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:

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.

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

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

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

Answers

Sorry I want to help but idk how

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

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

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

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.

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

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

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

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

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.

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

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

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

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:

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

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.

Please help with d. Thank you!!

Answers

The correct answer is : 7543

Step by step is below

What is the ratio of 1:2 of 1250

Answers

the ratio is:
12500 skiers and 2500 snowboarders!

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

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.

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

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

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

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.

{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

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

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