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3 years ago

Determine the prime factorization of 24.

Mathematics

1 answer:

Elden [556K]3 years ago

8 0

Answer:

2;12

1;2 and 2;6

1;2 and 2;3

Step-by-step explanation:

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The price of a DVD, including 5% sales tax is $21.15. What us the price of the DVD, before sales tax?

AfilCa [17]

Answer:

20.14

Step-by-step explanation:

21.15 - 5%(1.01) = 20.14

6 0

3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0

1 year ago

A student claims that 8^3 • 8^5 is greater than 1 explain whether the student is correct or not

WARRIOR [948]

In order to answer this question the parts must be broken down: 8^3 is 8*8*8 which equals 512 and 8^5 is 8*8*8*8*8 which equals 32761. 512*32761 equals 16777216. 167772176 is greater than 1.

7 0

3 years ago

Read 2 more answers

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on five numbers pays 6 to 1 (that is, if one of the five numbers

tatiyna

Answer:

5 cents

Step-by-step explanation:

So the roulette wheel would have a total of 38 numbers, which means 38 different possible cases. Since you are allowed to bet on 5 numbers, the chance to win this is 5 out of 38 and to lose this is 33 out of 38.

If you win, you get 1 + 6 = 7 dollar, and if you lose, you lose 1 dollar.

Therefore the expected amount out of this game is:

$E = 7\frac{5}{38} - 1\frac{33}{38} = \frac{35}{38} - \frac{33}{38} = \frac{2}{38} = \frac{1}{19} = \$0.0526$

or 5 cents

7 0

3 years ago

Please answer soon!

pav-90 [236]

The figure is NOT unique.
Imagine the following quadrilaterals:
Rectangle
Square
We know that:
Both quadrilaterals have at least two right angles.
However, they are not unique because they depend on the lengths of their sides.
Answer:
The figure described is not unique.

3 0

3 years ago

Read 2 more answers