

[tex]y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

Explaining How to S
ve an ea
What should you do to solve the equation?
45 = x + 38
O Subtract 38 from both sides.
O Add 38 to both sides.
O Subtract 45 from both sides.
O Add 45 to both sides.

Answers

You subtract 38 from both sides

Answer:

Subtract 38 from both sides.

Step-by-step explanation:

THAT DA ANSWER

A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?

Answers

Answer:

its is 38.6

Step-by-step explanation:

IK and LN are parallel lines. Which angles are vertical angles?

Answers

Answer:

OM and JH

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are opposite angles when two lines intersects

 ∠OMN & ∠LMJ are opposite angles

∠OML and ∠NMJ are opposite angles

∠MJK and ∠IJH are opposite angles

∠MJI and KJH are opposite angles

Can someone please help me with this?

Answers

An acute angle would be the correct answer. Explanation: the smaller angles below 90 degrees are acute. Hope this helps have a nice day

Answer:

Acute angle

Step-by-step explanation:

This would be an Acute since it's less the 90 degrees

It wouldn't be complementary since both angles don't add up to ninety

Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?

Answers

i tried to do it step by step as fast as i could, i hope this gives u the eighth answer if not i’m sorry!

Solve the equation: 3(x−3) + 2x= −49

A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3

Answers

X = - 8 should be the answer

After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.

Answers

The correct answer is 13.

(I only replied so you can give the other person the brainliest)
Other Questions
How will people remember Chernobyl in other words what is his legacy? (just basic coding I can't wrap my around :L) Which of the following shows the assignment of a string to a variable? Select 3 options.answer = input("How old are you? ")answer = "23"answer = (23)answer = '23'answer = 23(ps, the coding platform used is python) A bag with 2 ounces of peanuts can make of a jar of peanut butter. How many ounces of peanuts will it take for there to be one jar of peanut butter? The legs of a right triangle are 10 cm and 24 cm long what is the length of the hypotenuse 2.Brian is heading out for a steady early morning jog as one of his training runs for a marathon. He plans to jog18 miles. He covered the first 4 miles in 39 minutes. Keeping the same steady pace, which of the followingis closest to the time that it will take Brian to finish his jog from the 4-mile point?(1) 2.3 hours(3) 2.9 hours(2) 2.5 hours(4) 3.3 hours Words used by an individual or a culture for self-expression or communication are commonly referred to as:a.affixesc.vocabularyb.denotationd.connotation James decides to invest money in Wal-Mart. As a shareholder, he has the advantage of(select all that apply)A. limited liabilityB. limited lifeC. unlimited liabilityD. double taxationE. ease of start up How can you use Recipes B and D to create recipe E?Fill in the blank.1.) ____ the corresponding quantities of Recipe B 2.)____ Recipe D to create Recipe E.Options for 1.)- Add- Subtract- Multiply- DivideOptions for 2.)- and- from- times- by What is the volume of the toy car that has a density of 3 g/mL and a mass of 75 g. plzAs a reader, you need to be aware that authors make word choices. As an author, you are responsible for choosing your words carefully. Why is word choice so important? Note the following list of words. Each one means a shade of the color red.red:scarlet blood rust maroon flame cherry ruddyNARRATOR: Look at the word red. Its a good word for illustrating the importance of word choices. You could use the word red in a sentence, but you could also use other words that mean the color red. Such words could be found in a thesaurus, which is similar to a dictionary but contains synonyms of words. There you might find words like: scarlet, blood, rust, maroon, flame, cherry, and ruddy.The moon was blood red. The moon was rust colored. The moon was a great cherry in the sky.All three sentences mean the same thing, but they each have a different connotation, which means emotional impact, feeling, or mood. A moon described as blood red has a creepy kind of feeling. A rust colored moon could mean that the year is aging like a rusting piece of metal. A cherry moon is a happy moon, making the reader think of warm summer evenings.There are even more words out there that mean the color red. Such words can be found in a reference book called a thesaurus. A thesaurus is similar to a dictionary except that instead of definitions, it contains synonyms of words. A thesaurus is a great way to add sparkle to your writing.Why are so many different words necessary? To find out, read the following sentences:1 The moon was blood red.2 The moon was rust colored.3 The moon was a great cherry in the sky.All three sentences mean the same thing, but they each have a different connotation. Connotation just means emotional impact, feeling, or mood. A moon described as blood red has a creepy kind of feelingthe feeling that something has or is just about to go very wrong. A rust colored moon indicates more of a fall feeling, and could mean that the year is getting old like a piece of metal left out to rust in the rain. A cherry moon is a happy moon; it makes the reader think of summer time and warm evenings. Are you starting to understand the power of choosing just the right word to describe the moon?Look back at the beginning of Poes The Cask of Amontillado. Poe starts the story with the sentence, The thousand injuries of Fortunato I had borne as I best could; but when he ventured upon insult, I vowed revenge.Why do you think Poe wrote that? Why didnt he just write, Fortunato insulted me, so I decided to get even? Think about the connotations of the words injuries, insult, and revenge. These words were chose to create a particular feeling at the beginning of this dark story. Answer the following questions.1)Word Choice Exercise 1Write ONE word or phrase that Poe uses to create the mood of "The Cask of Amontillado." Then explain the effect the word has on the audience. Is 2x+y=4 linear? If it is what is the slope and y intercept? To rent a Bird scooter you must pay $1 to start and then $0.50 for every 15 minutes you ride. Is the cost proportional to the amount of time you ride? Select two sentences from Passage 2 that support why President Franklin D. Roosevelt believes the only thing we have to fear is fear itself....we face our common difficulties. They concern, thank God, only material things. (paragraph 11)"Only a foolish optimist can deny the dark realities of the moment." (paragraph 11)Compared with the perils which our forefathers conquered, because they believed and were not afraid, we have still much to be thankful for. (paragraph 12)Nature still offers her bounty and human efforts have multiplied it. (paragraph 12)Plenty is at our doorstep, but a generous use of it languishes in the very sight of the supply. (paragraph 12) Which of the following is a motor vehicle according to Florida law? A. A bicycle B. A motorized bicycle C. A motorized wheelchair D. A school bus Which are ways of showing probability? Select 4 options.50%5571 10425%7/8 Theres five option choose four The Event Viewer (Microsoft Windows) or Console (Apple Mac OS X) is used for what purpose? to view and manage events scheduled in one or more user calendars to configure system security features such as firewalls and antivirus scannersto view incidents recorded in the Application, Security , and System logs to manage user names and passwords on a network Tisha orders a carpet for a room that measures 270 square feet. The salesman says the carpet costs $12.00 per square yard. He explains that since there are 3 square feet for every square yard, tisha needs 90 square yards of carpeting, which cost $1,080. What error did the salesman make? What should be the actual cost of the carpet? 3. Three meals per day are provided by the hotel. The hotel will charge a total of $9,240 for all meals for the entire group. What is the cost of meals for each person? Is this answer right? Which process connects glycolysis and the citric acid cycle?A)lactic acid formationB)acetyl COA formationC)electron transportD)Krebs cycle