Answer: second option.
Step-by-step explanation:
Let be "w" the credit hours at Westside Gina is taking.
You know that class fees are $98 per credit hour at Westside, then the expression for the dollar amount she paid for her class fees at Westside is:
Since she is taking a combined total of 13 credit hours at the two schools, the credit hours at Pinewood Gina is taking can be represented by this expression:
You know that class fees are $115 per credit hour at Pinewood, then the dollar amount she paid for her class fees at Pinewood can be expressed as:
Therefore, the expression for the combined total dollar amount she paid for her class fees is:
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.
For this case what we should do is take into account the following conversion:
We then have the following number:
Applying the given conversion we have:
By doing the corresponding calculation we have that the standard form is given by:
Answer:
4540 million in standard form is:
Answer:
40 miles over the speed limit
Step-by-step explanation:
You want the difference between the two numbers so you subtract 45 from 85 which gives you 40
D)5,400,000 Is your answer....
