What if we divided the 2 equations.
(ar^5+ar^6+ar^7+ar^8+ar^9+ar^10)/(a+ar+ar^2+ar^3+ar^4+ar^5) = r^5 = 12096/378 = 32
r = 2
Now that we have r, we can solve for a using the sum of geometric series.
a(r^n-1)/(r-1) = sum
a(63)/(1) = 378
a = 6
=^._.^=
You're welcome. :))
done
careful with latex
x
5/6x
5/9x + 8
5/9x + 8 = 68
x = 108 :))
Each time is subtracting 6 from it. :))
The number of 4 digits that don't have a repeated digit is 9*9*8*7.
The total 4 digit number is 9*10*10*10.
1 - (9*9*8*7)/(9*10*10*10) is our answer. :))
=^._.=
I think you spent 3 dollars on apples and pears since it says "I spent a total of 3 dollars"
This is also 1/8 bigger I think. :))
The shape should look be an upside down parabola.
Graph them out as t = x and try to figure it out in desmos. :))
We're looking for LCM of bus A and bus B.
LCM(25, 30)
LCM(5*5, 2*3*5 ) = 150
150 minutes after 3pm :))