Answer:
(x, y ) → (x + 11, y - 11 )
Step-by-step explanation:
Consider the point U and its image U'
U (- 9, 1 ) → U' (2, - 10 )
This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and
- 10 - 1 = - 11 ↓ in the y- direction
This can be shown in the translation rule
(x, y ) → (x + 11, y - 11 )
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.
To find the discount, multiply 60 by .2, which is 12. Now subtract 12 from 60. The trousers should cost $48 now because the cost has been reduced by 20% of 60, which is $12.
DF=14. Because DE is half the line and EF is the other half the line you add up both the lengths to get the length of whole line.
DE=EF. DE and EF both equal 7 so they are equal.
According to the markings, BD = DC. From this fact
BD = DC
BD + DC = BC
18 + 18 = BC
BC = 36 <<<<<< Answer
