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
zhuklara [117]
3 years ago
15

Two cyclists, 55 miles apart, start riding toward each other at the same time. One cycles 5 miles per hour faster than the other

, and they meet after 5 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists?
Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:  

1) speed of faster cyclist:  f = r + 5

2) speed of slower cyclist:  r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

2r = 6

Then r = 6 mph and f = 11 mph

You might be interested in
Help me plz it’s confusing
Alja [10]
X+8>= 18
therefore, the circle has to be on ten, (solid) and an arrow pointing to the right, 
10+8>=18 which is true.

-7+x>= -8
the circle is going to be on -1, (solid) and pointing to the right.  
-7 +-1 (-8) >=-8 which is true, then -7 +0>= -8 which is true
n-2<=4 so, the answer is a dot (solid) on 6 pointing to the left 
6-2 (4) <=4 then 5-2 (3) <= 4 which both are true

-18+n<-7
so this answer is going to be on 10, and it will be a hollow dot, pointing to the left
-18+10 (-8) <-7 which is true
n-4>=13
so, this has to be greater than or equal to 13.
n must be greater than or equal to 17 (add 4 to both sides) so the dot (solid) is going to be on 17 and pointing to the right.

NOTICE: I had a different explanation for number 9, which is how I figured each one out.
Hope this helped! Sorry it took so long!
5 0
3 years ago
If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?
love history [14]
E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2
3 0
2 years ago
SOMEONE PLEASE HELP ME QUICK WILL GIVE BRAINLIEST
Wittaler [7]

Answer:

IT would be B I believe

Step-by-step explanation:

f(x) = 3x + 391

4 0
2 years ago
My Christmas present to you​
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

if you need help let me know

8 0
2 years ago
Read 2 more answers
How many driveways can you and your friend shovel if you work together for 5 hours each day for 2 days
IRISSAK [1]

Answer:

13 driveways with a quarter of an hour to spare

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Urgent help needed with right triangle trig!
    10·1 answer
  • Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 3.5 miles and 4 miles what is the mean distance that jim jogged each da
    7·2 answers
  • One number is 27 less than twice another. Their sum is 93. What are the numbers?
    8·1 answer
  • Compare the decimals 7,231.60 and 7,231.6. Which comparison is correct? A. 7,231.60 &lt; 7,231.6 B. 7,231.60 = 7,231.6 C. 7,231.
    8·2 answers
  • Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
    8·1 answer
  • The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. U
    11·2 answers
  • Which ordered pair is a solution of the equation y = –54x – 2?
    7·1 answer
  • 50 1/2 divided by 1/4 = 202<br> How are the numbers related?
    15·2 answers
  • 8 - 3/2b = 11 solve The equation. Check your solution
    13·1 answer
  • Raymond drove from San Antonio to Dallas in 5.2 Hours. It is 390miles from San Antonio to Dallas. If Raymond drove at a constant
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!