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
sammy [17]
2 years ago
13

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the othe

r. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?
Mathematics
2 answers:
jeyben [28]2 years ago
5 0

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

iragen [17]2 years ago
3 0

Let the speed of the faster bike = X

The slower bike would be x - 4 ( 4 mph slower)

Multiply each speed by time and add to equal total distance:

2x + 2(x-4) = 56

Simplify:

2x + 2x -8 = 56

4x -8 = 56

Add 8 to each side:

4x = 64

Divide both sides by 4:

x = 64/4

x = 16

The faster bike rode at 16 miles per hour

The slower bike traveled at 16-4 = 12 miles per hour

You might be interested in
Round your answer to the nearest hundredth
nalin [4]

Answer:

A = arctan(BC/CA) = arctan(8/2) = 75.96 deg

Hope this helps!

:)

3 0
3 years ago
Which equation represents a line which is perpendicular to the line 4x + 3y = - 24 ?
Scorpion4ik [409]

Answer:

C

Step-by-step explanation:

4x+3y=-24

eq. of any line perpendicular to given line is

3x-4y=a

4y=3x-a

y=3/4x -a/4

where a is an arbitrary constant.

4 0
3 years ago
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti
Sonja [21]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

4 0
3 years ago
Probability of pulling a green marble out of a bag of coloured marble is 2:5 if you were to pull coloured marbles out of the bag
Slav-nsk [51]

Answer: 171 green marbles

Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28

Then there is a 2 out of 7 total tries so  14.28 * 2 equals 28.57% chance to get a green marble.

600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.

6 0
3 years ago
Rewrite in simplest terms: -4(5v – 3v – 6) – 9v
julsineya [31]

Answer:

-4 (5v -3v -6) -9v (use the distributive property)

-20v +12v +24 -9v (combine all like terms)

-17v +24

3 0
2 years ago
Read 2 more answers
Other questions:
  • A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.1
    10·2 answers
  • Erica ran 3 out of 8 Miles. Mariah ran 3 out of 4 miles. Who ran father?
    15·2 answers
  • xian and his cousin Kai Both collect stamps, xian has 56 stamps, and Kai have 80 stamps. The boys recently joined different stam
    7·1 answer
  • What is the range of g
    6·1 answer
  • Hey guys I really need help on this one!
    12·1 answer
  • PLEASE HELP QUICK!!!
    15·1 answer
  • HELPPP ASAPPP!!!!!!!!
    8·2 answers
  • Kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=p%28x%29%3Dx%5E%7B3%7D%2B7x%5E%7B2%7D%20-4x-28" id="TexFormula1" title="p(x)=x^{3}+7x^{2} -4x-
    11·1 answer
  • Select the correct answer.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!