The next term in the sequence is double the previous term . so it would be the 3rd option (48,96,192)
Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
- a b c d
- a b d c
- a c b d
- a c d b
- a d b c
- <u>a d c b</u>
- b a c d
- b a d c
- b c a d
- b c d a
- b d a c
- <u>b d c a</u>
- c a b d
- c a d b
- c b a d
- c b d a
- c d a b
- <u>c d b a</u>
- d a b c
- d a c b
- d b a c
- d b c a
- d c a b
- <u>d c b a</u>
To speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend <em>first</em>) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach <u><em>n</em></u><em> </em>) = 24
The solution for the #23 equation is either x=9 or x= -3
Answer:
11.718
Step-by-step explanation:
Answer given above. Pls check
Answer:
Part a) The equation is 
Part b) 
Step-by-step explanation:
Let
p -----> the number of paintings
we know that
Break even is when sales are equal to cost.
The linear equation that represent this problem is

Solve for p
Subtract p both sides


Divide by 7 both sides


Rewrite

Check the solution

substitute the value of p

----> is ok