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2 years ago

What is the smallest positive integer $n$ such that $3n$ is a perfect square and $2n$ is a perfect cube?

Mathematics

1 answer:

Agata [3.3K]2 years ago

6 0

Answer:

108

Step-by-step explanation:

Since 3n is a perfect square, that means that n has to be a multiple of 3. Since 2n is a perfect cube, then n has to be divisible by 2^2=4. Since n is a multiple of 3, then n also has to be divisible by 3^3=27. Therefore, the smallest value for n is 4*27=108.

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Rasek [7]

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3 years ago

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3 years ago

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Everett drove his motorcycle 16 miles in 4/5 of an hour. If he continue to drive at this rate how many miles would he drive in a

Elenna [48]

Answer:

20 miles in an hour.

Step-by-step explanation:

4/5=0.8

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3 years ago

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ddd [48]

Answer:

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Step-by-step explanation:

Since he starts off with 300 cards, the equation must have +300 units. As he purchases 40 each week, the rate of change is 40w. Since his goal is over 700, look for >700.

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4 years ago