Step-by-step explanation:
In this case you know that the segment BC was dilated from the origin, producing the image B'C', whose endpoints are:
The image BC was dilated with a scale factor of 2. This means that each coordinate of the endpoints of BC was multiplied by 2.
Therefore, you can conclude that the segment BC is one-half the size of the segment B'C'.
So, you can divide each coordinate of B' and C' by 2 in order to find the coordinates of the points B and C.
Then:
B→
C→
The two inequalities formed will be:
One for ticket quantity:
x + y ≤ 600
One for funds generated via tickets:
5x + 7y ≥ 3500
Equating x to 330,
5(330) +7y ≥ 3500
y = 265
Checking if the other inequality holds true:
330 + 265 ≤ 600
595 ≤ 600
This inequality is still true so they can sell 265 tickets on the event day and cover their expenses.
16:64 (Rowley to Rivera homework ratio)
14:60 (Rowley to Rivera exit ratio)
The ratios aren't equivalent because when they are simplified, the first ratio is 1:4, and the second is 7:30, thus meaning they aren't equal.
4 pints= 8 cups
+
1/2 gallon= 8 cups
+
2 quarts= 8 cups
+
5 cups
=29
no, she is off by a cup