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
SSSSS [86.1K]
4 years ago
7

Kyle and Cooper are driving. Kyle drives 5 mph faster than Cooper. The same amount of time of Kyle drives 87.1 miles Cooper driv

es 80.6 miles how quickly are each driver driving
Mathematics
1 answer:
alexandr1967 [171]4 years ago
4 0

Answer:

  • Kyle, 67 mph
  • Cooper, 62 mph

Step-by-step explanation:

Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.

Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.

Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)

Kyle is driving 67 mph; Cooper is driving 62 mph.

_____

<em>Alternate solution</em>

The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.

You might be interested in
A bag contains 2 red ping pong balls and 3 green ping pong balls and 3 blue ping pong ball and 1 yellow pig pong ball find the p
vichka [17]
2 red ping pongs - least likely
3 green ping pongs - possible
3 blue ping pongs - possible
1 yellow ping pong - not possible
4 0
3 years ago
Read 2 more answers
Evaluate the expression a/b for a = 80 and b = 8.
tangare [24]

A / B

= 80 / 8

= 10

Therefore the answer is 10

7 0
3 years ago
Read 2 more answers
Find the rate of change (slope) of the line. Enter only the number in the box below (the m= is provided for you).
Alecsey [184]

Answer:

the slope is 1/2

Step-by-step explanation:

the line goes up 1 unit then right 2

4 0
4 years ago
Consider a 3×10 grid of points. Suppose that starting at the lower left corner, you can go one step up or one step to the right
astraxan [27]

Answer:

Step-by-step explanation:

Before to get started we are going to imagine a grid with 3 rows and ten columns.

In order to find how many different paths are possible to reach the upper right corner from the lower left corner  we have to take in account that every possible route has just 13 moves. 3 right moves and 10 up moves.  

Since order does not matter in our paths , we can solve this problem using combination formula.

C(n,r)=\frac{n!}{r!*(n-r)!}

Let n=all possible  moves

   r= number of right or up moves

The number of possible paths can be found by finding how many combinations of right moves or up moves we can have in all possible moves. We will end up with he exact same result.  

In this case we will use r as the number of up moves.

C(13,10)=\frac{13!}{10!(13-10)!} =286

286 <u>paths are possible!</u>

4 0
3 years ago
Write the standard form of the equation of the line that passes through (-2, -3) and (2,-5).
Naily [24]

Answer:

y= -1/2x-4

Step-by-step explanation:

By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!

5 0
3 years ago
Other questions:
  • What is the gif of nine and fifty two
    7·1 answer
  • Bianca graphs the data in the table and finds that the trend lines is s=2.2f+4.7. Based on the information given, a player who m
    5·2 answers
  • Show answer in lowest terms 1/3 x 3/4=
    6·2 answers
  • Olivia is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box. T
    14·1 answer
  • List the integers that satisfy both these inequalities, 2x+9 -12
    6·1 answer
  • Two equivalent expressions are shown in the equation where a and b are both integers.
    8·1 answer
  • Solve l2x + 1l = 10<br><br><br> (That’s not a 12)
    11·1 answer
  • Please dont let this go by.. I really need help
    14·2 answers
  • What makes this an effective infographic?
    5·1 answer
  • Factor ab + bc + b2 + ac.<br><br> (a + b)(b + c)<br> (a + c)(b + c)<br> b(a + b)(b + c)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!