The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;
Total amount of price money = 5x - 500
The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.
<h3>What is a Sequence?</h3>
Sequence is a list of things (usually numbers) that are in order. Therefore,
let
the first price = x
The common difference of the sequence would be - 50.
To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;
- x , x - 50, x - 100, x - 150, x - 200
Therefore,
Total amount of price money = x + x - 50 + x - 100 + x - 150 + x - 200
Total amount of price money = 5x - 500
learn more on model here: brainly.com/question/2400667
The transformed point if reflected over y = x is (4, 10)
<h3>Reflection of coordinate</h3>
Reflections are transformation technique used to change the position of an image on an xy-plane.
Given the coordinate (10, 4), if this coordinate points are reflected over y =x, this shows that we will simply swap the coordinate points to have (4, 10)
Hence the transformed point if reflected over y = x is (4, 10)
Learn more on reflection here: brainly.com/question/1908648
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Answer:
B) x = 8
; y = 4
Step-by-step explanation:
in a 30-60-90° triangle the sides, respectively, are in the ratio of
1 :
: 2
we can find 'x' by creating this proportion:
12/
= x/2
cross-multiply to get:
x = 24
x = 24/
we can simplify this by 'rationalizing the denominator' which is to
multiply numerator and denominator by
to get:
(24
)÷3, which is 8
we know that side 'y' is half that of side 'x'
therefore y = 4
Answer:
Step-by-step explanation:
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