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grigory [225]
3 years ago
11

Sara claims that a sequence of transformations carries rectangle 1 onto rectangle 2. Which of the following sequences of transfo

rmations can be used to support Sara’s claim?
Answer choices
A.) A reflection over the Y axis followed by a reflection over the X axis.
B.) A translation of 7units to the left, followed by a translation of 8
units up.
C.) A reflection of the X-axis, followed by translation of 4 units to the right.
D.) A rotation of 270° clock wise about the origin, followed by a reflection over the y-axis

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answ

b

Step-by-step explanation:

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Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
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Answer:

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Decimal Form:

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Mixed Number Form:

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