Answer:
Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics
Her opportunity cost of reading 18 pages of economics is 12 pages of sociology.
Step-by-step explanation:
For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)
Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)
To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.
In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins).
Let n = the hours elapsed when the two trains are 660 miles apart.
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
I hope this helps. Sorry it took so long
Answer:
z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Step-by-step explanation:
To complete the square, the last term has to be 1. So adding 10 to both sides, we get:
4z^2+4z+1 = 10
Since 4z^2+4z+1=(2z+1)^2,
(2z+1)^2 = 10.
Taking the square root of both sides, we get
2z+1=sqrt(10) or 2z+1=-sqrt(10)
So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Answer:
x=3
Step-by-step explanation:
The line of reflection would be at x=3. It’s like a mirror. The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes. Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.
Answer:
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Step-by-step explanation:
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