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
finlep [7]
3 years ago
7

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the

Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

         

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

You might be interested in
Can someone plz help me with this question
Nostrana [21]
10^2 is 10×10 which is 100
4^2 is 4×4 which is 16
so it simplifies to 100-16×2. By Order Of Operations, parentheses, exponents, multiply and divide, add and subtract 100-16×2 makes 100-32 which is 68
5 0
3 years ago
(1×1)-tan×(-tan) evaluate it by Determinants
andrew11 [14]

Answer:

1x1

Step-by-step explanation:

4 0
2 years ago
An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from inf
shutvik [7]

Answer:

Option E is correct.

- Treatments: how the peppermint oil is dispersed

- Experimental unit: mice

- Response variable: number of mice in the dwellings

Step-by-step explanation:

The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.

Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.

For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.

The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.

Hope this Helps!!!

5 0
3 years ago
The slope formula can be used to prove that a triangle has:
lisabon 2012 [21]

Answer:

a right angle

Step-by-step explanation:

The best and most correct answer among the choices provided by the question is the second choice "a right angle"The formula for finding the slope of a line on a coordinate plane is (y2 - y1) / (x2 - x1), where (x2, y2) and (x1, y1) represent two distinct points on the line. This is also known as "change in y over change in x" or "rise over run."I hope my answer has come to your help. God bless and have a nice day ahead!




8 0
2 years ago
Emily bought four boxes. A week later
Maurinko [17]
She had 22 boxes to start
6 0
1 year ago
Read 2 more answers
Other questions:
  • are the expression -7 + -2 and -7 - 2 equivalent why or why not? include the solutions for each expression for full credit
    12·1 answer
  • If x+y=8 and xy=24,<br> Fnd the value of x and y
    9·2 answers
  • The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).
    9·2 answers
  • Can someone answer it correctly plz I’ll give you all my points
    7·1 answer
  • Convert the following equation to Slope-Intercept Form
    14·1 answer
  • Create a proportional ratio<br> to the given ratio.<br> 10<br> 5
    5·1 answer
  • How many 5/16s are in 1 whole 7/8
    6·1 answer
  • USe Diagram to solve
    7·1 answer
  • Select all that are true for the following quadratic: y = 2 x 2 + 3 x + 5
    15·1 answer
  • Help me i nee helpppppp
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!