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3 years ago

I need help with my HW How can you tell without doing division if a number is a multiple of 6?

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Answer:

The prime factors of 6 are 2 and 3. So for a number to be divisible by 6, it must also be divisible by 2 and 3. So you need to check if the number is even and then check if the sum of the digits is divisible by 3.

Step-by-step explanation:

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Anne needs 2 kinds of fruits to prepare a fruit salad. She has 6 kinds of fruits to choose from. In how many ways can she choose

Y_Kistochka [10]

There are 15 ways she can choose the fruits. Since order is not important, this is a combination.

The combination is given by
$_6C_2=\frac{6!}{2!4!}=\frac{720}{48}=15$

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3 years ago

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Find the perimeter. 15 in. 8 in. 12 in. 9 in. 14 in.

seropon [69]

Perimeter is the sum of the lengths of all the side.

The lengths of all the sides are: 15, 14, 12, 9, 8

Add them up and you get the perimeter!

15 + 14 + 12 + 9 + 8 = 58 inch

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3 years ago

Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?

KiRa [710]

This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.

Doing this, we get that the story will be composed of 792,800 words.

-------------------------------------------

According to the table, pages of dimensions 8.5in x 11in have 800 words.
The book has 991 pages, of 8.5in x 11in dimensions.

Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:

$991 \times 800 = 792,800$

The story will be composed of 792,800 words.

A similar question is given at brainly.com/question/19905617

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3 years ago

If Judy completes a puzzle by herself, it takes her 3 hours. Working with Sal, it only takes them 2 hours.What is the missing va

aliina [53]

Answer:

It means the Judy's rate to complete the puzzle is $\frac{1}{3}.$

Step-by-step explanation:

If Judy completes a puzzle by herself, it takes her 3 hours.

Working with Sal, it only takes them 2 hours

We have been given the rates of time taken by Judy and Sal to complete a puzzle.

We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.

It is given that Judy completes a puzzle by herself, it takes her 3 hours.

so part of puzzle completed by Judy in one hour would be $\frac{1}{3}$

Therefore, the part of puzzle completed by Judy in one hour is $\frac{1}{3}.$

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3 years ago

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Pls Help!!! Worth 99 Pts!!

Alenkasestr [34]

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps<span />

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3 years ago

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