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Rufina [12.5K]
3 years ago
14

Kenneth drove 184.25 miles in 3 7/20 hours. What is his average speed

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

The average speed = 55 miles per hour

Step-by-step explanation:

Given the information

  • Distance covered by Kenneth = 184.25 miles
  • Time taken by Kenneth to cover the distance =3\frac{7}{20}=\frac{67}{20}=3.35\:hours

As we know that the average speed can be found using the formula:

Average\:speed\:=\:\frac{Total\:Distance\:covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:

As

  • Distance covered by Kenneth = 184.25 miles
  • Time taken by Kenneth to cover the distance =3\frac{7}{20}=\frac{67}{20}=3.35\:hours

So,

Average\:speed\:=\:\frac{184.25}{3.35}

                        = 55 miles per hour

Therefore, the average speed = 55 miles per hour

Keywords:  speed, time

Learn more about speed time from brainly.com/question/13672525

#learnwithBrainly

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Step-by-step explanation:  Surface Area

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3 years ago
A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an e
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Answer:

3x=P

Step-by-step explanation:

The 3x shows how many campers can fit in one tent so x=campers and then the p is to show how many tents the camp leader needs.

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3 years ago
If f(x) = 2x + 6 and g(x) = x, what is (gºf)(0)?​
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Answer:

(gºf)(0) is 6

Step-by-step explanation:

It is a composition of functions problem, where

(gºf) = g(f(x)) is the composition of the functions g(x) and f(x). (gºf)(0) is the composition of the functions at the point x = 0. First, we find that function that is the g composite of x, then we replace x by 0.

g(4), for example, is g when x = 4, right? So g(4) = 4.

So,

g(f(x)) is going to represent g when x = f(x). x = f(x) when x = 2x + 6, so:

g(f(x)) = g(2x+6) = 2x + 6

We have that

g(f(x)) = gºf(x) = 2x + 6

Now, we just have to find the value of the function at x = 0. So

gºf(0) = 2(0) + 6 = 0 + 6 = 6.

(gºf)(0) is 6

5 0
3 years ago
The scale from a playground to this drawing is 5ft to 1cm. The scale from the playground to another drawing is 8 ft to 1 cm. Wha
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Step-by-step explanation:

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You have a bag of 63 candies you want to give to your 9 friends. The company that makes the candies guarantees that exactly 9 of
Liono4ka [1.6K]

Answer:

the probability you lose one or more friends is 0.9836

Step-by-step explanation:

 Given the data in the question;

P( you lose one or more friend ) = 1 - P( keeping all friends )

Now, keeping all friends is possible only when each friend receives red candy.

As there are only 9 red candies and 9 friends, 1 red candy needs to be given to each friend out of 9 candies

Thus, total candies given = 63

and each friend will get 8 non red and 1 red candy

Thus, P( keeping all friends )

= [ ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ ] / × ⁶³C₉

SO

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so

P( keeping all friends ) = [ 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 ] / 23,667,689,815

P( keeping all friends ) = 387,420,489 / 23,667,689,815 = 0.016369

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P( you lose one or more friend ) = 1 - 0.016369

P( you lose one or more friend ) = 0.9836

Therefore, the probability you lose one or more friends is 0.9836

6 0
3 years ago
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