Which graph represents the same relation as the rule y = 2x, for all real numbers x?

So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

Is she eats a chocolate cookie first and last, she will have just 1 chocolate cookie left and 4 sugar cookies (5 in total), so the problem is solved with a combination of 5 choose 1 or a combination of 5 choose 4:

C(5,1) = 5! / (1! * 4!) = 5 ways

6 0

3 years ago

Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?<br> It is the<br> th term.

sveta [45]

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

8 0

3 years ago

Aiden and Jacob share a reward of $60 in a ratio of 2:3. what fraction of the total reward does Jacob get?

12345 [234]

Answer:36

Explanation:Step 1 simplify:I added the 2:3 together and got 5 and then divided the total value of 60 by the total value of 5 and I got 12 and in this case 12 is the simplified version of 60
Step 2 Finding Jacob: to find Jacob we simply multiply 12 times 3 and you get 36

8 0

2 years ago