Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction

Answers

Answer 1

Answer:

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input        Output

  2            1/6

  3          17/48

  4          13/24

  5          35/48

  6          11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

Relative change = change in distance/change in time(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.

Answer 2

Answer:

it is 3/16 miles per minute

Step-by-step explanation:

...


Related Questions

The distance to the sun in inches is 1.116 x 10^9 How many fireflies would it take to reach the sun if they were put end to end?

show work please ​

Answers

Answer:

THE DISTANCE OF SUB IS 5892480000000IN

1MI=63630 IN

930000000MI=93000000×63360 IN=589248000000IN

X=NUMBER OF FIREFLIES

X=0.4IN=5892480000000IN

X=58924800000000IN×0.4IN

X=147312000000000

Answer:

This is wrong, I used this answer too and it was wrong.

Step-by-step explanation:

Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs ​$50. If their total cost is ​$218​, what is the cost of one month of gameplay?

Answers

Answer:

The cost of one-month gameplay is $39.33 or 39.

Step-by-step explanation:

Let the cost of one month = x

The cost of software = $50

The total amount that can be spent = $218

Therefore, we have to find the cost of one month of game play. Here is the following equation.

218 = (50 + x) + (50 + 2x)

218 = 100 + 3x

218 – 100 = 3x

118 = 3x

x = 118 / 3

x = 39.33 or 39

thus, the cost of one-month gameplay is $39.33 or 39.

In the visit to the Old Folks' Home last weekend, Alice spent time chatting with Mr Han and helping him with simple chores. She found that Mr Han is 36 years older than her. 7 years later, Mr Han will be 3 times as old as her. How old is Mr Han now?

Answers

I think Mr. Han is around the 60 or 70 age.

I am really sorry that I couldn't answer this problem.  Try starting with 21 and multiply that by 3.  To check if you can do it, add 43 to the number you multiply 3 with.  Again, i am really sorry that i only wrote a hint.  Good luck finding the answer!

Now the age of Mr. Han will be 54 years old.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Let x be the age of Mr. Han and y be the age of Alice.

She found that Han is 36 years older than her. Then the equation will be

x = y + 36     ...1

7 years later, Han will be 3 times as old as her. Then the equation will be

(x + 7) = 3(y + 7)

x = 3y + 14   ...2

From equations 1 and 2, we have

3y + 14 = y + 36

2y = 22

y = 11

Then the value of x will be

x = 11 + 36

x = 47

The age of Mr. Han will be

⇒ 47 + 7

⇒ 54

Now the age of Mr. Han will be 54 years old.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Please help with d. Thank you!!

Answers

The correct answer is : 7543

Step by step is below

{3x+y=10
{X-4y=-1 You must solve for Y

Answers

Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

I can collect 1.6 pecks of chile peppers a day. How many liters or peppers could I collect in a week?​

Answers

Answer:

11.2

Step-by-step explanation:

multiply 1.6 by 7 since that's how many days there are in a week

Answer:

11.2

Step-by-step explanation:

you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2

hope it helps.

The largest prime factor of thirty-five is _____. 7 5 9 11

Answers

Answer:

7

Step-by-step explanation:

Since 9 and 11 do not factor 35, they are not the answer.

5 is a factor of 35, but not the largest. So, the answer is 7.

Answer:

the largest prime factor of 35 is 5

Cindy brought chocolate and vanilla cupcakes to school for her birthday. 15 students decided to take a cupcake, and 9 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

37.5%

Step-by-step explanation:

There are 24 students that decided to pick a cupcake at all. 9 out of 24 students chose vanilla. Therefore, 37.5% of students chose vanilla.

What time is 3 ¾ hours after 10:37 pm? ( Your answer must contain am or pm )

Answers

Answer:

2:23

Step-by-step explanation:

Answer:

10:37 pm + 3 3/4 hours = 2:22 am

Step-by-step explanation:

10:37

3: 45

2:22

+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes

11pm + 3:22= 2:22 am

A number is 2 /5 times another number. Their sum is 70. Find the numbers.

