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3 years ago

There are 24 people in a room and everyone shakes hands with everyone else one time. How many handshakes occur?

2 answers:

4 0

24 x 2....=48.
There is two hands being used each handshake. One from each person.
In which it counts as 48 handshakes. :)

fenix001 [56]3 years ago

4 0

You have to do 24x23 the 24 represents the number of people the 23 represents how many handshakes a person makes so the answer is 552 handshakes will be made altogether.

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How many hours will it take to prepare 900 bags of samples if ashely and her 5 friends do the work

Lerok [7]

5 hours to do all the bags<span />

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3 years ago

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Using distributive property combine 13c - 7c= Show work

emmasim [6.3K]

Actually, distributive property isn't needed to combine this. You can simply subtract 7 from 13 which will give you 6. The solution is 6c.

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2 years ago

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Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)

VashaNatasha [74]

Answer:

<em>The correct option is: C) 4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

$12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z$

We can see that the common factors are: $2,2, x$

So, the GCF will be: $2\times 2\times x= 4x$

Now factoring out $4x$ from the given expression, we will get.....

$12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)$

So, the complete factorization will be: $4x(3y+7z)$

7 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).

zzz [600]

Answer:

$y=-5x+7$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

the points (−1,12) and (1,2)

substitute

$m=\frac{2-12}{1+1}$

$m=\frac{-10}{2}$

$m=-5$

step 2

we know that

The equation of the line in slope intercept form is equl to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=-5$

$point\ (1,2)$

substitute in the linear equation and solve for b

$2=-5(1)+b$

$b=2+5=7$

therefore

$y=-5x+7$

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2 years ago

40x + 60 = 20. what does x equal?

Elena-2011 [213]

Subtract 60 on both sides to get -40.

You are left with 40x=-40

Divide both sides by 40 to leave x by itself.

You get x=-1.

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3 years ago

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