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pychu [463]
3 years ago
11

A typical marathon is 26.2 miles. Allan averages 12 kilometers per hour when running in marathons. Determine how long it would t

ake Allan to complete a marathon, to the nearest tenth of an hour.
Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

The time taken by Allan to complete the marathon 3.5 hours

Step-by-step explanation:

Given as :

The distance cover in marathon = d = 26.2 miles

∵ 1 mile = 1.609 km

So, d = 26.2 × 1.609 km

i.e d = 42.155 kilo meter

The average speed of Allan = s = 12 km per hour

Let the time taken by Allan to complete the marathon = t hours

Now, ∵ Time = \dfrac{\textrm Distance}{\textrm Speed}

Or, t =  \dfrac{\textrm d}{\textrm s}

Or, t =  \dfrac{\textrm 42.155 km}{\textrm 12 kmph}

or, t = 3.512 hours

So , The time taken by Allan to complete the marathon = t = 3.5 hours

Hence, The time taken by Allan to complete the marathon 3.5 hours Answer

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Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
8_murik_8 [283]

Answer:

The amount that came is \frac{-68}{3}

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by -5\frac{2}{3}

First open the equation in a fraction it would be \frac{-17}{3}

Now multiplied the above fraction by a 4

That gives the result of \frac{-68}{3}

Hence, the amount that came is \frac{-68}{3}

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

5 0
3 years ago
Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).
saul85 [17]

Answer:

P(x,y) = (0,\frac{11}{5})

Step-by-step explanation:

Given

A = (-2,1)

B = (3,4)

m:n = 2:3

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Where

(x_1,y_1) = (-2,1)

(x_2,y_2) = (3,4)

m:n = 2:3

This gives:

P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})

P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})

P(x,y) = (\frac{0}{5},\frac{11}{5})

P(x,y) = (0,\frac{11}{5})

5 0
3 years ago
What is the metric equivalent in meters to 1250 feet?
Dvinal [7]

381 meters because you divide 1250 by 3.281 and you get 381 meters

6 0
3 years ago
Read 2 more answers
3. The rectangle below has an area of 297 in. Find the length of the diagonal.
saul85 [17]

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

7 0
3 years ago
Your gym membership costs $33 per month after an initial membership fee . you paid a total of $228 after 6 months.
Lubov Fominskaja [6]
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4 0
3 years ago
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