First, we need to add 2/6 and 2/5.
2/6 can be simplified to 1/3
We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.
Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.
Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.
5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.
Let's say that x is the total amount invested by all three.
6000/x would equal 4/15.
Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.
90000 would equal 4x. Divide both sides by 4 to get x.
90000 divided by 4 would be 22500.
4/15 is the fraction by Jack
22500 is the total amount invested by all 3
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Answer:
The is answer is the last one.
Step-by-step explanation:
I just took the test
It is 46/7 you could multiply 6x7 and then add 4 = 46/7
Answer:
where the table ?
Step-by-step explanation:
