Answer:
The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours
Step-by-step explanation:
Population = 91,000 ppl
Speed limit = 60 mph
Distance = 21 miles.
1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:
T = D/V
D= 21 miles
V = 60 mph:
So;
T = 21 miles / 60mph
T= 0,35 h
2. Asumming that we are going to use an amount of 100 vehicles with 50-seats in each trip for evacuating people, it means that we could evacuate
500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>
To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate
T= 91,000/ 1,429 = 63,68 hours
Given:
The system of equations is


To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,


Taking all the terms on the left side, the given equations can be rewritten as


The system of equations
and
have infinitely many solutions if

We have,


Now,



On cross multiplication, we get


Therefore, the missing value is -10.
Answer:
y=-6/5x-2.6
Step-by-step explanation:
The probability would be 50%
3x + 4y = 16 Write original equation
3x + 4y - 4y = -4y + 16 Subtract 4y from each side
3x = -4y +16 Simplify
3x/3 = -4y/3 + 16/3 Divide each side by three
x = -4y/3 +16/3 Simplify
I hope this helps!