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MissTica
3 years ago
5

The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \

[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

Maximum =  756

Minimum =  600

Step-by-step explanation:

A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.

And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:

(1 + 3 + 5 + 8 + 10) ×  (2 + 4 + 6 + 7 + 9) = 756

At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:

(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600

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Answer:

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Step-by-step explanation:

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Hope it helped :)

8 0
2 years ago
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If a tabletop has a diameter of 35 inches, what is the approximate circumference of the tabletop? The answer choices are A 600 i
In-s [12.5K]

Answer:

B 110

Step-by-step explanation:

The formula for circumference is C= pi × d

(I couldn't find the symbol for pi)

You would plug in 35 for d to solve. You get a long decimal so you round it to 110.

So the approximate circumference for the tabletop is 110 inches.

3 0
3 years ago
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The floor of a shed has an area of 108 ft. The floor is a rectangle whose length is 6 feet less than twice the width. Find the w
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A = L x W

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Answer:

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Step-by-step explanation:

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