B+c/d=a subtract b from both sides
c/d=a-b multiply both sides by d
c=d(a-b) or if you prefer
c=ad-bd
Note: if you meant a=(b+c)/d, multiply both sides by d
b+c=ad subtract b from both sides
c=ad-b
A(n) = current term
a(n + 1) = next term
in a geometric sequence, the next term comes from a product of the current term and the common ratio.
the common ratio can be any value, let's say use r = ½.
if the current term is say hmmm 40, the next term is 40*½ , or 20, so indeed, the next term is smaller.
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
All of them together is 57 -> O + M + Y = 57
So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57
Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:
(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62
Then you plug in the "O" equation (4) into (5) which gives you
(2M-10) + 2M = 62 which reduces to 4M = 72.
So now I know M is 18.
I can now plug that into my other equations:
(4) O = 2*18 - 10 which means O = 26.
Now I plug that into (1) from the top:
26 = 2*Y which becomes 13 = Y
So now I have O, Y, and M
Oldest is 26
Middle is 18
Youngest is 13
Reading the sentence again, you can see that this makes sense.
This is a geometric sequence and the common ratio is 0.5.
So, the next term will be 2.75.
