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ozzi
3 years ago
10

Bradley went on a bike ride to the store 6 miles away. If it took Bradley 3/8 of an hour to get there and 1/4 of an hour to get

back, what was his average rate of speed (miles per hour) for the entire trip?
Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

Bradely's average speed is 14.4 miles per hour.

Step-by-step explanation:

Average Speed tells the rate at which object is travelling his whole journey.

Average\ Speed\=\ \frac{Total\ distance\ traveled}{Total\ time\ taken}

∴ Average\ Speed=\dfrac{6 + 6}{\frac{3}{8}+\frac{1}{4}}

⇒ Average\ Speed=\dfrac{12}{\frac{3+2}{8}}

⇒ Average\ Speed=\dfrac{12}{\frac{5}{8}}

⇒ Average\ Speed=\frac{12}{5}\times 8

⇒ Average Speed = 14.4 miles per hour

Thus, Bradely's average speed for traveeling his whole journey is 14.4 miles per hour.

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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

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Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

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d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

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Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

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Therefore : the 17th term of the sequence is 90

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4 years ago
126.4% of what number is 158?
Maksim231197 [3]
<span>126.4% of 158 = 199.712</span>
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