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Yakvenalex [24]
3 years ago
13

37 is 60% of what number?

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

61 2/3 = n

Step-by-step explanation:

Is means equals and of means multiply

37 = 60% * n

37 = .60n

divide each side by .60

37 / .60 = .60n/.60

61.6666666 repeating = n

61 2/3 = n

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Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
2 years ago
What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a frac
vekshin1

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

4 0
3 years ago
Help if u have a heart
lina2011 [118]

Answer:

24

Step-by-step explanation:

subtract  90-66

4 0
3 years ago
How would you come up with 2.5 from 2 1/2 hours in fraction and how would you come up with 4.5 from 414 in hours and fractions
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The clock breaks down to a different number sequence 2 B .5 it would be half past the hour 15 minutes past the hour would be 1 / 4 or .25
3 0
3 years ago
What is the simplest form of 19/100?
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Is is literally 
19/100
there is no simpler value
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3 years ago
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