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3 years ago

Skill 3 prime factorization

Mathematics

1 answer:

slega [8]3 years ago

6 0

Explanation:

Prime factorization says that, if a number is prime then the only way it can be factored is, 1 times the number itself.

But if the number is composite, it can be expressed as a product of prime factors. This method is called prime factorization.

For example: 12 is a composite number, it can be written in the form of prime factorization as,

$12 = 2 \times 2 \times 3$

Here we can see that 12 is expressed as the product of primes only. This is called prime factorization.

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Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe

Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = $2.3\times 20 + 3\times 10$ =$76

8 0

3 years ago

Describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )

Serggg [28]

-2x + 6 + 6x = 6 (2x - 3) this is the equation

-2x + 6 + 6x = 12x - 18 distributive property has been applied

4x + 6 = 12x - 18 like terms have been added

6 = 8x -18 4x has been subtracted from both sides

24 = 8x -18 has been added to both sides

3 = x 8 has been divided from both sides

I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!

5 0

3 years ago

Ari decides to run 8.5 kilometers this weekend. He jogs 8.9 laps around the running track on Saturday. How many more kilometers

Eduardwww [97]

Answer:

D. y = 8.9 ÷ 0.4

Step-by-step explanation:

I hope this helps

7 0

3 years ago

Carlos jogged 5 laps around the school track in 8 minutes. What was his average speed in laps per minute? lap(s) per minute PLEA

aleksklad [387]

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

5 0

3 years ago

Nadusha1986 [10]

Answer:

Step-by-step explanation:

(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)

6 0

3 years ago