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saw5 [17]
3 years ago
10

Colton scored a 70 on his first history test of the term and a 91 on the second history test. By what percent did Colton's score

increase?
Mathematics
1 answer:
Ilya [14]3 years ago
8 0

Answer:

20%

Step-by-step explanation:

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A family of 5 people attends a theme park. the purchase 2 adult tickets for $27.50 each and 3 student tickets for $12.50 each. i
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 They should get $7.50, because you multiply the adults by two, then the children by three, and add it all together
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4 years ago
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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
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Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
3 years ago
The diameter of a ping pong ball is 4.0cm. find the length in kilometers of a row of 6.02×1023 ping pong balls.
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The length is determined by multiplying the number of balls with the diameter. The answer that would come out of this is in units of centimeters.

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Then, we use the proper conversion factor to convert centimeter to kilometer.

     L = (2.408 x 10^24 cm)(1 m/100 cm)(1 km/1000 m)
       L = (2.408 x 10^24)(10^5)
        

The answer to this item is 2.408 x 10^19 km. 
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