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Gennadij [26K]
3 years ago
13

Ten runners are in a race. how many different ways can they finish in 1st, 2nd and 3rd place?

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0
The order of selection matters, therefore we need to find permutations:
The number of ways is found from 10P3.
10P3=\frac{10!}{7!}=10\times9\times8=720\ ways
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What is the explicit rule for the arithmetic sequence shown in the graph?​
Afina-wow [57]

Answer:

Step-by-step explanation:

Looking at the given graph, the slope of the line is expressed as

Slope = (y2 - y1)/(x2 - x1)

y2 = 19.5

y1 = 9.5

x2 = 6

x1 = 1

Slope = (19.5 - 9.5)/(6-1)

Slope = 10/5 = 2

The successive terms is increasing by 2

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a is the first term of the sequence

n is the number of terms in the sequence.

d is the common difference.

From the information given,

a = 9.5

Tn = an

d = 2

The explicit rule for the arithmetic sequence will be

an = 9.5 + 2(n-1)

8 0
3 years ago
IL<br> 8x-9<br> 5x-3<br> What’s x
shepuryov [24]

Step-by-step explanation:

8x-9=5x-3

Move any equation to the opposite side. I'll use the left this time

8x - 8x - 9 + 9 = 5x - 8x - 3 + 9

0 =  - 3x  + 6

move 6 to opp side

- 3x =  - 6

\frac{ - 6 =  - 3x}{ - 3}

x = 2

3 0
3 years ago
C + d = 60<br> 2.5c + 1.75d = 123.75
likoan [24]

Answer:

  (c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

  2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

  0.75d = 26.25 . . . . . . . . . simplify

  26.25/0.75 = d = 35 . . . . divide by the coefficient of d

  60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

3 0
3 years ago
Find the product 4 2/3 x 3 3/4
storchak [24]

Answer:

45.6

Step-by-step explanation:

trust me bro(don't)

7 0
3 years ago
Read 2 more answers
Perform the indicated operation. (-18)/-(4)
Illusion [34]
A negative divided by a negative is always a positive. 4 can go into 18 only 4 times to get 16 with a remainder of 2. 2 is half of four, therefore -4 can go into -18 4.5 times. 
The answer is 4 1/2 or 4.5.
I hope this helps ^-^
7 0
3 years ago
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