b/j = 4/5 or b = 4/5 j
(b-78)/j = 1/2
b - 78 = 1/2 j
4/5 j - 78 = 1/2 j
3/10 j = 78
j = 260
Fifty ways to choose a state's senators then 49 ways to fill the third seat
50 * 49 = ...............
System of equations
2/5 c + 1/2 s = 138 <==== solve this for s= 2 (138 -2/5 c)
2/3 c + 5/7 s = 210 < ==== sub in the red equation for s
2/3 c + 5/7 (2(138-2/5 c) ) = 210 now solve for 'c'
x = amount at first
{x - (1/4x-25) } *2/5 -17 - 18 = 65
(3/4x +25) 2/5 =100
x = 300 dollars
8 x 8 = 64 possible rolls
2 ways to roll 15 8 7 7 8
2/64 =1/32
Using different units:
m / v = density
5.98* 10^24 kg / 4/3 pi (6.38* 10^8)^3 = .0054973 kg/m3 =5.49 *10-3 kg/m3
5th term + 23d = 32nd term
9 + 23d = 88
d = 79/23
5th term + 18d = 23rd term
9 + 18 * ( 79/23) = ...........
circumference = pi * d
240 = pi * d
d = 240/pi
radius = 1/2 d = 120/pi
Area = pi r^2
= pi ( 120/pi)^2 = 14400/pi ft2
Mean is the average
b / 5 = 9.8 b = 49 years total
g/15 = 10.2 g = 153 years total
(49+153) / 20 = 10.1 mean