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
AnnyKZ [126]
3 years ago
6

two trains leave stations 210 miles apart at the same time and travel tword each other. one train at 85 miles per hour while the

other travels at 65 miles per hour. how long will it take for the two trains to meet?
Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

recall your d = rt, distance = rate * time.


let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.


they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.


When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}

You might be interested in
A small business lost $6200 in its first year, lost $2150 in its second year, and earned $4780 in its third year. Overall, in th
vfiekz [6]

Answer:

-6200-2150+4780

-8350+4780

Overall, they lost $3570

4 0
3 years ago
DATA ANALYSIS AND STATISTICSProbabilities involving two rolls of a dieAn ordinary (falr) die is a cube with the numbers 1 throug
Zepler [3.9K]

Solution

The table below is the required sample space of the to fair die

From the above table

The sample space contain 36 outcomes

Event A: The sum is greater than 9

we will look at the table and count all the elements that are greater than 9

There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)

The probability for event A will be

\begin{gathered} p(A)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(A)=\frac{6}{36} \\ p(A)=\frac{1}{6} \end{gathered}

P(A) = 1/6

Event B: The sum is an even number.

We will look at the table and count the number of elements that are even

There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)

The probability for event B will be

\begin{gathered} p(B)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(B)=\frac{18}{36} \\ p(B)=\frac{1}{2} \end{gathered}

p(B) = 1/2

5 0
1 year ago
What is 228/298 simplified to its lowest term?
rosijanka [135]
Find the GCF of 228 and 298 and that would be 2.

divide both the numerator and denominator by 2

simplify

Answer: 114/149.
5 0
3 years ago
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the aver
kolbaska11 [484]

Answer:

Paired samples t- test is appropriate for Dean's hypothesis

Step-by-step explanation:

Given Data :

Student           1     2     3      4      5      6      7      8

Marketing      82  86   74    93    90    76   87   100

Finance         76   91    70    79    96     70  85   81

We are supposed to find the test which is appropriate for Dean's hypothesis

We are given the grades of two different subjects for same student

We perform the paired t test because the final grades for the Marketing and Finance  is taken for the same student.

So, Option B is correct

Hence Paired samples t- test is appropriate for Dean's hypothesis

8 0
3 years ago
5(4x-4)+2(13-5x)-3(3x+4)=-3 solve the equation. heLP
adell [148]

The answer is x=3

Im sure of it.

6 0
3 years ago
Other questions:
  • A 135 degree angle is classified as what
    13·2 answers
  • Explain how you would use equivalent fractions to solve 0.5 + 0.10
    15·2 answers
  • If a(x) = 3x + 1 and b(x)=<br>x-4, what is the domain of (b. a) (x)?​
    11·2 answers
  • What is the height of the unit
    8·2 answers
  • Can you please help!! I need it ASAP! ;(
    9·1 answer
  • What question do you ask when checking your answer and presenting the solution?
    7·1 answer
  • Explain how to find the square root of 100. Explain why you use the underlined + sign.
    8·2 answers
  • Evaluate lim x=π/4(3x - tanx)​
    13·1 answer
  • Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
    11·1 answer
  • You are a volunteer at a physical therapy clinic. A set of stairs you use to help patients is shown with its dimensions. What is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!