Angle a is 35 degrees angle b is 55 degrees angle c is 110 degrees
Answer: the total is 62.55 so you would be paying $2.55 in tax
Step-by-step explanation:
<h3>
Answer: 220 combinations</h3>
==========================================
Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
---------
You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

As you can see, we get the same result and note how 1320/6 is also present as well.
Answer:
c ≥ 9
Hope this helps!
Step-by-step explanation:
1/2(c+1) ≥ 5
c+1 ≥ 10
c ≥ 9
Answer:
Jessica lived 10 months in Spain and 8 months in Colombia.
Step-by-step explanation:
Let x be the months Jessica spent in Spain, and y the months she spent in Colombia:
1. x + y = 18
Using the information of words per month learned in each country, we can also write the equation:
2. 160 * x + 200 * y = 3200
So now we have a system of <u>two equations and two unknowns</u>.
First we <u>express y in terms of x, in the first equation</u>:
We <u>replace y in the second equation</u>:
- 160 * x + 200 * (18 - x) = 3200
And <u>solve for x</u>:
- 160x + 3600 - 200x = 3200
Finally we <u>use that value of x in the first equation and solve for y</u>:
Jessica lived 10 months in Spain and 8 months in Colombia.