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3 years ago

Factor each completely 3r^2+7r

2 answers:

7 0

Hello! And thank you for your question!

First you are going to find the GCF:

GCF = r

Then factor out the GCF:

r (3r^2 over r + 7r over r)

Then simplify what is in the parentheses:

r(3r + 7)

Final Answer:

r(3r + 7)

DaniilM [7]3 years ago

3 0

Factor each completely 3r^2+7r
r(3r+7)

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3 years ago

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Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

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Thus, there are 28 fruits in each pile.

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3 years ago

Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of hi

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Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

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$\frac{256+2x}{5}=90$ . Multiply both sides by 5 to get

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2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.

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3 years ago

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3 years ago

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