Answer:
C
Step-by-step explanation:
5/18 times 9/35 equals 45/630
reduces to 1/14
2,870,000
Hope this helps:)
Answer: P(26,5).
That is all the possible combinations of 5 letters made out from 26 letters.
That is 26! / [ 5! ( 26 - 5)! ] = 26! / [5! 21! ] = 26*25*24*23*22*21! / [ 5! 21!] =
= 26*25*24*23*22 / [5*4*3*2*1] = 65,780 arrangements.
Answer:
solution: x = -8
Step by step:
1) 5x-5+5 = -45+5 : Add 5 to both sides
2) 5x= -40 : Simplify
3) 5x/5 = -40/5 : Divide both sides
Hope that helps
Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
