Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.

Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
Answer: 4
Step-by-step explanation: 1) You need to first understand the question and a way to do that is to list plainly the information given.
2) Let the number be (X)
3) For the equation from the first sentence given; 3(9x-1)
4) From the second sentence; 7(7+2x)
5) Equating both sentences together, since the question says they are the same 3(9x-1) = 7(7+2x)
6) Opening the bracket/expanding the equation.... 27x-3=49+14x
Solving further we will have 13x = 52
X= 52/13
= 4
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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