Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
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The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
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AB = 6x+30 = 90
BC = 2x-5 = 15
To find the expected value of your gain in each prize, subtract the price of the ticket from the prize:
If the prize is $500: $500 - $2 = $498
If the prize is $250: $250 - $2 = 248
If the prize is $160: $160 - $2 = $73
But if you did not win any cash prize, you do not have any gain because
0 cash prize - $2 ticket = -$2 which is a loss
For Part A: the answer is 90 muffins total.
For Part B: the answer is 150 muffins total.
All you have to do is divide x (number of muffins the baker made) by 0.4 to get the total amount of muffins made.
Answer:
4.5 inches
Step-by-step explanation:
Sorry if its wrong. I tried.