Answer:
There are 3 adults in the family.
Step-by-step explanation:
The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.
We have to find the number of adults or the value of x by solving these equations.
equations are 8x + 4y = 32 -------(1)
16x + 12y = 72 --------(2)
Now we will multiply equation 1 by 3 and subtract it by equation 2.
(16x + 12y) -3(8x + 4y) = 72 - 96
16x + 12y - 24x - 12y = -24
(16x - 24x) + (12y - 12y) = -24
-8x = - 24
8x = 24
x = 3
Therefore, there are 3 adults in the family.
Answer:
715 pounds
Step-by-step explanation:
<em>FV = solve</em>
<em>PV = 600</em>
<em>I% = 6</em>
<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)
Plug it in:
<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>
= 600 x ( 1 + 0.06)³
= 600 x (1.06)³
FV = 714.61, 715 to the nearest dollar.
<em>Therefore, the fee in 2016 is 715 pounds.</em>
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
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
Answer:
D.) 57
Step-by-step explanation:
x=o
in other words the two angles are equal
