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
SCORPION-xisa [38]
2 years ago
5

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

ng north is riding 6 km/hour faster than the bicyclist heading south. At 10:15, they are 42.5 km apart. Find the two bicyclists’ rates.
Mathematics
1 answer:
Viktor [21]2 years ago
3 0

Answer: The rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

Step-by-step explanation:

Since we have given that

Let the speed of bicyclist heading south be 'x'.

Let the speed of bicyclist heading north be 'x+6'.

Since they are moving in opposite directions,

So, relative speed = x+x+6=2x+6

Time taken = 10: 15 to 9:00 = 1 hour 15 minutes = 1\dfrac{15}{60}=1\dfrac{1}{4}=\dfrac{5}{4}

Distance between them = 42.5 km

According to question, it becomes,

\dfrac{Distance}{time}=Speed\\\\\dfrac{42.5}{\dfrac{5}{4}}=2x+6\\\\42.5=\dfrac{5}{4}(2x+6)\\\\4\times 42.5=5(2x+6)=10x+30\\\\170=10x+30\\\\170-30=10x\\\\140=10x\\\\x=\dfrac{140}{10}\\\\x=14\ km/hr

Speed of bicyclist heading north would be 14+6=20 km/hr

So, the rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

You might be interested in
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

P(A \cap B \cap C) = P(A)P(B)P(C)

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that P(A) = 0.235, P(B) = 0.258, P(C) = 0.26

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158

0.0158 = 1.58% probability that all of them are under 18.

8 0
2 years ago
Lisa, an experience shipping clerk, can fill a certain order in 10 hours. Bill, a new clerk, needs 13 hours to do the same job.
Lelu [443]
I think 11 hours and 30 minutes
7 0
3 years ago
4 pts
Aliun [14]

Answer:

17

Step-by-step explanation:

So, this is a percentage problem.

Start off by finding how many students 0.28% is:

If 100% = 5780

0.01% = 0.578                          

Now:

0.01% = 0.578

0.28% = 16.184

The exercise tells you to round for a whole person, so 16.184 turns 17

And that's the answer!

5 0
2 years ago
Help me with 4 and 5 please
olganol [36]
The 4 is H and for 5, i don’t have much time rn so ask somebody else!
5 0
3 years ago
(7^3)^-5 <br><br> Please help! :)
cupoosta [38]
I believe the answer is 7^-15, here’s a quick explanation:
multiply the exponents, but my answer is for simplifying the expression, i hope it helped!
4 0
3 years ago
Other questions:
  • How to find interval of interest of objective function?
    10·1 answer
  • A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation.
    7·1 answer
  • The function f(x) = -x2 + 40x - 336 models the daily profit, in dollars, a shop makes for selling donut
    13·1 answer
  • Find the solution to the system of equations. Select all that apply. Y=x^2-2x-3. Y=x-3
    9·1 answer
  • Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar
    5·1 answer
  • Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the t
    7·1 answer
  • The length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively, which statement best describes (a-13
    13·1 answer
  • I need helppppppp plssss
    14·1 answer
  • Find the value of x (and y, if applicable)
    14·1 answer
  • (0, - 8) and (3, 2).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!