All categories

3 years ago

Write 24 as a product of primes.Use index notation when giving your answer.

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

<em>To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.</em>

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3 3 is not divisible by 2, so we move on to 3.

3/3 = 1 We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

You might be interested in

How much paint is needed to paint the front of the house

9966 [12]

Answer:

264ft^2

Step-by-step explanation:

First find the area of the body of the house which is the rectangle.

18*12=216

Then find the are of the triangle or roof given by 1/2(b)(h)

1/2(12)(10)=60

Then Find the area of the window which is 3*4=12 and subtract 12 from 60 to find the area of the roof with the window.=48

Add 48 the roof and 216 the rectangle to get total painted area. =264 ft^2

6 0

3 years ago

Read 2 more answers

! 25 points ! a) 68 is what percent of 80? b) 88.83 is 423% of what? c) 36.8% of what number is 28.52? d) What number is 95% of

Simora [160]

Step-by-step explanation:

Let the number to be found be x

68 is what percent of 80 is written as

$\frac{x}{100} \times 80 = 68$

Multiply both sides by 100

We have

80x = 6800

Divide both sides by 80

we have the answer as

x = 85

<h3>Therefore the percentage is 85%</h3>

Let the number be x

88.83 is 423% of what is written as

$\frac{423}{100} x = 88.83$

Multiply through by 100

We have

423x = 8883

Divide both sides by 423

We have the answer as

x = 21

<h3>The number is 21</h3>

Let the number be x

36.8% of what number is 28.52 is written as

$\frac{36.8}{100} x = 28.52$

Multiply through 100

We have

36.8x = 2852

Divide both sides by 36.8

We have the answer as

x = 77.5

<h3>The number is 77.5</h3>

What number is 95% of 40 is written as

$\frac{95}{100} \times 40$

We have the final answer as

Hope this helps you

7 0

3 years ago

eduardo baked 150 muffins 1/5 of the muffins are banana 1/2 of the muffins are blueberry the rest are strawberry, how many muffi

marissa [1.9K]

Answer:

45 strawberry muffins

Step-by-step explanation:

In order to solve this equation you are going to have to multiply 150 by 1/5 bananas and 1/2 blueberry in order to get how much strawberry muffins were made. So first we are going to convert 1/5 and 1/2 into decimals:

1/5 = 0.2

1/2 = 0.5

Now we are going to multiply 0.2 and 0.5 by 150 in order to figure out how much banana and Blueberry muffins were made:

0.2 * 150 = 30

0.5 * 150 = 75

So 30 banana muffins were made and 75 blueberry muffins were made, now that we know this we are going to add 30 and 75 together and subtract the answer from 150. THe reason we are subtracting 75 + 30 from 150 is because we are trying to segregate the strawberry muffins from the total number:

75 + 30 = 105

now we subtract:

150 - 105 = 45

So the number of strawberry muffins made was 45.

I hope this helps.

3 0

3 years ago

Read 2 more answers

Given: KLMN is a trapezoid, m∠N= m∠KML, FD=8, LM KN = 3/5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3 root5 Find: KM

Alla [95]

Answer:

The length of KM is $\sqrt{109}$ units.