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damaskus [11]
3 years ago
11

Let m be the side length of the fourth smallest possible square with integer value of its area, and let n be the sum of all prim

e numbers less than 10. Find MN(N-M).
Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

510

Step-by-step explanation:

It's assumed 0 is not an integer.

M is obviously 2. The area of a square is the square of its side length. If this area must be an integer, then it must be the fourth integer, which is 4. The side length, M=\sqrt{4} = 2

A prime number is a positive integer which can be divided exactly by only itself and 1. In fact, it has only those two factors. The last statement excludes 1 as a prime number. Hence, the prime numbers less than 10 are 2, 3, 5 and 7. Their sum is N=2+3+5+7=17.

To evaluate MN(N-M),

2\times17(17-2)=34\times15=510

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9 mm on the drawing represents 1000 mm on the house.

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3 years ago
Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to
Sidana [21]

Answer:

It will take them both 24 minutes to mow the lawn if they are working together.

Step-by-step explanation:

Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:

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3 years ago
Which reason justifies step 2 in the proof
tigry1 [53]
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Answer:

Step-by-step explanation:

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Now, one slice is \frac{1}{8} of the entire pizza. So, we would have:

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<h2><u><em>HOPE THIS HELPS!!!!!!!!</em></u></h2>
8 0
2 years ago
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Answer:

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