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Murrr4er [49]
2 years ago
12

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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€151.40 would be the outcome i believe
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3 years ago
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What’s 4x+2[4-2(x+2)]=2x-4 solve for x
Tom [10]

the answer is x=2 hope this helps :)

4 0
3 years ago
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Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the sto
zlopas [31]

Answer:

<h2>19.99(x+3)+ 14.99(y+4)</h2>

Step-by-step explanation:

Step one:

given data

day one

x shirts that cost $19.99 each and

y pairs of shorts that cost $14.99 each.

Day two

3 more shirts that cost $19.99 each and

4 more pairs of shorts cost $14.99 each.

Step two:

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x+3

and the total number of shorts is

y+4

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19.99(x+3)+ 14.99(y+4)

7 0
3 years ago
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The consecutive angles of a parallelogram measure (x+30) and 4x°. What is the measure of the smallest
Sophie [7]

Answer:

60

Step-by-step explanation:

180=(x+30)+(4x)

Ok, combine like terms. That'll give you

180=5x+30.

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6 0
3 years ago
A man comes into a store and steals $100 from the register without the owner knowledge. Comes back and buys $70 worth of stuff a
emmainna [20.7K]

Answer

The owner lose is $100 .

Reason

As given

A man comes into a store and steals $100 from the register without the owner knowledge.

Comes back and buys $70 worth of stuff and the owner gives him $30 in change.

i.e First man steals $100  than give back to owner when he buys  $70 worth of stuff and  the owner gives him $30 in change.

Therefore the total owner lose is the sum of  $70 worth of stuff and  $30 in change.

Total owner lose = $70 + $30

                            = $100

Therefore the owner lose be  $100 .

Hence proved


4 0
3 years ago
Read 2 more answers
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