There it is i found it :)
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The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
Answer:
x= 10/13
Step-by-step explanation:
First, we need to put the variable on one side and the constants on another side.
Also a positive and a negative equal a negative. [this is related to +(-8)]
10x+(-8)= -3x+2
+3x +3x
13x-8=2
+8 +8
13x=10
Finally you divide on both sides
13x/13=10/13
x= 10/13
I hope this is right! I tried my best
