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xz_007 [3.2K]
3 years ago
6

Determine the prime factorization of 24.

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

24

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

#SPJ4

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
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