Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?

Answers

Answer 1

Given:

Rita covered 1 mile in 15 minutes.

She covered 3 miles in 30 minutes.

To find:

The rate at which she is riding.

Solution:

Let y be the number of miles covered in x minutes.

Rita covered 1 mile in 15 minutes. So, the point is (15,1).

She covered 3 miles in 30 minutes. So, the point is (30,3).

Slope of the line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-1}{30-15}[/tex]

[tex]m=\dfrac{2}{15}[/tex]

Therefore, she is riding [tex]\dfrac{2}{15}[/tex] miles per minute.


Related Questions

write the equation of the line in slope-intercept form that has a y-intercept that is -5 and a slope of 8

Answers

Answer:

Step-by-step explanation:

y + 5 = 8(x - 0)

y + 5 = 8x - 0

y = 8x - 5

the cost (in dollars) of making n birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost is $419?

Answers

Answer:

n= 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

419 = 24n + 35

419 - 35 = 24n

384 = 24n

384/24 = n

16 = n

Therefore, n = 16

What is the answer for both? ​

Answers

Answer:

5. D

6. I think D. Because is y=mx+b and b is y the intercept in y. Y= 0-4 and replacing the -4 would remain at the end

Factor by grouping
x^3+2x^2-9x-18

Answers

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

which angle is supplementary to angle EOB

Answers

Answer:

Angle BOC

Please mark brainliest!!! Thanks.

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Quadrilateral A B C D is translated down and to the left to form quadrilateral O L M N.

If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO?

5 units
6 units
8 units
10 units

Answers

Answer:

LO = 6 units ⇒ B

Step-by-step explanation:

Translation does not change the size or the shape of the figure

∵ Quadrilateral ABCD is translated down and left to form

   quadrilateral OLMN

The image of side AB is side OL

∴ The image of side BC is side LM

∴ The image of side CD is side MN

∴ The image of side AD is side ON

AB = 6 units

∵ Translation does not change the size of the figure

∴ The image of AB = 6 units

∵ The image of AB is OL

∴ The length of OL = 6 units

∵ OL = LO

LO = 6 units

The length of LO of the newly translated quadrilateral is; Option B: LO = 6 units.

Translation of objects in mathematics simply means to move an object from one point to another without a change of length or figure.

Now we are told that Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Thus means Quadrilateral OLMN is still same size and length as ABCD and as such the sides will correspond in order.

Thus, it means that;

AB = OL

BC = LM

CD = MN

AD = ON

We are given;AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units

Thus, since AB = OL, we can say that;

LO = 6 units.

Read more on translation of objects at;https://brainly.com/question/24850937

math math pls answer

Answers

Answer:

D

Step-by-step explanation:

see 0.12 is equal to 0.120

now its easy to tell that 0.124>0.12 because 4 is greater than 0

HOPE THIS HELPED !!!! :D

Answer:

ans d

Step-by-step explanation:

What are some interesting things about math teachers?

Answers

uh they must be good at math and that’s impressive? lol

Answer:

Some math teachers actually explain what we have to do. Math teachers are the coolest!! Not all, but some :)

Step-by-step explanation:

please help asap!! thank you :)

Answers

Answer:

About 3800

Step-by-step explanation:

When a number is increased by 3 and the result is multiplied by 2, the product is 14. What is the number?



I WILL MARK BRAINLIEST IF YOU HELP ME PLZ I NEED TO GIVE THIS IN!!!

Answers

Answer:

4

Step-by-step explanation:

u divide 14 by 2 and then subtract 3

hope this helps!

25 Points: The probability of event A occurring in an experiment is P(A)=0.73
What is P(Ac)?
Enter your answer as a number rounded to two decimal places, like this: 0.42

Answers

Answer:

.27

Step-by-step explanation:

Graph.
y= 53x–4

Apparently this is way to short and I have to put in 20 more characters to get a "great" answer *eye roll* sooooooooooo blah blah blah balh there more than 20

Answers

Answer:

sorry

Step-by-step explanation:

why the hell do our teachers do this to us ;(

The Size of Jupiter is 2 x 10 to the power of 27 and the size of Saturn is 6 x 10 to the power of 26. How many times bigger is Jupiter than Saturn?

Answers

Answer:

40

Step-by-step explanation:

pretty simple not trying to be mean

Answer:

[tex]jupiter \: is \: approximately \to \:\boxed{ 3.333 \: times \: bigger \: than \: saturn. } [/tex]

Step-by-step explanation:

[tex]if \: The \: Size \: of \: Jupiter \: is \to2 \times 10 {}^{27} \\ ........... and...... \\ the \: size \: of \: Saturn \: is \to 6 \times 10 {}^{26} . \\ then : Jupiter \: is \to \: (\frac{2 \times 10 {}^{27} }{6 \times 10 {}^{26}} ) \\ \: bigger \: than \: Saturn. \\ \frac{2 \times 10 {}^{27} }{6 \times 10 {}^{26}} = \frac{1}{3} \times {10}^{1} = \frac{10}{3} = \boxed{ 3.3333333333 }\\ [/tex]

♨Rage♨

Starting at 1:00 pm, the temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach -1 F.
PLEASE HELP ASAP!!!

Answers

Answer:

im guessing it will take 3 hours to get to -1 F

Step-by-step explanation:

If u give me the right answer I’ll give brainlist just plz help!!!!!!

Answers

the estimated tip would be $1.97

Answer:

$2.00

Step-by-step explanation:

Round the Price up to $40, then multiply 40 x 0.05 to get 5% of $40. Answer $2

A bag contains red marbles and black marbles. For every 1 black marble,
there are 19 red marbles. If there are a total of 120 marbles in the bag, how
many RED marbles are there?

