5 packs of water and 6 boxes of flavor packets
Answer:
<h2>5 040 permutations</h2>
Step-by-step explanation:
the word ‘HONOLULU’ has 8 letters
In this word ,the letters O , L and U are repeated each two times.
the number of permutations of the two letters O , o is 2!
the number of permutations of the two letters L , L is 2!
the number of permutations of the two letters U , U is 2!
the number of permutations (distinguishable or not) of the letters in HONOLULU is 8!
then
the number of distinguishable permutations of the letters in HONOLULU :
![=\frac{8!}{2!\times 2!\times 2!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%21%7D%7B2%21%5Ctimes%202%21%5Ctimes%202%21%7D)
![=5040](https://tex.z-dn.net/?f=%3D5040)
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer = a + 12
You take away 3a from 4a (which leaves a) and then take 7 away from 19 (which leaves 12)
Answer:
a. your classmate is correct
b. ![\frac{1}{a^{(y-x)}}=\frac{1}{\frac{a^{y}}{a^{x}}}=\frac{a^{x}}{a^{y}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Ba%5E%7B%28y-x%29%7D%7D%3D%5Cfrac%7B1%7D%7B%5Cfrac%7Ba%5E%7By%7D%7D%7Ba%5E%7Bx%7D%7D%7D%3D%5Cfrac%7Ba%5E%7Bx%7D%7D%7Ba%5E%7By%7D%7D)