1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr402 [8]
3 years ago
11

Plz help with this word problem

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0
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.


fgiga [73]3 years ago
3 0
The question asks for linear equations and the solution of them. Before you go to that trouble, you can solve this in your head. You start with 6000 more cells of Strain A than Strain B, and you kill them at a rate that is 1000 cells per hour faster. You will obviously kill off that 6000 cell difference after
.. (6000 cells)/(1000 cells/hour) = 6 hours

The linear equations are easily written in slope-intercept form since you are given starting values and rates of change.

a = 12000 -4000t . . . . . . . a is cells of Strain A, t is hours
b = 6000 -3000t . . . . . . . . b is cells of Strain B.

You want to know when a=b, so you can solve these by equating the expressions for a and b.
a = b
12000 -4000t = 6000 -3000t
(12000 -6000) = (4000 -3000)t . . . . . . add 4000t -6000
This should start to look familiar, as it matches the verbal description given above.
6000 = 1000 t
6000/1000 = t = 6

The number of cells will be the same after 6 hours.
You might be interested in
Amanda has a car loan for 12,000 She is paying 3% interest for 6 years. How much will she pay in interest for the 6 years
NNADVOKAT [17]
She should get
12000 \times 3\% \times 6
... I hope it's right ?:)
5 0
3 years ago
4/10 times 2/3 help me please
liraira [26]
4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify
5 0
3 years ago
A salesman packs dog biscuits in boxes containing 16, 17, 23, or 24 pounds each. He will not sell them in any other sizes or spl
sweet [91]

Answer:

the closest the sales man can fit in a box is 96lbs without going over. so therefore, no, he cannot fulfill the order.

5 0
3 years ago
What is the answer to this.....<br> 56kg X 3/8
Nina [5.8K]

Answer:

21 Kg

Step-by-step explanation:

Divide 56 Kg by 8 and multiply the answer by 3 , that is

56 Kg ÷ 8 = 7 Kg , then

3 × 7Kg = 21 Kg

3 0
2 years ago
Solve the system of linear equations by elimination x−2y=−7 3x+2y=3
Amiraneli [1.4K]
Answer: (-1,3)
Explanation: Substitute 3 for y x=2x -7

x=(2)(3)-7

7 0
3 years ago
Other questions:
  • PLS ANSWER THIS ASAP WILL MARK BRAINLIEST!!!!
    14·1 answer
  • Ashley and her two sisters decide to split the cost of a new DVD player for their playroom. the DVD player cost $57 after tax. B
    13·1 answer
  • Find side length of a square that has an area of 169 Square inches
    5·1 answer
  • You spin a spinner and then flip a coin. The events are independent. True or False
    6·1 answer
  • A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
    6·1 answer
  • Round your answer to the nearest hundredth
    9·1 answer
  • Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and
    5·1 answer
  • PLEASE ANSWER THIS. I WILL MAKE HIM/HER A BRAINLIST!!!!
    5·2 answers
  • 1. Maggie keeps track of daily bird sightings. The table below shows the number and type of swans that were seen in one day. Wha
    13·1 answer
  • 1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machin
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!