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.

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Related Questions

Someone help I really need it.

Answers

Answer:

c

Step-by-step explanation:

C

12 = x

12 times 12 = 144

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

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]

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

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:

Help pls help NOW! 35 points.

Answers

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

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]

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

Answers

Answer:

jejejwjjwjejeejekeekekeknenenenne

Answer:

Step-by-step explanation:

Sorry but please give detailed question

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!

HEY CAN ANYONE ANSWER DIS PLS!

Answers

1.2 times 15 = 18 so your answer will be A

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

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.

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.

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

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

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.

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

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

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.

___

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___

Topic: Algebra I

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

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:

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

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:

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

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:

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:

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:

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


Answers

Answer:

124<369

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

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)
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