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Paul [167]
3 years ago
6

Quincy is going on a vacation to Australia. His flight leaves at 9:50 A.M. It takes 20 minutes to get to the airport, and Quincy

wants to be at the airport 1 hour and 5 minutes before his flight leaves. What is the latest time that Quincy can leave for the airport?
Mathematics
2 answers:
Leto [7]3 years ago
8 0

Answer: the latest time is 8:25 AM

Step-by-step explanation:

It takes 20 minutes to get to the airport. If Quincy wants to be at the airport 1 hour and 5 minutes before his flight leaves, it means that the maximum amount of time that Quincy has before left before she gets to the airport is

1 hour + (20 + 5) minutes = 1 hour 25 minutes.

His flight leaves at 9:50 A.M. This means that the latest time that Quincy can leave for the airport would be 9:50 A.M. - 1:25

= 8:25 AM

ikadub [295]3 years ago
4 0

If it takes 20 minute to get to the airport, and he wants to be there an hour and 5 minutes before his flight leaves, we have to subtract the time he leaves (9:50) by 1 hour and 5.

9:50 - 1 hour and 5 minutes.

9:50 - 65 minutes.

9:50 - 65 = 8:45.

Which means he must be at the airport at 8:45.

BUT,

The question is asking for the latest time that Quincy can LEAVE for the airport, which means it's 8:45 - 20 minutes, since it takes 20 minutes to get to the airport:

8:45 - 20 = 8:25

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Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

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x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

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Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

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If it is not zero it will be minus and that will subtract from 484

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xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


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