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
iragen [17]
3 years ago
5

A northbound train and a southbound train meet each other on parallel tracks heading in opposite directions. The northbound trai

n travels 4 miles per hour faster than the southbound train. After 2.5 hours, they are 330 miles apart. At what speeds are the two trains traveling?
Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Recall your d = rt, distance = rate * time.

if, the southbound train is going at a speed of say " r " mph, since we know that the northbound one is going faster by 4 miles, than is really going at " r + 4 " mph then.

now, we know in 2.5 hours, they're 330 miles from each other, thus the southbound train has been rolling for 2.5 hours, and the northbound train has also been rolling for 2.5 hours.

if the northbound train has covered on those 2.5 hours say " d " miles, then the southbound train has covered the slack, or " 330 - d ".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Northbound&d&r+4&2.5\\
Southbound&330-d&r&2.5
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=2.5(r+4)\\
330-d=2.5r\\
----------\\
330-\boxed{2.5(r+4)}=2.5r
\end{cases}
\\\\\\
330-2.5r-10=2.5r\implies 320=5r\implies \cfrac{320}{5}=r\implies 64=r

how fast is the northbound going?  well, r + 4.
You might be interested in
Which valve is closest to 85% of 25
Papessa [141]

Answer:

<h2>21</h2>

Step-by-step explanation:

The value that is closest

to 85% of 25 is 21 because

85% of is 21.25 and rounding

21.25 to the whole number is 21.

<em>Hope this helps! <3</em>

7 0
3 years ago
Write the equation using function notation f(x). then find f(0)<br><br> 2x^2 - 3y = 6
Grace [21]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: f(0) = -2

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: 2 {x}^{2}  - 3y = 6

\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2}

\qquad \tt \rightarrow \: 3y = 2 {x}^{2}  - 6

\qquad \tt \rightarrow \: y =  \cfrac{2 {x}^{2} - 6 }{3}

\qquad \tt \rightarrow \: y =  \cfrac{2 {}^{} }{3}  {x}^{2}  - 2

[ here, y can be replaced with f(x) because y is a function of x ]

\qquad \tt \rightarrow \: f(x) =  \cfrac{2 {}^{} }{3}  {x}^{2}  - 2

\large\textsf{Find f(0):}

\qquad \tt \rightarrow \: f(0) =  \cfrac{2 {}^{} }{3}  {(0)}^{2}  - 2

\qquad \tt \rightarrow \: f(0) =  0  - 2

\qquad \tt \rightarrow \: f(0) =   - 2

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0
2 years ago
Juan divided 1/2 jar of fish food into 7 equal parts. He feeds his fish one part each day.
amid [387]
1/14 is the correct answer
5 0
3 years ago
Read 2 more answers
What is the value of sin 0 given that (3-4) is a point on the terminal side of 0
Effectus [21]

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

<h3>How to get the sine of the angle?</h3>

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

8 0
2 years ago
3 a. It takes Adriana 20 minutes to walk 5 blocks to the library. Complete the table of equivalent ratios to show Adriana’s two
Dafna11 [192]

Answer:

It takes 4 minutes per block and she can walk 12.5 blocks in 45 minutes.

Step-by-step explanation:

20 / 5 = 4 minutes per block

20 + 20 + 5 = 45

5 + 5 + 2.5 = 12.5

Hope this helps, I did the test last year.

6 0
2 years ago
Other questions:
  • Which statement is best represented by the inequality c &gt; 3 1/2?
    12·2 answers
  • Can you help me with these two?
    14·2 answers
  • This table shows the number of different sized pipes that have been used at Highfield Builders in January.
    13·1 answer
  • 80% of what number is 15?
    5·1 answer
  • A poll asked 12 men in two age groups, 30 and younger and older than 30, whether they had facial hair (mustache, bears, sideburn
    6·1 answer
  • Which of the following is a quotient of the rational expressions shown here?
    15·2 answers
  • Answers 13-14 / AP Stats
    9·1 answer
  • 1. Suppose that out of 3030 gift cards in a
    5·1 answer
  • Find a. Write your answer in simplest radical form.
    7·1 answer
  • Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!