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
-24+12d=2d-6+22
-24+12d=2d+16
-24+12d+24=2d+16+24
12d=2d+40
12d-2d=2d+40-2d
10d=40
10d/10=40/10
D=4
Answers:
16 chickens
35 pigs
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Explanation:
x = number of chickens
y = number of pigs
There are 51 heads, so x+y = 51 which solves to y = 51-x
2x = number of legs just from the chickens (2 legs per chicken)
4y = number of legs just from the pigs (4 legs per pig)
2x+4y = 172 legs total
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Plug in y = 51-x and solve for x.
2x+4y = 172
2x+4(51-x) = 172
2x+204-4x = 172
-2x+204 = 172
-2x = 172-204
-2x = -32
x = -32/(-2)
x = 16
Now use this to find y
y = 51-x
y = 51-16
y = 35
Since x = 16 and y = 35, this means there are <u>16 chickens</u> and <u>35 pigs</u>.
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Check:
x+y = 16+35 = 51 which works
2x+4y = 2*16+4*35 = 172 and that also works.
Both equations are confirmed.
Answer:
the area product is simply (3x+5).(x+7 which can multiply if desired to obtain highlight3x/2+ 26x + 35.
You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.
