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Sedbober [7]
4 years ago
6

What property or properties prove (2x)(3y)(4z)=24xyz

Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0

Answer:

Associative

Step-by-step explanation:

3 x 4 =12 and 12 x 2 =24

Since there aren't any exponents the x,y, and z gets added together giving you 24 xyz


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Find x and y. Give reasons to justify your solutions.
Dimas [21]

Answer:

y=14° x=15.6°

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.

6 0
3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
3 ( 8m+5) = 4 (6m+7)-13
Kitty [74]

Answer:

infinite solutions

Step-by-step explanation:

Given

3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides

24m + 15 = 24m + 28 - 13 , that is

24m + 15 = 24m + 15

Since both sides are equal then any real value of x makes the equation true.

Thus there are an infinite number of solutions

8 0
3 years ago
The question is this;
zheka24 [161]

Step-by-step explanation:

X is 24

8 0
3 years ago
Read 2 more answers
What number is 30% of 150
mrs_skeptik [129]
Find 30% of 150.  To do this, mult. 150 by 0.30.  Result:  45.
8 0
3 years ago
Read 2 more answers
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