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.
What do you mean? Question not clear.
Answer:
x=5
Explanation:
Begin to isolate x by adding 12 on both sides of the equation
5x=2x+15
Subtract
2x on both sides of the equation
3x=15
Isolate x by dividing both sides of the equation by
3x=5
Let width be x,
Length: 3+x
P=2(l+w)
54=2(x+(x+3))
54/2=2x+3
27=2x+3
27-3=2x
24=2x
24/2=x
12=x
Therefore, the width is 12 inches and the length is (12+3)=15 inches
Hope I helped :)
