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shepuryov [24]
3 years ago
6

Julie owns 8 different mathematics books and 5 different computer science books and wish to fill 5 positions on a shelf. if the

first 3 positions are to be occupied by math books and the last 2 by computer science books, in how many ways can this be done?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0
Each number being multiplied represents the number of choices of books for each slot on the shelf.
8 x 7 x 6 x 5 x 4 = 6720 ways
first 3 slots 8, 7,6 choices of math.. number goes down by one because the previous slot was filled. last 2 slots 5, 4 choices of science books
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Explain why the sum of two negative<br> integers is always less than each integer.
kykrilka [37]

Step-by-step explanation:

Because when we have 2 negatives there's no way to end up with a positive, its like mixing oil with water hope this helped

4 0
2 years ago
Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.
aksik [14]

Answer:

(B)

Step-by-step explanation:

Let  us denote rectangular tiles by R and square tile by S, then

According to figure.

3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles

∴3R+2S+2R=2R+4S+R+4S

⇒5R+2S=3R+8S

⇒5R-3R=8S-2S

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Hence, 0ne rectangle =3 square

6 0
3 years ago
How would you find values of m for question 'b'?
Trava [24]
This is known as quadratic algebra.

To find it, you can use the quadratic formula but that might take a while.

We can factor it out and get

-3(mx² + mx - 1)

We can then set mx² + mx = 1

It would have no solutions

Edit: Above is wrong!  I made the mistake of factoring 3 when it cant be factored.  

Here is the solution

mx²-3mx=-3

Divide both by -3

mx²+mx=1

And I really messed this up.  Its been a long time since quad.  Sorry, but I cant seem to get the answer.  Try and look up the quadratic formula and see if you can use that


6 0
4 years ago
Write the given expression as the cosine of an angle: cos60cos105 - sin60sin105?
Ahat [919]
We know that

<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity

</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105

then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105

the answer is
cos (105°)


6 0
3 years ago
Answer number 11 please!
labwork [276]

Answer:

$45.60

Step-by-step explanation:

do .008 times 5700

4 0
4 years ago
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