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smithsa10630
25.06.2019 •
Mathematics
Afarmer notes that in a field of goats and geese there are 41 heads and 114 feet how many of each animal are there
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Ответ:
There are 25 geese and 16 goats
Step-by-step explanation:
Let O represent the # of goats and E the # of geese. Remembering that goats have four feet and geese only two, and that each animal has only one head, we can write the following equations to determine O and E:
Number of heads: 41; this is the total of the # of goat heads and the # of goose heads: O + E = 41
(4 feet per goat)O + (2 feet per goose)E = 114 (There are a total of 114 feet)
Then we solve the following system of linear equations:
O + E = 41
4O + 2E = 114
Multiplying the first equation by -2 results in -2O - 2E = -82.
Combining this result with the second equation, we obtain the system
4O + 2E = 114
-2O - 2E = -82
2O = 32
Then O = # of goats = 32/2, or 16, and so the equation O + E = 41 becomes
E = # of geese = 41 - O (remembering that we found O to be 16), or
E = 41 - 16 = 25
There are 25 geese and 16 goats.
Ответ:
38 meter per second
Step-by-step explanation:
Given: The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.
where -38 is the rate of change of function .
Since speed is the rate of change of position with respect to time , thus
Speed =-38 meter per second which shows decrease in distance with respect to time.
At t=0 second, d=220 meters
At t=1 second ,
meters
Distance traveled in 1 second = 220-182=38
Now, Rachel's speed=![\frac{Distance}{time}](/tpl/images/1203/6637/6a9a3.png)
Rachel's speed=
=38 meter per second