Answer:
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)
Step-by-step explanation:
The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.
Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.
Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.
Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y
It means that
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Make "x" the subject of the formula in equation 1
3x = 64.50 - 6y
X = (64.50 - 6y)/3
Apply the above in equation 2 and we have
9[ (64.50 - 6y)/3] + 8y = 106
9(21.5 - 2y) +8y = 106
193.5 - 18y + 8y = 106
193.5 - 10y = 106
Y= (193.5 - 106)/10
Y= $8.75 (price of one drink)
Now substitute Y = 8.75 in equation 1
3x + 6y = 64.50
3x + 6(8.75) = 64.50
3X = 64.50 - 52.5
X = 12/3
X = 3
Take the original coordinate (x,y)
to reflect over x-axis change it to (x,-y)
*basically change the sign of y*
to translate 6 units left (x-6,y)
* basically subtract 6 from x
So your new point should be (x-6,-y)
Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Answer:
we determine that none of the ordered pair is a solution of
as none of the ordered pairs satisfy the equation.
Step-by-step explanation:
Considering the equation

- Putting (-5,2) in the equation


∵ L.H.S ≠ R.H.S
FALSE
- Putting (0,-5) in the equation


∵ L.H.S ≠ R.H.S
FALSE
- Putting (5,1) in the equation


∵ L.H.S ≠ R.H.S
FALSE
- Putting (7,5) in the equation


∵ L.H.S ≠ R.H.S
FALSE
From the above calculations, we determine that none of the ordered pair is a solution of
as none of the ordered pairs satisfy the equation.
Answer:
was this supposed to be funny lol
Step-by-step explanation: