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3 years ago

What is the greatest common factor of 30a^2b^4 and 24ab^3

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

Answer:

the GCF is 6ab^3

greatest common factor

zimovet [89]3 years ago

5 0

30.a².b⁴ and 24.a.b³

1st: 30 in prime factor = 2x3x5
2nd: 24 in prime factor = 2³ x 3

Greatest Common Factor = common factor to 1st and 2nd raised at lowest exponents:
= 2 x 3 = 6

Now same principle for a².b⁴ and a.b³: Greatest Common Factor =a.b³

At last the Greatest Common Factor of 30.a².b⁴ and 24.a.b³ = 6ab³

Prove: 30.a².b⁴ / 6ab³ = 5a.b

and 24a.b³ / 6a.b = 6b²

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3 years ago

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Which sentence explains the correct first step in the solution of this equation? <br> 4(3+x)=9

QveST [7]

Answer:

Multiply 4(3+x)

Step-by-step explanation:

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4 years ago

If the probability of being hospitalized during a year is 0.15 find the probability that no one in the family of 4 will be hospi

Goryan [66]

The probability that no one in the family of 4 will be hospitalized during a year is 0.52

Step-by-step explanation:

The probability for a person to be hospitalized during one year is

$p(h)=0.15$

As a consequence, the probability for a person of NOT being hospitalized during one year is

$p(h^{-1})=1-0.15=0.85$

If we have 4 people in the family, the probability of each of them of NOT being hospitalized during the year is independent from the probability of the others - therefore, these are independent events. This means that the total probability of the 4 people of not being hospitalized during a year is:

$p(h^{-1})^4=(0.85)^4=0.52$

So, the probability that no one in the family of 4 will be hospitalized during a year is 0.52.

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3 0

3 years ago

What is the gcf of 187 and 578

Finger [1]

It is 17 if you do the math and do the multiples of 187 and 578

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3 years ago

Y and Z are vertical angles <br> Y=(2X + 7)<br> Z=(4X - 17)<br> value of x

Yuki888 [10]

Vertical angles are equal to each other, so to solve this, you can set the angle measures equal to each other and solve for x.

Z = Y Replace X and Y with their values
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4x = 2x + 24 Subtract 2x from both sides
2x = 24 Divide both sides by 2
x = 12

6 0

4 years ago