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nexus9112 [7]
3 years ago
14

Marco is putting some sweaters into storage for the winter. He has 10 sweaters, and he can fit 6 sweaters into a box. How many d

ifferent groups of 6 sweaters can Marco pack into a box?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
Let us represent the slots of sweaters with dashes:
_ , _ , _ , _ , _ , _
The first slot has 10 possibilities, the next has 9, the next has 8 and so on.
10 x 9 x 8 x 7 x 6 x 5
= 151200 arrangements
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sineoko [7]

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3 years ago
I need help with what is 0.09 1/10th of? I would like some one to tell me how I calculate this so I may use it for future math p
Gemiola [76]
One tenth of 90. Because regular 9 is one tenth of 90, so decimal 9 is one tenth of decimal 90. Hope you understand ha ha ^_^ 
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3 years ago
X+y= 1......... 4x+y = -23 <br> What's x and y
Temka [501]
X + y = 1.....multiply by -1
4x + y = -23
---------------
-x - y = -1 (result of multiplying by -1)
4x + y = -23
---------------add
3x = - 24
x = -24/3
x = -8 <====

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5 0
3 years ago
Read 2 more answers
If the volume of a cube is increased by a factor of 8 ,what is the change in the length of the sides of the cube?
yan [13]
The side length of the cube will only go up by a factor of 2.

Think about it like finding the volume of a cube in reverse:

volume = side^3 = side * side * side

If we multiply the left and right sides of this equation by 8:

8 * volume = 8 * (side*side*side)

And try to "distribute" the 8 by splitting it up into three 2's:

8*volume = 2*2*2*(side*side*side)
8*volume = 2*side * 2*side * 2*side8*volume = (2*side) * (2*side) * (2*side)8*volume = (2*side)^3

We can see the side length only doubles.
5 0
3 years ago
Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
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