Answers

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

6. Two trains traveled from opposite
directions on parallel tracks toward
the bullfight town. They started
1,110 km apart at exactly the same
time. Train A's speed was 55 km/h
and Train B's speed was 85 km/h.
Would the trains have
met within 5 hours?

Answers

Answer:

They will not have met

Step-by-step explanation:

Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart

If tn is 2n+3 find t7 t30 and s10​

Answers

Answer:  t₇ = 17     t₃₀ = 63       S₁₀ = 140

Step-by-step explanation:

t₇ = 2(7) + 3

  = 14 + 3

  = 17

t₃₀ = 2(30) + 3

    = 60 + 3

    = 63

S₁₀ = (t₁ + t₁₀)/2 × 10

    = (5 + 23)/2 × 10

    = 28/2  10

    = 14 × 10

    = 140

when twelve is subtracted from three times a certain number and the number and the is divided by four, the answer is eighteen. find the number?​

Answers

Answer:

[tex]<font color=pink>[/tex]

According to the question, we get the equation :

[tex]<font color=blue>[/tex]

3x-12=18

[tex]<font color=black>[/tex]

⛈Let's find x :

[tex]3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10[/tex]

Hope you understand

I’m stuck on this question

Answers

Answer:

x= 0.4

Step-by-step explanation:

x^2 = 4/25 (0.16)

x = 0.4                        Square root both sides

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.

Answers

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for each work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

Solve for n: 4n = 2n + 6
A. 1
B. 2
C. 3
D. 4
E. 12

Answers

4n-2n=6
2n=6
n=6/2
n=3
Your answer is C. 3

How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

Given

5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify

5x - 5 + 2 = 5x - 3, that is

5x - 3 = 5x - 3

Since both sides are equal then there are an infinite number of solutions to the equation.

6x+11=3x-1, what is x

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]6x+11=3x-1[/tex]

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

[tex]6x+11-3x=3x-1-3x[/tex]

And this equals:

[tex]3x+11=-1[/tex]

Now we must subtract again, but 11 times now.

[tex]3x+11-11=-1-11[/tex]

And this equals:

[tex]3x-12[/tex]

Now let's make this into a fraction to divide.

[tex]\frac{3x}{3}[/tex]

We get [tex]\frac{-12}{3}[/tex]

Now we got our answer:

[tex]x=-4[/tex]

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

Find the slope of each line defined below and compare their values.
Equation of Line A:
-1=
(x – 6)
Graph of Line B:
10
7
6
5
3
2
-Q-
8-7-6
-5
-3
-2 -1
2
3
4
5
6
8
to
g
-3
The slope of Line A is
and the slope of Line B is
Therefore the slope
of Line A is
the slope of Line B.

Answers

Step-by-step explanation:

The equation of line A:

y - 1 = 0.5x - 3

y = 0.5x - 2. Hence its gradient is 0.5.

For line B, its y intercept is -8, so y = mx - 8.

When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.

So the equation of line B:

y = -2x - 8. Its gradient is -2.

Since |-2| > |0.5|, line B is steeper than line A.

The slope of the line A(1/2) > slope of line B(2).

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take Points from the graph as (-4, 0) and (0, 8)

so, the slope is

m = (8-0)(0-(-4))

m = 8/ 4

m = 2

So, the slope- intercept form

y- 0 = 2(x- (-4))

y= 2x + 8

Hence, the slope of the line A(1/2) > slope of line B(2).

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

What is the ratio of 1:2 of 1250

Answers

the ratio is:
12500 skiers and 2500 snowboarders!

PLEASE HELP ME! How do I find x?????????

Answers

Answer:

Here you have to use the vertically opposite angle

your answer is 35

because vertically opposite angles are equal

x=35

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

X and 35 are vertical angles and vertical angles are equal

79,000 people live in a circular region with a population density of 513 people per square mile. What is the radius of the region

Answers

Answer:

step by step

Step-by-step explanation:

the answer is 7

Pls help me on this question ASAP I wil make the anyone who can answer this for me the brainliest

Answers

Answer:

Forget it, i'm confused

Step-by-step explanation:

(3x+2)+(5x-5)=8x-3

(17x-7)-(8x-3)=9x-10

Double Check

9x-10+5x-5+3x+2

17x-15+2

17x-13

In which graph is y a direct variation of x?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

The line is going through the origin.

