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
Ksju [112]
3 years ago
10

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
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0
----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am 
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------

Sauron [17]3 years ago
4 0

Answer:

northbound bicyclist = 20 km/h; southbound bicyclist = 14 km/h


Step-by-step explanation:


You might be interested in
the lines below are perpendicular . the slope of the red line is -1/3. what is the slope of the green line
Mariulka [41]

Answer:

3/1

Step-by-step explanation:


6 0
3 years ago
Add: 7,288 + 6,627 + 4,515
PIT_PIT [208]
18,430! I hope this helps you out!
5 0
3 years ago
Whats the circumference of a 18 in pizza to the nearest hundreth
LUCKY_DIMON [66]

Answer:wfwyttygvuy vy uwyvy ubyuegbfuyvg ougwyuc v        b  

Step-by-step explanation:vgehbeiub ui piuvupbu[ b[ububuipb j  

4 0
3 years ago
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
(x2 - 2)(-5x2 + x) = (x2)(-5x²)+(x2)(x)+(-2)(-5x2) + (-2)(x) is an example of:
KatRina [158]

Answer:

FOIL

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The store Clothes-4-You keeps data on their sales. These data points represent their coat sales, where x is the average outside
    14·2 answers
  • The number -2.34 can be found between which two integers?<br> (Full question above)
    12·2 answers
  • Which line segment is parallel to GE?<br><br> DH<br> KI<br> FG<br> HI
    13·2 answers
  • Which decimal is shown by the model?<br><br> A, 10.0<br> B,1.0<br> C,0.1<br> D,0.01
    11·2 answers
  • Select all of the following that is equivalent to 60%<br> 3/5<br> 5/3<br> 0.06<br> 0.6
    12·1 answer
  • PLEASE HELP!!
    12·1 answer
  • What is the value of x?
    10·2 answers
  • Pls answer it :'} plzzzzzzzzzzz
    10·1 answer
  • Пру<br> 4(х + 2) - (2x – 5)<br> 4(х + 2) – (2x – 5) =
    8·1 answer
  • Use the expansion shown tk simplify the expression
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!