Jim goes canoeing on a local stream that has been measured to flow at 2 mph. If he can go 9 miles upstream in the same time it takes him to go 15 miles downstream, find how fast he can go in still waters.
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Answer: This is a problem of solving a system of linear equations. Let x be the speed of Jim in still waters, and y be the speed of the stream. Then we have:
{x+y=15/tx−y=9/t
where t is the time it takes Jim to go upstream or downstream. We can solve this system by adding the two equations and eliminating y:
2x=24/tx=12/t
Then we can substitute x into one of the equations and solve for y:
y=15/t−12/ty=3/t
Since we know that the speed of the stream is 2 mph, we can equate y to 2 and solve for t:
3/t=2t=3/2
Finally, we can plug in t into the expression for x and find the speed of Jim in still waters:
x=12/tx=12/(3/2)x=8
Therefore, Jim can go 8 mph in still waters.
Answer:
Time taken to go downstream = 4 / ( 2 + S) where S is the speed of the river
TIme taken to go upstream = 1 / ( 2 - S )
Since the time taken is the same in each case we can equate both of them
1 / ( 2 - S) = 4 / ( 2 + S )
2 + S = 8 - 4S
5 S = 6
S = 6 / 5
= 1.2 mph
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move x and y to one side.
7x-4x+5y=36-12
3x+5y=24
HOPE I HELPED!!!
Use the variable x for the unknown number.
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Answer: 9 (3 + x) = 5
Step-by-step explanation: hope this helps
Answer:
9(X) x 3 =5
Step-by-step explanation:
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The length of the side HG is
Further explanation:
The Pythagorean formula can be expressed as,
Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.
Given:
The length of the side GI is
The length of the side HI is
Explanation:
The hypotenuse of the triangle GHI is GI.
The perpendicular of the triangle GHI is HI.
The base of the triangle GHI is HG.
Use the Pythagoras formula in triangle GHI to obtain the length of side GH.
Hence, the length of the side HG is
Learn more:
1. Learn more about inverse of the functionbrainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: perpendicular bisectors, sides, right angle triangle, triangle, altitudes, hypotenuse, on the triangle, hypotenuse, trigonometric functions, Pythagoras theorem, formula.
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Answer:
D.
Step-by-step explanation:
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$4.50 * 8 = $36.00
$77.50 + $36.00 = $113.50
= 10 sandwiches