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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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Ten times the square of a non-zero number is equal to forty times the number
S_A_V [24]
To convey as an algebraic expression simply break down the statements and use any variable to represent the number in the sentence.

10 • x^2 = 40x
10x^2 = 40x
10x^2 - 40x = 0
10(x^2 - 4x) = 0
X(x - 4) = 0

X = 0

X - 4 = 0
X = 4.

Here are two possibilities of what the number can be, but because it is a nonzero number, I believe it would be 4.
7 0
4 years ago
2. Write 6.07 x 10^7 in standard form <br><br> Please help me .
lina2011 [118]

Answer:

60,700,000

Step-by-step explanation:

⇒10⁷ = 10000000

∴6.07 x10000000

=60,700,000

6 0
3 years ago
Pam and her sister have a pattern of saving money. Pam saved 40 dollars and her brother saved 100 dollars.
Keith_Richards [23]

Answer:

true

Step-by-step explanation:

Pam saved 40

her bro saves 100

let us take this as ration 40 is to 100 which can also be written in fractional for like 40/100 now we simplify it how by dividing both by 20 so (40/20)/(100/20) which will give 2/5 which can be written as 2 is to 5 so this is true

8 0
3 years ago
Read 2 more answers
Which table of values corresponds to the graph below?
Karolina [17]

The correct answer is the second answer choice.  It is the one that starts with (0,-2).

6 0
3 years ago
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The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the
Fofino [41]
I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.

<span>The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger. 

</span><span>The greater number is 9 more than the smaller number.  -----> y = x + 9 

x + ( x + 9 ) = 47</span>
5 0
4 years ago
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