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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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several friends each had 2/5 of a bag of peanuts left over from the baseball game.they realized that they could have bought two
aleksandrvk [35]

Answer:

5 friends.

Step-by-step explanation:

Let x be the number of friends,

Since, each had 2/5 of a bag of peanuts left over,

Thus, the total numbers of bag left = 2/5 of the number of friends,

=\frac{2}{5}x

According to the question,

\frac{2}{5}x=2

\implies x = 5

Hence, there were 5 friends.

7 0
3 years ago
Read 2 more answers
Arrange the numbers in decreasing order of their values.
FinnZ [79.3K]

Answer:

The numbers in decreasing order of their values are:

\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is \sqrt{37}, we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

\sqrt{37}=6.0828

The second number is a fraction, in decimal form will be:

\cfrac{19}{3}= 6.3333

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

6.3333... > 6.0828...>6.08171...>6.012

Lastly we can write the decreasing order using the numbers on their original form.

\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012

8 0
4 years ago
Please i wil give you 5 star if you answer this question
Dmitrij [34]

Answer:

{4,5}

Step-by-step explanation:

4+1=5    5>4

5+1=6    6>4

4 0
2 years ago
Read 2 more answers
In a particular week a man receives 909.50 but 229.50 was for a overtime. If he works a basic week of 40 hours and overtime is p
Airida [17]
Total salary = 909.50
Out of this, overtime salary was = 229.50

Normal salary for 40 hours was = 909.50 - 229.50 = 680

Hourly rate = 680/40 = 17

Overtime is time and half = 17 + 17/2 = 17 + 8.5 = 25.5

Number of overtime hours = 229.50/25.5 = 9 hours
8 0
3 years ago
The sales tax in one town is 8%, So, the total cost of an item can be written as c + 0.08. What is the total cost of an item tha
JulsSmile [24]
First you would want to figure out how much tax would be 

127 × 0.08 = 10.16

Then you add the tax to the original price 

10.16 + 127 = 137.16 

And now you have the total cost of the product

137.16
7 0
3 years ago
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