2 and 4.5 is not equivilant since 2 and 4.5 cannot go together (the 0.5 does not help and so it does not make it equivalent.)
Hope this helped!
Nate
Answer:
G
Step-by-step explanation:
Red marble probably currently: 12/32 = 3/8
Guess and check (using the multiple choice answers):
F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5
G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5
H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5
J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5
K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5
Answer:
55/96
Step-by-step explanation:
To find the area, we need to multiply <em>l x w</em>
<em>Take the length 11/12 and the width 5/8 and multiply - </em>
11 times 5 = 55
12 times 8 = 96
<em>Answer:</em> 55/96
Cancelling out both the -6 we get 12=0 which is not true, hence the equation is incorrect.
Answer:
9 hours
Step-by-step explanation:
According to Newton's laws of cooling
dT/dt = -k(T - A)
Let U = T - A
dU/dT = 1
dU = dT
dt/dt = -kU
dT = -kU(dt)
dU/U = -kdt
On integration
ln(U) = -kt + C
U = Ce^-kt
T - A = Ce^-kt
T(0) = 68
T(5) = 25
68 - 20 = Ce^-k(0)
C = 48
and
25 -20 = 48e^-k(5)
5 = 48e^-5k
e^-5k = 5/48
-5k = ln (5/48)
k = - ln(5/48) / 5
k = - 0.4524
T - 20 = 48e^-0.4524t
When T = 21
21 -20 = 48e^-0.4524t
1 = 48e^-0..4524t
e^-0.4524t = 1/48
-0.4524t = ln (1/48)
t = - ln(1/48) / 0.4524
t = 8.5570
t= 9 hours ( to the nearest hour)
