A farmer sells corn that he grows in a square field. Each side of the field is 40 meters long , and he plans to extend the side
2 answers:
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Answer:
Speed of Current = 5 miles per hour
Step-by-step explanation:
We know distance formula,
D = RT
Where
D is distance
R is rate
T is time
If we let speed of boat (assume) to be "x" and speed of current to be "c"
Then downstream rate is (with current) = x + c
Upstream rate is (against current) = x - c
40 mins to go 20 miles downstream, that means:
D = RT
20 = (x + c)(40)
and
60 minutes to go upstream, 20 miles, that means:
D = RT
20 = (x - c)(60)
Simplifying first equation:
40x + 40c = 20
Simplifying second equation:
60x - 60c = 20
Multiplying first equation by 60, we get:
60 * [40x + 40c = 20] = 2400x + 2400c = 1200
Multiplying second equation by 40, we get:
40 * [60x - 60c = 20] = 2400x - 2400c = 800
Now we add up both these equations:
2400x + 2400c = 1200
2400x - 2400c = 800
----------------------------------
4800x = 2000
x = 2000/4800 = 5/12
We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:
Speed of Current = 1/12 miles per minute
Since there is 60 minutes in an hours, that would be:
(1/12) * 60 = 5 miles per hour
Speed of Current = 5 miles per hour
Answer:
$0.95
Step-by-step explanation:
Given that weight of the function = x
Given that cost of the postage for mail having weight less than or equal to 1 oz = $0.44
then to find the equation can be written as
C(x)=0.44 where 0<x<=1
Similarly we can write equation for other parts
C(x)=0.61 where 1<x<=2
C(x)=0.78 where 2<x<=3
C(x)=0.95 where 3<x<=3.5
Now we can write them together as piecewise function as shown in below:
to graph that we just draw horizontal lines for each as none equation contains x on the right side .
3.48 oz is less that 3.5 so we will use $0.95.
