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Igoryamba
3 years ago
6

Mrs.Evans has 13 pictures to hang on a wall.Is there any way she can arrange the pictures other than 1x13 13x1 so that she can h

ave the same number of pictures in each row? Tell whether 13 is a composite or prime number.Explain.
Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer:

Step-by-step explanation:

A prime number is a positive integer that only has a factor of one and itself. Factors are the numbers we multiply together to get another number.

Example: 11 is a prime number. To get 11, we can only multiply 1x11.

A composite number is a positive integer that has factors other than one and itself.

Example: 12 is a composite number. To get 12, you can multiply together 1x12, 2x6, and 3x4. 1, 2, 3, 4, 6, and 12 are all factors of 12.

In the problem you are trying to solve, Mrs. Evans wants to hang 13 pictures with the same number of pictures in each row. Find all of the factors of 13: 1, 13. Those are the only numbers we can multiply together to get 13. Since its factors are only 1 and itself, 13 is a prime number. Because 13 is a prime number, there are no other possible ways she can arrange her pictures into rows with the same number of pictures in each.

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The answer is -8
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3 years ago
Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
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Answer,

The answer should be

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3 years ago
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Answer:

x = 2

Step-by-step explanation:

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6x + 15 + 90 + 63 = 180

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jenyasd209 [6]

Answer:

\frac{3}{4} of a sheet of paper

Step-by-step explanation:

Hi!

This isn't the easiest to explain with numbers but I'll do it with an example instead.

If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?

You would do \frac{60}{2}, right? Because you have 60 cookies and you're dividing it amongst 2 people.

It's the same idea here!

We take the number of sheets of paper, and we divide it by the number of people we have to share it with.

so we do  \frac{3}{4}. You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well

I hope this made sense, let me know if you have any questions

3 0
3 years ago
Read 2 more answers
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