Work out the hcf of 600 and 128

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

The answer is 8

You work out all the factors for both 600 and 128 and they are :

600 -1,600,2,300,3,200,4,150,5,120,6,100,8,75,10,60,12,50,15,40,20,30,24 and 25

128-1,128,2,64,4,32,8 and 16

And you see what is the highest common factor which is 8

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Elimination method<br> 4x-2y=48<br> 2x+6y=-18

yulyashka [42]

$4x-2y=48\\ \\ 2x+6y=-18$

First we'll multiply the second equation by -2

$-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36$

Now let's add the new equation and the first one.

$(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6$

We found y's value. We'll plug it in one of the equations to find x's value.

$y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9$

Solution ;

(9, -6)

4 0

3 years ago

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Write the standerd form for thirty thousand,four hundred five and three thousandths.

sveta [45]

30 Thousand: 30,000
4 Hundred and Five: 405
3 Thousandths: 3/1000
Final Answer; 30,405 $\frac{3}{1000}$