Try to zoom in to see explanation
Answer:
t=0 Sugar = 0 Kg
t=1min Sugar=0.27 Kg
Step-by-step explanation:
Data
Tank = 2640 L (pure water)
Sol=0.09kg Sugar per liter
Vin = Vout = 3L/min
Sugar in the beginning = ?
if beginning is t = 0min Amount of sugar = 0, this is due to the fact that at the moment of entering the tank the content is only water
, but if beginning is t= 1min then;

Y ≤ x - 5
y ≥-x - 4
x - 5 = -x - 4
+ x + x
2x - 5 = -4
+ 5 + 5
2x = 1
2 2
x = ¹/₂
y = x - 5
y = ¹/₂ - 5
y = -4¹/₂
The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).
Answer:
.
Step-by-step explanation:
2(3x^2+23x+14)
2(3x^2+21x+2x+14)
2(3x(x+7)+2(x+7)
2(x+7)(3x+2)
Answer:
53 teachers
Step-by-step explanation:
Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:
6,734 / 25 = 269.36
Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).
If we take 269 teachers and 25 students per class, we get:
269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.
That means that the number of teachers needed is 270.
It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.