Answer:
- ength (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Step-by-step explanation:
Let x is the side of identical squares
By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:
- length (l) : (10-2x)
- width(w): (10-2x)
- height(h): x
The volume will be:
V = (10-2x) (10-2x) x
<=> V = (10x-2
) (10-2x)
<=> V = 100x -20 - 20 + 4
<=> V = 4 - 40 + 100x
To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume
dV/dx = 12 -80x + 100
<=> 12 -80x + 100 =0
<=> x = 5 or x= 5/3
You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3
=>
- length (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Answer:
Total number of pages in the book is 234.
Step-by-step explanation:
Let us assume that the total number of pages in the book = <em>x</em>
Now, it is given that Makaila read 44 pages yesterday.
Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of <em>x </em>number of pages today.
Number of pages read by Makaila today = 
Now, it is also given that, Makaila read a total of 200 pages in the past two days.
∴ according to question,
Pages read yesterday + Pages read today = 200
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⇒![132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]](https://tex.z-dn.net/?f=132%2B2x%3D200%5Ctimes3%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5BOn%5C%3Bcross-multiplying%5D)
⇒
⇒
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⇒
∴ Total number of pages in the book = <em>x</em> = 234
Answer:
D). 8.
Step-by-step explanation:
Each quarter will come up heads or tails - that is 2 possibilities.
So for 3 tosses the number of outcomes is 2*2*2 = 8.
Jon has y stickers and uses 20
jon=y-20
the sisters share y-20 between 2 of them
therefore each sister receives
(y-20) divided by 2 -- (y-20)/2
1/4(8m - 4n) + 1/3(6m + 3n)=
Distribute the fractions through the parentheses
2m - n + 2m + n =
Combine like terms
2m + 2m - n + n = 4m
The answer is 4m
