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denpristay [2]
4 years ago
15

5/6 X4= please show steps

Mathematics
2 answers:
Delvig [45]4 years ago
8 0
So, we have 5/6 x 4. 
________________

What you need to do is put a 1 on the bottom of the 4, to make it 4/1.

So, you now have 5/6 x 4/1. Multiply the 5 and 4 together, and have 20.  6 x 1 = 6.

Now you have 20/6. But, you need to make that into a mixed number. 6 goes into 20 3 times, left over with 2. So, your final answer would be 3 2/6.
________________________________________________________

Glad I could help, and good luck!
__________________________
__________________________
__________________________
sineoko [7]4 years ago
3 0
Multiply the denominator by 4 to get the nominator:

6 X4 =24

Add 5 to 24 to get the nominator:

24 + 5=29

29/6
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(fog)(x)=2x-\dfrac{1}{x} =g(f(x))\\\\g(x)=5x+2\\\\Calculate\ g^{-1}(x)\\\\y=5x+2\\\\x=5y+2\ exchanging\ x\ and\ y\\\\y=\dfrac{x-2}{5} \\\\\boxed{g^{-1}(x)=\dfrac{x-2}{5}}\\\\

[(f\ o\ g)\ o\ g^{-1}](x)=[f\ o\ (g\ o \ g^{-1})](x)=f(x)\\\\g^{-1}(g(f(x))=g^{-1}(2x-\dfrac{1}{x} )=\dfrac{2x-\dfrac{1}{x}-2}{5} =\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5}  \\\\\\\boxed{f(x)=\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5} }\\\\

b)

g^{-1}(x)+3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(5x+2)\\\\\dfrac{x-2}{5} +3=\dfrac{2(5x+2)}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\\dfrac{x}{5} -\dfrac{2}{5} +\dfrac{15}{5}=\dfrac{10x}{5} +\dfrac{4}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\9x-\dfrac{1}{5x+2}=11\\\\x\neq -\dfrac{2}{5} \\\\

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B. You would start off with a rectangle in the middle, then you would add 2 equilateral triangles to the top and bottom of the rectangle. After that, you Simply put 2 rectangles (Same size as the original) on both sides of the rectangle. It should look something like this.

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