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Mashutka [201]
3 years ago
9

Write an expression showing 5 less than the number k.

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

k - 5

Step-by-step explanation:

if k is a number, and you take away 5, the expression would be k - 5 because you have 5 less than k

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Answer:

X-axis

Step-by-step explanation:

the name of when the line of slope is on the x axis line is the x axis line.

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A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2%
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2 years ago
1. Alicia has 7 paintings she wants to hang side by side on her wall.
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A.

If we take 7 paintings to be hung in 7 spaces side by side, the first space can have any one of the 7 paintings, the second space can have any one of the remaining 6 paintings (as 1 is already hung), the third space can have any one of the remaining 5 paintings (as 2 already hung)...It goes on like this.

So we have 7*6*5*4*3*2*1=5040 ways to arrange all the paintings from left to write. <em>(in factorial notation it is 7!=5040)</em>

B.

We use combinations rather than permutations because order doesn't matter. If we name the paintings A,B,C,D,E,F, and G, groups of 3 paintings of ABC or ACB are the same. So we evaluate 7C3 using the combination formula,

nCr=\frac{n!}{(n-r)!r!}

We have,

7C3=\frac{7!}{(7-3)!*3!} = \frac{7!}{4!*3!} = 35

C.

This is similar to part A in some ways. Any 3 pictures can be arranged in 3! different ways. 3!=3*2*1=6. So, 6 different ways.


ANSWER:

A) 5040 ways

B) 35 different groups

C) 6 ways

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Step-by-step explanation:

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