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V125BC [204]
3 years ago
7

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at miles 90 per

hour. The westbound train travels at miles 80 per hour. How long will it take for the two trains to be 204 miles apart?
Mathematics
1 answer:
algol [13]3 years ago
8 0
So the eastbound train travels at 90 miles per hour in the complete opposite direction to the westbound equivalent, which travels at 80 miles per hour. Therefore, per hour, they get 170 miles away from each other. Since we are working out how long it would take for them to be 204 miles apart:

204 / 170 = 1.2 Hours, or 1 hour and 12 minutes.

Hope I helped!
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ser-zykov [4K]

Answer:

x=9

Step-by-step explanation:

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3 years ago
write a problem involving addition subtraction multiplication or division of integers and include the answer
jenyasd209 [6]
7+(-3)=4
Because positive and negative remains a negative or u keep the sign of the larger number the answer would be 4. Hope this helps
8 0
3 years ago
Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees
valentina_108 [34]

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

3 0
3 years ago
Evaluate the following expression for w=4. w^-3 =
slega [8]
W^-3
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1/64.

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6 0
3 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
ohaa [14]

Answer:

See the proof.

Step-by-step explanation:

<u>Statement     </u><u>                                                         </u><u>   Reason</u>

1.∠1 and ∠2 are supplementary angles     ---           Given  

2. m∠1 + m∠2 = 180°     ---                  Linear pair, they are supplementary                                

3. m∠1  and m∠3 are supplementary angles --  m∠1 + m∠3= 180

                                                                              (Supplementary angles add upto 180 degrees)  

4.  m∠1 and m∠3           ------                                 Exterior sides in opposite rays

5.   m∠1 + m∠2 = m∠1 + m∠3  ------                       Transitive property  

6.    m∠2 = m∠3                     --------------                Subtraction  property

7.   l || m  ------------- If two lines are cut by transversal the alternative interior

                               angles are the same, then the lines are paralle.

Thank you.

4 0
3 years ago
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