2x + 3 = -7
What is the answer?

Answers

2x+3=-7
-3=-7-3=-10
2x=-10
X=-5

Answer:

x = -5

Step-by-step explanation:

Original Equation: 2x + 3 = -7

Subtract 3 from both sides:

2x + 3 - 3 = -7 - 3

Simplify:

2x = -10

Divide both sides by 2:

[tex] \frac{2x}{2} = \frac{ - 10}{2} [/tex]

Simplify:

x = -5

D
B
8 cm
8 cm
16 cm
С
Find the area of triangle ABC.

Answers

Could you be more specific
um the answer should be 1,024

Randy walks his dog each morning. He walks StartFraction 7 Over 12 EndFraction of a mile in 7 minutes. How many miles does he walk in 1 minute?

i found the answer its 1/12 you just dived 7 and 7 and then leave the bottom number alone, and then what do you get 1/12.

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

I got the question purposely wrong so I could see the right answer

Can someone please help me with these practice problems? *URGENT*

Answers

Sorry I want to help but idk how

I need the answer and the work (it’s geometry)

Answers

Answer:

D

Step-by-step explanation:

The starting point is B and the ray extends towards A.

So the asnwer is D.

For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?

Answers

Answer:

5

Step-by-step explanation:

Other Questions
what is the midpoint of 3,7 and -2,3 pls help fast !!!!!???? v+8-6=10Please help quick large amount of fat around the waist What contributions led to the acceptance of the heliocentric model of the solar system Choose all the answers that apply.Ethical scientists ______keep detailed recordsmake biased conclusionsfollow the scientific methodcommunicate experimental resultsreport inaccurate date Express the following vector in the form v=v1i+v2j+v3k. 3u - v if u=(4,7,-3) and v=(2,-7,5).3u - v = ____ i + ____ j + _____ k.(Simplify your answers.) Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week's show, and 2 more will be eliminated during next week's showHow many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week. 28 21020,160 151,200 Eukaryotes evolved from prokaryote ancestors (the Endosymbiont Theory being a likely pathway). While eukaryotes share some traits with their prokaryote ancestor(s), some features are unique to eukaryotes. What are they?a. circular double-stranded DNA in the nucleus.b. ribosomes are used for protein synthesis.c. membrane-bound organelles.d. mitosis.e. mitochondria.f. photosynthesis.g. motility.i. histones associated with DNA. which will typically decrease with large number of units produced, fixed costs, total variable costs, fixed cost per unit, varable cost per unit What is the 2020-2021 Biomedical debate topic? using appropriate properties, find the value of 249 - 248 A car moves a distance of 100m in 12 seconds. what is the average speed in km/h Lightning occurs when there is a flow of electric charge (principally electrons) between the ground and a thundercloud. The maximum rate of charge flow in a lightning bolt is about 20,000 C/s this lasts for 100 s or less.1. How much charge flows between the ground and the cloud in this time? (Q= ? C)2. How many electrons flow during this time? (n_e = ?) The perimeter of the rectangle is 48 inches. If the width of the rectangle is 11 inches what is the length? After arriving in North America in 1630, the Puritans focused on? converting American Indians to their religion. preventing Quakers from gaining control of the area. establishing a colony based on religious principles. gaining wealth through trade and commerce. Need answer quickly! ejemplo de protena de membrana para la difusin facilitada ejemplo de protena para el transporte activo 100 POINTS PLS HELP: Fill in the boxes to explain the advantages and disadvantages of each of the three government systems and give an example of a country that uses/used this type of system. Some of these have been filled out for you. Type of System Advantages Disadvantages Real World Example Federal System: Confederal System: Unitary System: do sponges have cells what is the solution to : 3(1/2 m - 3) =45