Answer:
270
Step-by-step explanation:
Given that :
Ratio = 14:8:5
Houses : flats : bungalow
Number of bungalow = 50
Sum of ratio = (14 + 8 + 5) = 27
Let total number of households = x
Bungalow = 5/27 * x
5/27 * x = 50
5x / 27 = 50
5x = 50 * 27
5x = 1350
x = 1350 / 5
x = 270
Number of places to live = 270
% = (Change/Original) * 100
= (6/24) * 100
= (0.25) * 100
= 25%
(a) Let 
denote the amount of sugar in the tank at time 
. The tank starts with only pure water, so 
.
(b) Sugar flows in at a rate of
(0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min
and flows out at a rate of
(<em>A(t)</em>/1080 kg/L) * (7 L/min) = 7<em>A(t)</em>/1080 kg/min
so that the net rate of change of is governed by the ODE,
or
Multiply both sides by the integrating factor 
to condense the left side into the derivative of a product:
Integrate both sides:
Solve for :
Given that 
, we find
so that the amount of sugar at any time is
(c) As 
, the exponential term converges to 0 and we're left with
or 75.6 kg of sugar.
A statement also know as an axiom which is taken to be true without proof.
Answer:
114 Oranges
Step-by-step explanation:
Days with t are: Tuesday, Thursday and Saturday.In the period of time given there are 20 T days (20 x 3 = 60 oranges)
In the period of time given there are 27 no T days (27 x 2 = 54 oranges)
60 + 54 = 114 Oranges eaten over the school holidays
