Answer:
The $1 belongs to the cash box
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine if the $1 belongs to the cash box or not
Represent singles with s and couples with c.
From the attachment, we have:
--- total attendance
--- ticket sold
Solve for s and c.
Make s the subject in (1)

Substitute 47 - c for s in (2)

Open bracket




This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.
<em>So, we can conclude that the $1 belongs to the cash box</em>
The table on the far left
You can tell because every time the x value increases by 1, the y value increases by exactly 1/2 every time
Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is

where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get


Divide both sides by 10.


Therefore, the missing dimension of the prism is 6 in.
Correct answer is the one you put
The first and the third equation can be solved by using the zero product property. Let us examine each equation.
4x²+16x=0
4x(x+4)=0
4x=0 and x+4=0
where x1=0 and x2=-4
Next answer is whown below:
(x+4)(x-12)=0
x1=-4 and x2=12
Therefore, the first and the third equations are the answers.