Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they
1 answer:
Answer:
Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
Step-by-step explanation:
Let the Cost of each large soft drink be x.
Also Let the Cost of each Large bucket of popcorn be y.
Number of people = 3
Money Spend on popcorn and soft drink = $22.50
Hence we can say that;
Next week three people traveled again.
Each ticket was bought = $8.00
Number of tickets bought = 3
Money spend on tickets =
Total return trip = $37.50
Also they each get a large soft drink, but they share one large bucket of popcorn
Cost of Soft drink = 3x
Cost of popcorn = y
Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.
Hence equation can be framed as;
Now Subtracting equation 2 from equation 1 we get;
Now substituting the value of y in equation 1 we get;
Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.
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Answer:
The statement is now presented as:
In other words, this mathematical statement can be translated as:
<em>There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r. </em>
Step-by-step explanation:
Let the coordinates of the center of the circle, which must be transformed into
by operations of translation and reflection. From Analytical Geometry we understand that circles are represented by the following equation:
Where is the radius of the circle, which remains unchanged in every operation.
Now we proceed to describe the series of operations:
1) <em>Center of the circle is translated 4 units to the right</em> (+x direction):
(Eq. 1)
Where is the translation vector, dimensionless.
If we know that and
, then:
2) <em>Reflection over the x-axis</em>:
(Eq. 2)
Where is the reflection point, dimensionless.
If we know that and
, the new point is:
And thus, and
. The statement is now presented as:
In other words, this mathematical statement can be translated as:
<em>There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r. </em>
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