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Vedmedyk [2.9K]
3 years ago
6

What is the prime factorization of 65​

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

<u>Answer: </u>

Prime factorization of 65 is 5 \times 13

<u>Solution: </u>

Need to find the prime factorization of 65.

Prime factorization is finding all the prime factors of 65.

Method is to take prime number one by one . check whether the given number is divisible by the  prime number till you get all the prime factors  of given number.

In our case number is 65 . since given number 65 is not divisible by first two prime number that are 2 and 3 , divide 65 by third prime number = 5  

\frac{65}{5} = 13

That means 65 = 5 \times 13

Now if you see, both factors that are 5 and 13 are prime numbers.  

So prime factorization of 65 is 5 \times 13

Gnoma [55]3 years ago
5 0

65 has factors of 5 and 13

5•13
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How many times can 4 go into 75
Arisa [49]

Answer:

solve using long division.

75/4

what is the largest whole number smaller than 75 that 4 can go into?

72.

how many times can 4 go into 72?

18.

so then subtract 72 from 75 to get 3.

the new equation is

3/4

how many times can 3 go into 4?

0.75 times.

so add the 2 answers to get

18.75

4 can go into 75 18.75 times.

8 0
3 years ago
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A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
Given: 3x+7+2(4x+1) = 3(x-1) -4 prove: x=-2
denis23 [38]

Answer:

x = -2, proven below.

Step-by-step explanation:

3x + 7 + 2(4x+1) = 3(x-1) - 4

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16 + 11x = 3x

16 = - 8x

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7 0
3 years ago
3k - 2c + 8<br> use k = 7 and c = 4
Inga [223]

Answer:

21

Step-by-step explanation:

3 (7) - 2(4) + 8

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13 + 8

21

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The mean (average) of 4 numbers is 88.
adoni [48]
Here is your answer mate✌️

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