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Korvikt [17]
3 years ago
13

A motorboat can maintain a constant speed of 15 miles per hour relative to the water. The boat makes trip upstream to a certain

point in 51 minutes; the return trip takes 39 minutes. What is the speed of the current?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

The speed of the current is 2 miles per hours

Step-by-step explanation:

Given as :

The speed of motorboat = x = 15 miles per hour

The time taken by motorboat trip upstream = 51 minutes

The time taken by motorboat trip downstream = 39 minutes

Let The speed of the current = y miles per hour

Let The total distance cover = A miles

So ,

Speed = \dfrac{\textrm Distance}{\textrm Time}

So, x - y = \dfrac{A}{51}

I.e  15 - y =  \dfrac{A}{51}

And x + y = \dfrac{A}{39}

I.e  15 + y = \dfrac{A}{39}

\dfrac{x-y}{x+y} = \dfrac{39}{51}

I.e \dfrac{x-y}{x+y} = \dfrac{13}{17}

Or, 17 × (x - y) = 13 × (x + y)

Or, 17 x - 17 y = 13 x + 13 y

Or, 17 x - 13 x = 13 y + 17 y

Or, 4 x = 30 y

Now, ∵ x = 15 miles per hour

So, 4 × 15 = 30 y

Or, y =  \dfrac{60}{30}

∴   y = 2 miles per hour

Hence The speed of the current is 2 miles per hours   Answer

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Answer:


Step-by-step explanation:

OK... You have to use this formula: <u>Y2 - Y1</u>

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<u>Y2 - Y1</u>

X2 - X1

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2 - - 2

<u>-12</u>

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Simplify by dividing both -12 & -2 by 2: <u>-6</u>

                                                                 -1

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4 0
3 years ago
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klemol [59]
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43 has no other numbers that can divide into it and leave it a whole number.
8 0
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A 12-ounce soda can is 5 inches tall and 2.5 inches across. How much soda can it hold if it is completely full? Round your answe
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3 years ago
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Which of these function has a greater rate of change than the function graphed bean why
Marrrta [24]

Answer:

The 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Step-by-step explanation:

From the graph,

Taking two points

  • (0, 0)
  • (3, 9)

Finding the rate of change or slope between (0, 0) and (3, 9)

Using the formula

Rate of change = Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 0] / [3 - 0]

               = 9 / 1  

               = 3

Thus, the rate of change or slope of the line = m = 3

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Considering the function in 2nd option

y = 10x+1

Comparing with the slope-intercept form of the line equation y = mx+b

The rate of change or slope = m = 10

Conclusion:

The rate of change or slope of the graphed line: m = 3

The rate of change or slope of y = 10x+1 is: m = 10

Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.

Hence, the 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

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Maksim231197 [3]

Answer:

The same number was not added to both sides.

Step-by-step explanation:

The same number was not added to both sides.

In line 2,  6 was added to the left side  and 78 was added to the right side.

6 0
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