Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
40
Step-by-step explanation:
so next year her money would be 6% more so:
5000 + (0.6 * 5000) = (1.06) * 5000
So each year she'll have : (1.06)*(last year's money)
So we can say after n years she will have :
((1.06)^n) * 5000
So:
5000((1.06)^n)=50000
n is 39.5
So around 40
Answer:
it has one solution
Step-by-step explanation:
1.y=x-3
2. 3y-3x sub x-3 in place of y therefore
it can also be written as 3x-3x-9=9
if you add 9 to both sides 3x-3x-9+9=-9+9
0+0=0
A
If you put them all into decimal form you get .1, .3, .9
<span>A relationship between two variables in which one is a constant multiple of the other. The constant here is also called the constant of variation. In order to obtain this value, we manipulate the equation by isolating the variables. We do as follows:
</span><span>2x +6y = 0
y = -x/3
Therefore, the constant of variation is -1/3. Hope this answers the question. Have a nice day.</span>