Answer:
20/27 or 0.74
Step-by-step explanation:
The total number of people is: 2+6+5+14 = 27
Total number of people that don't have a cat is: 6+14 = 20
20/27 = 0.74
Step-by-step explanation:
Maybe yes because binomial is of 2 digits
Where as trinomial of 3 digits
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.
1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16
1+ 2 + 4 + 8 + 16 = 31
31/16 = 1 15/16
Hope this helps!
Answer:
sparky is 4 years older than cookie
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hope this helps, I wasn't entirely certain what the question was.
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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