Answer:
5x + 8y = 720
Step-by-step explanation:
Let the :
Number of kid tickets sold = x
Number of adult tickets sold = y
Hence:
Tickets for kids cost $5 each.
Tickets for adults cost $8 each.
The total sales on opening night is $720.
The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:
$5 × x + $8 × y = $720
5x + 8y = 720
Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is
5x + 8y = 720
To be able to solve clearly this problem, the best thing
to do is to plot the graph (see attached pic). From the graph we can see that
the points form a trapezoid.
The base is formed by the segment connecting point A and
point B.
While the two heights: shorter one by the segment
connecting points A and D, and the longer one by the segment connecting points
B and C.
The formula for area of trapezoid is given as:
A = b (h1 + h2) / 2
Where,
<span>b = base of the trapezoid
= 3 – (-4) = 7</span>
h1 = shorter height = 2 – (-2) = 4
h2 = longer height = 2 – (-5) = 7
Therefore the area is:
A = 7 (4 + 7) / 2
A = 77 / 2
<span>A = 38.5 </span>
The simplification of this equation is 7x/12y
Answer:
No
Step-by-step explanation:
The rate per second for copies will be as follows
First machine
Since it takes 8 seconds to make 5 copies hence rate per second is equivalent to 5/8 copies per second
Second machine
First, convert its time into seconds. Given that 1 min has 60 seconds then 24 mins will have 24*60=1440 seconds
During this time, the machine makes 16 copies. Therefore, the rate per second is 16/1440 which when simplified is 1/90 copies per second.
Clearly, these two rates are different.