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Sladkaya [172]
3 years ago
7

What is 12 6/13 rounded to the nearest whole numbers

Mathematics
1 answer:
Natalka [10]3 years ago
6 0
So, first determine what half of the denominator or bottom number would be.
   Half of 13 would be 6.5 (Do 13 divided by 2).
Next, see if the numerator or top number on the fraction is smaller, the same, or bigger than that number.
   Since 6.5 is bigger than 6, the numerator would be smaller.
If it is smaller, keep the whole number (in this case 12) the same. If it is the same or equal, round up (in this case 13).
   Since 6 is smaller than 6.5, you keep 12 the same.
   Your answer would be 12.

Hope this helped!
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Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $6. On Saturday, Rob earned $64 babysitting.
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Answer:

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Step-by-step explanation:

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



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Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?
8090 [49]

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

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