Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let
be the price of popcorn, and
the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
<em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>
Thus, we have two equations
1. 
2. 
and we solve them by first multiplying equation (1) by 4:
,
and then subtracting it from equation (2):

Now we put this value of
into equation (1) and get:

and we solve for
to get:


Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.
I believe the answer to this is zero but I am not 100 percent sure.
Step-by-step explanation:
x=30° { ins angle inscribed angle Standing on arc are equal }
hope it helps
<h2>stay safe healthy and happy...</h2>
You first subtract 1/2 and 1, which gets you -0.5.
then you are left with -0.5=8x
you divide 8 on both sides. which will now give you: x = -.0625
and -0.0625 is your answer :)
Answer: 32
Step-by-step explanation:
When the set has <em>n</em> elements, the power set has
elements. This also gives us the cardinality of the power set, which is what we are looking for.
A = {2,3,9,7,5}
(1) 2
(2) 3
(3) 9
(4) 7
(5) 5
<em>n</em> = 5


32