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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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Rafael has a bag of marbles. There are 5 green marbles, 6 red marbles, and 4 white marbles, Rafael picks a marble out of the bag
Llana [10]

Answer:

10/15 or 2/3

Step-by-step explanation:

15 marbles and if you add 6 red and 4 white that is 10 out of 15 marbles

6 0
3 years ago
If the perimeter of vectangle wall is 360 cm and its breath is 60cm. Find its length and also find the totalt cost of painting t
alexdok [17]

Answer:

<u>Rs. 72</u>

Step-by-step explanation:

We have 2 values here,

  • Perimeter of the rectangle = 360 cm
  • Breadth of the rectangle (b) = 60 cm.

Firstly, we must find the length of the rectangle (l).

So, according to the formula,

Perimeter = 2 (b + l)

360 = 2 (60 + l)

360 = 120 + 2l

360 - 120 = 2l

240 = 2l

120 cm = l

Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².

So,

Area = lb

Area = 120 × 60

Area = 7,200 cm²

Let's convert it to m² now,

7200/1000

= 7.2 m²

Given, cost of painting per m² = Rs. 10

So, the cost of painting the wall is,

10 × 7.2

= <u>Rs. 72</u>

<u>________________________________</u>

Hope it helps!

\mathfrak{Lucazz}

3 0
3 years ago
NEED ASAP
frez [133]

Answer:

3 over 12

Step-by-step explanation:

3 over 12

8 0
3 years ago
Read 2 more answers
Which number is NOT written in scientific notation? 8.7 × 10–5 3 × 10–8 25.67 × 10–2 6.7 × 103
alexandr1967 [171]

Answer:

26.67X10^-2 would be incorrect since the decimal is in the wrong place.

Step-by-step explanation:

6 0
3 years ago
Find the missing b for a trapezoid with a=68, h=4, b=21
MAVERICK [17]

We will have to use the formula for the area of a trapezoid on this problem, which is (b_1 and b_2 are the bases of the trapezoid and h is the height):

\dfrac{b_1 + b_2}{2} \cdot h


All we need to do is substitute the information we are given into our formula:

\dfrac{21 + b_2}{2} \cdot 4 = 68


Now, let's just simplify the equation:

\dfrac{21 + b_2}{2} \cdot 4 = 68

\dfrac{21 + b_2}{2} = 17

21 + b_2 = 34

b_2 = 13


The missing base has a length of 13 units.

4 0
4 years ago
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