Find the prime factors of each term in order to find the greatest common factor (GCF).
1
Hope this helps! :)
Answer:
2 i think
Step-by-step explanation:
Answer:
12:15 is NOT proportional to 3:4
Step-by-step explanation:
7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.
39:52 is proportional to 3:4 because 3×13=39, and 4×13=52
45:60 is proportional to 3:4 because 3x15=45, and 4×15=60
12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.
Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T =
............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 = 
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 = 
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T = 
or
T = 70 - 0.0780
or
T = 69.92°F
We can use ratio
If the person works for 12 hours and earns $510, for one hour:
12*1=510*x
x=510/12
x= $42.5
Thus the person earns 42.5 dollars per hour.