Answers

there are 101 red marbles.

what does 3x + 23 = 10x - 12 equal

Answers

Answer: x=5

Step-by-step explanation:

hope this answer helps

X=5
These are the solving steps

Joseph ran LaTeX: 2\frac{3}{4}2 3 4 miles in LaTeX: \frac{2}{5}2 5 of an hour. How fast did Lin run in 1 hour? (try to leave your answer in a fraction) Nathaniel ran LaTeX: 8\frac{2}{3}8 2 3 miles in LaTeX: \frac{4}{3}4 3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction) Who ran the fastest, Nathaniel or Joseph?

Answers

Answer:

Nathaniel ran fastest

Step-by-step explanation:

For Joseph

Joseph ran 2 3/4 miles 2 /5 of an hour.

Speed = Distance/Time

Speed = 2 3/4 miles ÷ 2/5 hour

= 11/4 ÷ 2/5

= 11/4 × 5/2

= 55/8 miles/hour or 6.875 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

2/5 hour = 55/8 miles per hour

1 hour = x

Cross Multiply

x = 55/8 ÷ 2/5

x = 55/8 × 5/2

x = 275/16 miles per hour

x = 17 3/16 miles per hour

Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)

Speed = Distance/Time

Speed = 8 2/3 miles ÷ 4/3hour

= 26/3 ÷ 4/3

= 26/3 × 3/4

= 26/4 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

4/3 hour = 26/4miles per hour

1 hour = x

Cross Multiply

x = 26/4 ÷ 4/3

x = 26/4 × 3/4

x = 78/16 miles per hour

x = 4 14/16 miles per hour

= 4 7/8 miles per hour

Who ran the fastest, Nathaniel or Joseph?

Hence, from the calculation above, Nathaniel ran fastest

What is the correct answer for both? ​

Answers

Answer:

15)   C (3, -4)

16)   B (-1, 1)

Step-by-step explanation:

8x + 6y = 0

8x + 2y = 16

8x + 2y = 16

8x = 16 - 2y

x = 2 - 1/4y

8x + 6y = 0

8(2 - 1/4y) + 6y = 0

16 - 2y + 6y = 0

16 + 4y = 0

4y = -16

y = -4

8x + 2y = 16

8x + 2(-4) = 16

8x - 8 = 16

8x = 24

x = 3

________________

-20x - 3y = 17

10x - 4y = -14

-20x - 3y = 17

-20x = 17 + 3y

x = -17/20 - 3/20y

10x - 4y = -14

10(-17/20 - 3/20y) - 4y = -14

-8.5 - 1.5y - 4y = -14

-8.5 - 5.5y = -14

-5.5y = -5.5

y = 1

-20x - 3y = 17

-20x - 3(1) = 17

-20x - 3 = 17

-20x = 20

x = -1

how do I solve "at 1:00., you have 24 megabytes of a movie. at 1:15., you have 96 megabytes. what is the download rate in megabytes per minute?"​

Answers

Answer:

4 megabytes per minute

Step-by-step explanation:

Answer:

You're downloading 4.8 megabytes/minute.

Step-by-step explanation:

[tex]\frac{96-24}{15-0}=\frac{72}{15} =4.8[/tex]

PQ and RS are two lines that intersect at point T, as shown below:

Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent.

Which statement is used to prove that angle PTR is always equal to angle STQ?

choices:

a. Lines PQ and RS do not have a fixed length.

b. Angle PTR and angle PTS are supplementary angles.

c.Lines PQ and RS intersect at an angle less than a right angle.

d.Angle PTR and angle PTS are complementary angles.

Answers

Answer:

theres a spot with a link icon where you can upload an image

Step-by-step explanation:

you just have to ss it first and then it will show up when you go to upload

Express 40 cm as a percentage of 2.5m

Answers

Answer:

no

Step-by-step explanation:

Does anyone know this? Pls help it’s 7th grade math

Answers

Answer:

Step-by-step explanation:

-1,-1?

depends on what you are trying to find. That is where they intercect.

-1,-1? I don’t really know ‍♀️

Please help me ...........

Answers

Answer:

The first answer is $1050000

The second answer is $1500000

The third one is $450000

Hope this helps:)

Find the solution if x=6, y=8, and z=3
2x + 3y - z

Answers

Answer:

33

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

33

Step-by-step explanation:

2(6) +3(8) -3

Helppp pls ASAP plsss help

Answers

Answer:

17

Step-by-step explanation:

8.5 divided by 0.5 = 17

Don't worry about it being negative

Think about the negative positive triangle, it looks like that

-  -

+

2(x + 4) = 4x + 3 - 2x + 5

Answers

Answer:

0 true for all values

Step-by-step explanation:

evelyn drinks 8 glasses of water a day which is 56 glasses a week how many galles of water does she drink in a year 1 year=56 weeks

Answers

Answer:

3,136 glasses each year.

Step-by-step explanation:

If one year = 56 weeks and 8 glasses a day = 56 glasses a week then,

56 (glasses) * 56 (weeks) = 3,136 glasses each year.

!!30 points!!
The container that
holds the water for
the foorball team s 1/3
full. After pouring in 12
gallons of water, it is
7/9 full.

After pouring in 12
gallons of water, it is
7/9 full. How many
gallons can the
container hold?

Answers

Your answer would be 27 Gallons.

Anwer is 27 gallons answered for your question

Find the slope of the line y=3/4x + 4

Answers

Answer:

m=[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

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