b = 1/3 j
j = b + 36 these are given sub first into second equation
j = 1/3j + 36
2/3 j = 36
j = 54 cards
Parallel line has the same slope m = 3
point slope form point = 0,3 slope = 3
y-3 = 3 ( x-0)
y = 3x + 3
PEgravity = m * g * h
= 54 * 9.81 * 8 joules
add 2 add 4 add 6 add 8 add 10 etc
31 43 57
1/3 c = 9 multiply both sides of the equation by 3
c = 27
9.9 + 1/2 (9.9)pi +2 h = 51.4
h = 12.97 ft (of the rectangular area)
Area = 9.9 * 12.97 + 1/2 (9.9/2)^2 pi = 166.93 ft2
f(t) given as = 5t ( t-1)
f (3 ) = 5 (3) (3-1) = 30 tix
f(4() = 5 (4 )(4-1) = 60 tix
4650 = 5t (t-1)
4650 = 5t^2 - 5t
5t^2 - 5t - 4650 = 0 quadratic formula yields t = 31 tix needed for 'da bear '
Each raft carries 10 people
350 students / 8 students/raft = ~~ 44 rafts
44 rafts * 2 teachers/raft = 88 teachers
Squares do not always have the same area and perimeter !
6 x 6 square area = 36 perimeter = 24
This problem:
w + w + 4 + 4 = 4w
8 = 2w
w = 4 units
x = number of dollar bills 2x = number of quarters (given)
1.00 x + .25 (2x) = 96.00
1.5 x = 96
x = bills = 64 then quarters = 128
