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2 years ago

7) State the prime factorization of 30.

Mathematics

1 answer:

polet [3.4K]2 years ago

5 0

Answer:

$30=2\: *3\:*5$

Step-by-step explanation:

We analyze between which prime numbers we can divide the number 30. The smallest prime number by which we divide is 2. Then:

$\frac{30}{2}=15$

We now look for the smallest prime number that divides the 15. Since 15 is not a multiple of 2, we make the division with the number 3 that is divisor of 15.

$\frac{15}{3}=5$

We now look for a number that divides to 5, but since 5 is a prime number, the only divisor other than 1 is 5. Then:

$\frac{5}{5}=1$

This ends the decomposition of 30 and we find 3 prime factors:

2,3 and 5.

You might be interested in

8/16 reduced equals what?

Veronika [31]

$\frac{8}{16}=\frac{\not8^1}{2\times\not8_1}=\frac{1}{2\times1}=\boxed{\frac{1}{2}}$

5 0

2 years ago

What is the value of this expression (29+18)+(17-8) / 8

Vsevolod [243]

<h3>Answer:</h3>

48 1/8

<h3>Step-by-step explanation:</h3>

As written, it is evaluated as ...

... 47 + 9/8 . . . . . . . . parentheses are evaluated first

... = 47 + 1 1/8 . . . . . . then division

... = 48 1/8 . . . . . . . . then addition

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A decent calculator will evaluate this for you according to the order of operations. A Google or Bing search box will do that, too.

7 0

2 years ago

Which equation demonstrates the multiplicative identity property?

Anna007 [38]

The equation $\boxed{a + b = a = b + a}$ demonstrates the multiplicative identity.

Further explanation:

The equation that satisfies the condition of multiplicative identity for the complex number can be represented as,

$a \times b = a = b \times a$

Here, $a$ is the multiplicative identity and it can be observed that the multiplicative identity would be 1 where $b$ is the complex number.

The equation that satisfies the condition of additive identity for the complex number can be represented as,

$a + b = a = b + a$

Here, $a$ is the additive identity and it can be observed that the additive identity would be 0 where $b$ is the complex number.

Consider an example $\left( { - 3 + 5i} \right) + 0 = - 3 + 5i$ .

It can be observed that the equation $\left( { - 3 + 5i} \right) + 0 = - 3 + 5i$ satisfies the condition of the additive identity as 0 is the additive identity.

Consider an example $\left( { - 3 + 5i} \right)\left( 1 \right) = - 3 + 5i$ .

It can be observed that the equation $\left( { - 3 + 5i} \right)\left( 1 \right) = - 3 + 5i$ satisfies the condition of the multiplicative identity as 1 is the multiplicative identity.

Here, $a{\text{ is }}\left( { - 3 + 5i} \right)$ by comparing the general equation $a \times b = a = b \times a$

Therefore, the second example $\left( { - 3 + 5i} \right)\left( 1 \right) = - 3 + 5i$ demonstrates the multiplicative identity.

Thus, in general the equation $a + b = a = b + a$ demonstrates the multiplicative identity.

Learn more:

Learn more about the function is graphed below brainly.com/question/9590016
Learn more about the symmetry for a function brainly.com/question/1286775
Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Arithmetic properties

Keywords: Multiplication, multiplicative identity, equation, additive identity, condition, conjugate, arithmetic properties, sum, operation, real numbers.

3 0

2 years ago

Read 2 more answers

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a

Mariana [72]

Answer:

Formula: (cost of ticket + cost of popcorn) * # of friends = total cost

Which would give us (8 + x) * 5 = 62.5

Solve for x.

8 + x = 12.5 {divide each side by 5}

x = 12.5 - 8

x = 4.5

Each small bag of popcorn costs $4.50.

hope this helps!

4 0

2 years ago

The distance from Elena's chin to the top of her head is 150 mm in an imag

ollegr [7]

The height of the image of the ditance from Elena's chin to her head after it has been scaled 80% 3 times is 76.8 mm

<h3>What is the height of the image after it has been scaled?</h3>

When an image is scaled, it means that its dimensions have been reduced by a certain percentage. In this question, the image is reduced by 80%.

The height of the image after it has been scaled = 150 x 0.8^3 = 76.8 mm

To learn more about scale drawings, please check: brainly.com/question/26388230

7 0

1 year ago