Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Answer: 3 buses
Step-by-step explanation: If 54 students fit on a bus, and 125 students are in 8th grade,
You should divide.
125 divided by 54 is 2.31...
we can't have 2.31... buses, so we say 3 buses.
Answer:
hello : answer : 3
Step-by-step explanation:
transled :
1 unit right : add 1 for x
2 unit up : add 2 for y
exempl : the image for M ( 1 ; 2) by translation is M'(1+1 ; 2+2) so M' (2 , 2).
the image for P ( 1 ; 3) by translation is P'(1+1 ; 3+2) so M' (2 , 5).
same method for A and T .
When turning a fraction into a decimal, any whole numbers comes before the "." and the fraction will become after the ".".
To make it simple, turn the fraction into a "over 100" fraction to make it easier.
Multiple both numeriator and denominator by a specific number, to turn the denominator into a 100. You must times the numeriator as well since your changing the denominator.
100 / 5 = 20
So now, multiple both sides of the fraction by 20.
3 x 20 = 60
5 x 20 = 100
2 60/100
Now, put the whole number in front of the decimal symbol.
2.___
Now, take the numeriator and put it behind the decimal symbol.
2.60
So, when turning 2 3/5 into a decimal, it is 2.60.