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charle [14.2K]
3 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]3 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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3 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
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Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

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Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

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<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

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Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

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