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charle [14.2K]
2 years ago
9

Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.

Mathematics
1 answer:
ololo11 [35]2 years ago
6 0

Answer:

  • boat: 6 mph
  • current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

  b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

  b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

  2b = 12 mi/h

  b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

  c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

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cestrela7 [59]

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Read 2 more answers
The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit. Please explain, thank
DanielleElmas [232]
We know that
[area of the figure]=[area of rectangle]+[area of semi circle]

area of rectangle=b*h------> 10*18-----> 180 cm²

area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²

[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²

the answer is
the area of the figure is 307 cm²
3 0
3 years ago
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