Answer:
$41.37
Step-by-step explanation:
Divide 1024 by 24.75
Answer:
![x^{2} y^{3}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20y%5E%7B3%7D)
Step-by-step explanation:
Using the Quotient rule:
![\frac{a^{m}}{a^{n}} = a^{m - n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%20%3D%20a%5E%7Bm%20-%20n%7D)
We can subtract the exponents of x and y:
![\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B6%7D%20y%5E%7B10%7D%7D%7Bx%5E%7B4%7D%20y%5E%7B7%7D%7D%20%3D%20x%5E%7B%286%20-%204%29%7D%20y%5E%7B%2810%20-%207%29%7D)
Therefore, ![\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B6%7D%20y%5E%7B10%7D%7D%7Bx%5E%7B4%7D%20y%5E%7B7%7D%7D%20%3D%20x%5E%7B2%7D%20y%5E%7B3%7D)
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Answer:
No solution
Step-by-step explanation:
Substitution is done by substituting one equation into another. To begin solve one equation for a variable.
Substitute y=-4x+3 into -4x-y=-2.
-4x -(-4x + 3) = -2
-4x + 4x - 3 = -2
-3=-2
This is a false statement and there is no variable present anymore. This means the equations have no solution.
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence
![n_4 = n_5 = n_6 = 10](https://tex.z-dn.net/?f=n_4%20%3D%20n_5%20%3D%20n_6%20%3D%2010)
Then:
![N = 26^3 \times 10^3 = 17576000](https://tex.z-dn.net/?f=N%20%3D%2026%5E3%20%5Ctimes%2010%5E3%20%3D%2017576000)
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866
You're looking for c, so you want to isolate it or get it by itself. To get rid of the /3 you multiply since the opposite of division is multiplication and to get rid of it, you do the opposite (like -9 you would add 9 to get it to 0). Now you are left with -19+c = 24 (the 24 is 8*3 because what you do to one side you do to the other. Now you get c by itself so you add 19 to both sides which leaves you with C= 43. Sorry if this was confusing!