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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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Solve the following linear equation for x<br><br> 5x - 2 + x = 9 + 3x + 10
Angelina_Jolie [31]

Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

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Find the highest common factor of 28 and 210 <br><br> Step by step <br><br> Please help
Yuri [45]

Hello there!

To find the GCF, we must list all the factors and then just spot the greatest factor.

28: 1, 2, 4, 7, 14, 28.

210 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70.

So 14 is the GCF. Hope this helps you!

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3 years ago
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Given the recursive formula, each terms is five time the previous one.

This means that:

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f(6)=25f(4)=25\cdot 5f(3)=125f(3)

In general, since you have f(n)=5f(n-1), each time you compute a new term you multiply by a factor of 5, so if m=n+k, you have

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