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lutik1710 [3]
2 years ago
7

Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. How many prime numbers are divisors of $6n$

Mathematics
1 answer:
zvonat [6]2 years ago
6 0

The number of prime divisors of "6n" is 2 numbers 2 and 3

Given

"n"  = 6    

thus 6n  = 6(6) = 36

The positive divisors are   1, 2, 3, 4, 6, 9, 12, 18 and 36

So, the number of prime divisors of "6n" is 2 numbers 2 and 3.

The prime factors of a positive integer are the top numbers that divide that integer exactly. The technique of finding those numbers is known as integer factorization or prime factorization.

The fundamental theorem of mathematics says that every positive integer has a completely unique prime factorization.

Learn more about prime factorization here: brainly.com/question/1081523

#SPJ4

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What is the solution to this system of linear equations 3x-2y=14 5x+y=32 brainly
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Step-by-step explanation:

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3 years ago
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Ray wants to buy an item worth $500. Which option is the most cost-effective?
LuckyWell [14K]

Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.

In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.

In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.

The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.


So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.

So the third option is the most cost-effective, buying the item at $454.

Hope this helps! :)

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Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
Alexxandr [17]

Answer:

\%Percent = 30 \%

Step-by-step explanation:

Given

Shaded = 6\ cubes

Box = 5\ x\ 4

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

Box = 5\ x\ 4

Express as multiplication

Box = 5\ *\ 4

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This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

\%Percent = \frac{Shaded}{Box} * 100\%

\%Percent = \frac{6}{20} * 100\%

\%Percent = \frac{6* 100}{20} \%

\%Percent = \frac{600}{20} \%

\%Percent = 30 \%

<em>30% were shaded</em>

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