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KengaRu [80]
3 years ago
5

The tail of a 1-mile long train exits a tunnel exactly 3 minutes after the front of the train entered the tunnel. If the train i

s moving 60 miles per hour, how many miles long is the tunnel?
Mathematics
2 answers:
kow [346]3 years ago
7 0
60 mph is One mile a minute. So the train will start to exit the tunnel after 7 minutes. It will finish exiting the tunnel 1.5 mins later.
igomit [66]3 years ago
4 0

The tail of the train starts one mile from the mouth of the tunnel and it must travel that distance plus the length of the tunnel in 3 minutes.

 

Let t = tunnel length

 

t + 1  = distance the tail must travel in 3 minutes.

3 minutes = 1/20 hr

 

 (t+1) miles  /  60 m/hr  = 1/20 hr

t + 1 = 60/20

t+1 = 3

Subtract 1 from each side:

t = 2

The tunnel is 2 miles long.

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Answer:

x=3

Step-by-step explanation:

0 = x -3

-x = -3

change the sign to positive so x= 3

8 0
3 years ago
Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!
Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

=============================================

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

------------

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

------------

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

------------

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

------------

The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0
3 years ago
If I make $7.25 a hour and I work for three days how much money is that every two weeks
trasher [3.6K]

There are a couple of things you didn't mention. 
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.

Assumption #1:  Each day that you work, you work for 8 hours.

Assumption #2:  You work for three days each week.

If those assumptions are true, then you earn

  ($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks)  =

       ($7.25 x 8 x 3 x 2)  =  $348  before taxes and other deductions.

3 0
2 years ago
Read 2 more answers
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RUDIKE [14]
X=3 let me know if this is right ;)
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Answer:

134

Step-by-step explanation:

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6 0
3 years ago
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