Answer:
3/5=x/z
Step-by-step explanation:
7x=3y
7(3)=3(7)
21=21
5y=7z
5(7)=7z (plug in the seven from the first step)
35=7z
then divide both sides by 7
5=z
therefore, X/Z=3/5
I don't know what you mean by unknown factor but a quotient is the answer of a division problem
I'm confused because there are no boxes, but maybe 2/4 3/6 5/10
The solution to a system of equations is the point that the 2 lines of the graph cross each other.
x = 1 and Y =4
Solution is (1,4)
Answer is C.
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.
Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑ = 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187