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ch4aika [34]
3 years ago
6

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

d spent $7.50 on a ticket. How much money did each boy have left after buying his ticket? Write and solve an equation that represents he situatio.
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

x = (40/4)-7.50

x= (10)-7.50

x = 2.50

Step-by-step explanation:

each boy had 2.50 left after the movie because miguel went with 3 other boys, which makes four of them all together. If they had forty dollars all together and all had the same amount of money, you can determine that amount by dividing forty(total money) by 4(number of boys). Which gets you to the answer of ten dollars each. Then you subtract the ticket cost(7.50) from 10 dollars, which gets you to 2.50 left over.

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The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence a_{n}=2a_{n-1}

where a_{1}=3 to find them do that

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  • Substitute n by 4 in the rule to find a_{4}

∵ a_{n}=2a_{n-1}

- Substitute n by 2 to find the 2nd term

∴ a_{2}=2a_{2-1}

∴ a_{2}=2a_{1}

∵ a_{1}=3

∴ a_{2}=2(3)

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∴ a_{3}=2a_{3-1}

∴ a_{3}=2a_{2}

∵ a_{2}=6

∴ a_{3}=2(6)

∴ a_{3}=12

- Substitute n by 4 to find the 4th term

∴ a_{4}=2a_{4-1}

∴ a_{4}=2a_{3}

∵ a_{3}=12

∴ a_{4}=2(12)

∴ a_{4}=24

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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