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Natali5045456 [20]
3 years ago
8

David is watching maria and alma race electric trains around track. Maria train can go around the track in 10 seconds. Almas tra

ins can go around the track in 12 seconds. Davids wonders, if the trains start qt the same time, how many seconds will it take for both trains to cross the finish line together the first time? Complete the explanation for how david can answer his question.Use qords and phrases from the box to fill in the blanks
Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

60 seconds.  

Step-by-step explanation:  

We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.

To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.  

Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...    

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..  

We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.

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Answer:

2x+12=24

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2x+12=24

-12. -12

The 12-12 should cancel itself, the rest of the equation you bring down to get

2x=12 (because 24-12=12)


Now you have 2x=12.
you then divide 2x by both sides.

2x=12

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The 2x/2x cancels itself out so you then solve for 12/2x.

For this you just divide 12/2 which is 6!

x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!


hope this helps! :D

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Question is Incomplete; Complete question is given below;

Mr. Lin hires a moving company to help transport furniture to his new home. The bill from the moving company is $400. Mr. Lin includes a 15% tip with his payment.

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Answer:

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