1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvv77 [185]
3 years ago
6

A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta

rts at the beginning of the trail and travels at a rate of 14 miles per hour. what is the amount of time that the cyclist travels before overtaking the runner?
Mathematics
1 answer:
valina [46]3 years ago
8 0

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

You might be interested in
What is a simplified expression for (x−y)−(x+y)?
stellarik [79]

Answer:

-2y

Step-by-step explanation:

Let's simplify step-by-step.

x−y−(x+y)

Distribute the Negative Sign:

=x−y+−1(x+y)

=x+−y+−1x+−1y

=x+−y+−x+−y

Combine Like Terms:

=x+−y+−x+−y

=(x+−x)+(−y+−y)

=−2y

3 0
2 years ago
Read 2 more answers
True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.
djyliett [7]

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

4 0
3 years ago
Is my answer correct? It's a mean, median, and mode question.
Serjik [45]
A. Mean

Mean = Total / How many numbers there are

City A- Add all the numbers:

4 + 3.5 + 5 + 5.5 + 4 + 2 = 24

There are 6 numbers.

24 / 6 = 4

Mean = 4 for City A

City B- Mean:

Add all the numbers:

5 + 6 + 3.5 + 5.5 + 4 + 6 = 30

There are 6 numbers.

30 / 6 = 5

Mean = 5 for City B

B. MAD(Don't know this part)

C. Median

City A- Median:

There are 2 middle numbers.

They are 5 and 5.5

5 + 5.5 = 10.5

10.5 / 2 = 5.25

Median = 5.25 for City A

City B- Median:

The 2 middle numbers are 3.5 and 5.5

3.5 + 5.5 = 9

9 / 2 = 4.5

Median = 4.5 for City B.

Answers:

a. The mean for City A is 4. The median for City B is 5.
b. Don't know MAD
c. The median for City A is 5.25. The median for City B is 4.5

Hope this helped☺☺



5 0
3 years ago
Write the following in exponential form. d · d · d · d · d · d · d · d · d
Nastasia [14]

Answer: d^9

Step-by-step explanation: i dunno it is what it is

3 0
2 years ago
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75.
erastovalidia [21]

Answer:

Yes

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • You and your friend are selling tickets for the orchestra concert. OnThursday, you sold 15 tickets and your friend sold 10 ticke
    13·1 answer
  • The amount of money that college students spend on rent each rent month is usually between 300 and 600.However there are a few s
    13·1 answer
  • Matt has 20 marbles in a bag. 15 are red, 2 are blue, and 3 are green. what is the probability that Matt will pick a blue marble
    11·2 answers
  • Paul has 7 piles of sports cards. There are3 basketball. football. and4 baseball cards in each pile. How many total sports cards
    12·2 answers
  • How do I solve and what’s the answer to 6(4s+12)=8(3s-14)
    8·1 answer
  • How many solutions are there to the system of equations graphed below if the lines are parallel?
    7·2 answers
  • A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is lab
    7·1 answer
  • Write 0.1 as a fraction​
    15·2 answers
  • Which statement about these rectangles is true? 4(1.5) 4 2(1.5) Image 2(1.5) Pre-Image 2 4(1.5)​
    13·1 answer
  • Could any one help me with this? And with explanation and who ever answers first gets brainliest answer​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!