Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds
Given the Parameters :
- Lucy's distance = 2t
- Emily's distance = 5t
<u>We can set up an equation to represent the required scenario thus</u> :
Emily's distance = Lucy's distance + 90
5t = 2t + 90
We solve for t
<em>Collect like terms</em> :
5t - 2t = 90
3t = 90
Divide both sides by 3 to isolate t
t = 90/3
t = 30
Therefore, Emily will catch up with Lucy after 30 seconds
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<u>Complete Question</u>
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.

Answer:

Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = 
Answer:
25(7)=175
Step-by-step explanation:
hope this help :3
Answer:
Step-by-step explanation:
We can use the decay equation:

- M(0) is the initial mass
- M is the mass after t (1000 days) time
- λ is the decay constant
But:

So, we can rewrite the initial equation:

Now, we just need to solve it for t(1/2):


I hope it helps you!
The widest are the ones with smallest fraction so the answer is C.