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yKpoI14uk [10]
3 years ago
13

Help Use the distributive property to demonstrate that the product of 10 and -(1)/(5) is a negative number. Make sure to include

all steps in your answer.
Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

We have to multiply 10 and \frac{-(1)}{(5)}

Here we have to distribute the negative sign.

Distributive property = -(a) = -a

Using the above property, we get  \frac{-(1)}{(5)} = \frac{-1}{5}

Now we have to multiply 10 and  \frac{-1}{5}

= 10 ×  \frac{-1}{5}

= \frac{10 times -1}{5}

= \frac{-10}{5}

Now we have to divide -10 by 5.

= -2

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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
erma4kov [3.2K]

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
What is the value of k ?
seropon [69]
K=10
Here is the equation

180-115=65

(4K+5)+(6k+10)+65=180
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3 years ago
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Alborosie

Answer:

The answer is already in the question. The coordinates of the entrance to the Mount Rushmore parking area are given by latitude 43.8753972 and longitude -103.4523083.

Step-by-step explanation:

I believe the person asking the question wants some other detail that s/he did not state explicitly.

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What is 65 divided by 7
OlgaM077 [116]
I rounded so 9.29
good night!!
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