Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
Answer:
After 16 months there will be a population of 1,944 insects.
Step-by-step explanation:
Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:
X = 24 x 3 ^ (16/4)
X = 24 x 3 ^ 4
X = 1,944
Thus, after 16 months there will be a population of 1,944 insects.
The height of a semisphere is equal a radius of this hemisphere.
But... if we can talk about the height of the hemisphere ;)
R = 0.8m = 80cm then height of hemisphere is equal 0.8m = 80cm.
Answer:
5 2/15
Step-by-step explanation:
I divided on my calculator xD
