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2 years ago

What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.

1 answer:

3 0

The nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The number nearest to 10000 is exactly divisible by 3, 4, 5, 6, 7, and 8.

TO find the number:

Find the LCM of 3, 4, 5, 6, 7, and 8:

LCM = 760

= 10000/760

There are two possibilities:

= 10000 - 760 = 9240

or 10000 + (840 - 760) = 10080

The nearest number = 10080

Thus, the nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

Learn more about the LCM here:

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What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21

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The linear equation that is perpendicular to the line x+3y=21 is:

y = 3*x - 6

<h3>How to find the equation of the line?</h3>

A general line in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the two slopes is equal to -1.

Rewriting the given line we can get:

x +3y = 21

3y = 21 - x

y = 21/3 - x/3

y = (-1/3)*x + 21/3

Then the slope is (-1/3), if our line is perpendicular to this one, then:

m*(-1/3) = -1

m = 3

our line is:

y = 3*x + b

To find the value of b, we use the fact that our line passes through (1, - 3)

-3 = 3*1 + b

-3 - 3 = b

-6 = b

The line is y = 3*x - 6

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1 year ago

A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the m

melisa1 [442]

To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:

Theoretical Probability = 6,670 / 40,000

Theoretical Probability = 0.16675 = 0.17

From the given choices, the list of words which can give this similar amount of probability is:

“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”

In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:

Sample probability = 4 / 20

<span>Sample probability = 0.20</span>

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3 years ago

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The table shows values for functions f(x) and g(x) .

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Answer:

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Step-by-step explanation:

all you have to do is replace the letters with numbers and

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3 years ago

What tables could be used to verify that the functions they represent are inverses of each other? Select two options

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Answer: B and E

Step-by-step explanation:

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The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width. What is the perimeter of the rectangle

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A perimeter of a rectangle is:
$2(l+w)$

They give you the width, but let's convert it to an improper fraction first:
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The length is twice the width so it is:
$\frac{20}{3}*2 = \frac{40}{3}$

Now, we are ready to solve, plug in values in the perimeter formula:
$2( \frac{40}{3}+ \frac{20}{3}) = 2(\frac{60}{3}) = \frac{120}{3} = 40$

So, 40 is your answer.

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3 years ago