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3 years ago

Why is it helpful to write a number as a product of primes

1 answer:

5 0

Because if you are multiplying or dividing, you can regroup numbers to make it easy so exg
80 times 45 might look scary but it is really 2 times 2 times 2 times 2 times 3 times 3 times 5 times 5
regroup to make
(2 times 5) times (2 times 5) times (2 times 2 times 3 times 3)=10 times 10 times (6 times 6)=10 times 10 times 36=3600

dividing
188/132
188=2 times 2 times 47
44=2 times 2 times 3 times 11
so it becomes (2 times 2)/(2 times 2) times (47/(3 times 11))=1 times 47/33=47/33

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Which expression is equivalent to 60x^20y^24/30x^10y^12 ?

olganol [36]

Answer:

2x^(10)y^(12)

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Answer:

D. a complex sentence

Step-by-step explanation:

A. is incorrect because it does not include a conjunction to connect the two sentences.

B. is incorrect because the sentence is not asking a question.

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D. is correct because a complex sentence includes and independent clause(elizabeth likes to trek with her friends during the weekend) and a dependent clause( which is also a great way to socialize and stay fit)

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3 years ago

The mean of the values in a data set is c. If each of the values in the data set were multiplied by 6, what would be the mean of

oksian1 [2.3K]

Answer:

Mean of the data would be 6c

Step-by-step explanation:

<u>Rule to Remember:</u> Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.

In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c

Let us consider that original values in the data set are x, y and z. Their mean would be:

$Mean=\frac{x+y+z}{3}$

If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:

$Mean=\frac{6x+6y+6z}{3}\\Mean=\frac{6(x+y+z)}{3}\\Mean=6\times\frac{x+y+z}{3}\\Mean=6c$

We can see from above that the new mean is 6 multiplied to the original mean.

Therefore, the answer to this question is 6c.

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3 years ago