let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Step-by-step explanation:
to combine like terms you take things with either the same varibales or values
so 2y +4x-3y+8x+2y= 25
you combine the y's so 2-3=-1+2 =1
then x 4+8=12
so y+12x= 25
does that help?
Slope intercept y=mx + b, add y to both sides in your equation. Y=4x, slope intercept. Graphing should be easy, just plug in x intercepts
Ratio= 2:3 add them together= 5. 20 divided by 5= 4.
4x2=8
3x4=12
8 girls and 12 boys
Answer:
Reflection about y=2
Step-by-step explanation:
Triangle A should be reflected about y=2 to map it onto Triangle B.
