The answer is algebraic work. Algebra is a based math is the piece of arithmetic in which letters and other general images are utilized to speak to numbers and amounts in formulae and conditions.
I hope the answer will help you. Feel free to ask more questions.
Answer:
8
Step-by-step explanation:
The ratio is 3/2 boys/girls
if we call the expression as x there would be a total of 5x girls and boys
3x of this is boys
3x = 12 so x is 4 then 4×2 = 8 girls
Answer:
Principal = $975
Step-by-step explanation:
Formula for interest is;
I = PRT/100
Where;
P is principal
R is interest rate
T is time
We are given;
I = $195
R = 4%
T = 5 years
Thus, making P the subject of the formula, we have;
P = 100I/RT
P = (100 * 195)/(4 * 5)
P = $975
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.
