Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = 
Volume scale factor of these prisms = 
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= 
= 
Now from the formula of volume scale factor,


Volume of the image prism =
= 3 cubic units
Therefore, Option (2) will be the answer.
Answer:
B. (-4, 2½)
Step-by-step explanation:
The lines intercept at the point -4 on the x-axis and 2½ on the y-axis
So what they are trying to say is that they both have the same y-intercept. Easy!
Make y the subject:
5x - 2y = 3
2y = 5x - 3
y = 2.5x - 1.5
The y-intercept is -1.5.
Make y the subject:
x + y = a
y = -x + a
Therefore, a must be -1.5 !
Answer:
$2 for 1 ticket, 7 tickets for $14, $18 for 9 tickets, 10 tickets for $20
Step-by-step explanation:
Since we know that it $8 for 4 tickets, we can simplify the ratio down to 2:1, meaning that each ticket is $2.
You're welcome and good luck with your classes young one