Answer:
173 bagels are left
Step-by-step explanation:
31+42=73
246-73=173
Answer:
300π cubit units
Step-by-step explanation:
See attached image for oblique cylinder diagram.
The volume is given by the formula:
V = Area of Base * Height
The base is a circle with area formula πr^2 where radius is shown as 5
So
Area of Base = πr^2 = π(5)^2 = 25π
And, height is given as 12
So
Volume = Area of Base * Height = 25π * 12 = 300π cubit units
Answer:
1 1/3 I think
Step-by-step explanation:
Hope I helped :D
To get a fraction as a decimal, you have to divide the numerator by the denominator (commonly on a calculator, which is the easiest).
In this case, divide 20 by 100 to get the answer of 0.2.
So, 20/100 as a decimal is 0.2.
Well, this problem is best solved by setting up a system of two linear equations.
A linear equation can be defined
y=mx+b
where
b=initial value (when x=0), and
m=rate of increase or decrease.
In the given example, the x-axis represents hour, and the y-axis, number of cells.
Chemical #1
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore
y1=-4000x+12000......................(1)
Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)
The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.
At 6 hours from the start,
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells
So the solution is x=6, y=-12000, or (6,-12000)
Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2
Therefore, after three hours, both trials will have zero cells.
You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.
