Answer:
Refer to the attachment for explication of steps. :)
Answer:
- 3/20, with the assumptions below.
Explanation:
The question seems incomplete.
In order to show you the procedure, I make some assumptions.
Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.
The operation is:
Convert the whole number 5 into fraction using 1 as denominator:
Transform the division into multiplication changing the divisor into its reciprocal:
Multiply numerator with numerator and denominator with denominator:
Answer:
x = 1, y = 1
Step-by-step explanation:
3x - 4y = -1
5x + 2y = 7
If we multiply the whole second equation by 2, we get:
10x + 4y = 14
Adding this to the first equation:
10x + 4y + 3x - 4y = 14 - 1
13x = 13
x = 1
Applying this to the second equation:
5 (1) + 2y = 7
2y = 2
y = 1
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185