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lilavasa [31]
2 years ago
10

Anita and Brad are each riding on the same path. Anita began riding at start of the path and is riding at rate of 18 mile per ho

ur. Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour
Mathematics
1 answer:
ser-zykov [4K]2 years ago
8 0

Answer:

They will be at the same position after 2 hours.

Step-by-step explanation:

Here, it should be asked the time it will take for Anita to catch Brad.

Anita began riding at start of the path and is riding at rate of 18 mile per hour.

This means that, after t hours, her position will be given by:

A(t) = 18t

Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour

This means that, after t hours, his position will be given by:

B(t) = 10 + 13t

After how much time will they be at the same position?

This is t for which:

A(t) = B(t)

So

18t = 10 + 13t

5t = 10

t = \frac{10}{5}

t = 2

They will be at the same position after 2 hours.

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Find the sum of the series given in sigma notation.
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Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

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put k = 7 in above eq. for finding first term

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16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




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Answer:

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Answer:

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Cheers.

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