Every time (the four times) that you select a fruit it has to be an apple: the first piece be an apple, so as the second, the third and the fourth pieces.
That is becasue if you do not select an apple on any of the selections then you will not have selected 4 apples, so you do not have any chance to select a different fruit.
Now, given that there are 5 apples, you can combine them in 5C4 ways:
5C4 = 5! / [(4!) (5-4)! ] = 5! / [4! * 1!] = 5 * 4! / 4! = 5
Answer: 5 ways.
Answer:
36
Step-by-step explanation:
i multpliy 9x4=36
Answer:
-1 1/4 yards
Step-by-step explanation:
7 carries
-8.75 yards total yardage
-.8.75 / 7 = -1.25 yards average per carry
In mixed number ? -1 1/4 yards
Answer:
x = -6
Step-by-step explanation:
Subtract the right side, simplify, divide by the x-coefficient.
4(x -3) +54 +3x = 0
4x -12 +54 +3x = 0 . . . . eliminate parentheses
7x +42 = 0 . . . . . . . . . . combine terms
x +6 = 0 . . . . . . . . . . . . . divide by 7
x = -6 . . . . . . . . . . . . . . . add the opposite of the constant
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>