Okay so to represent juice we are going to use X, and to represent water we are going to use Y.
We also know that the first two starting equations are:
6x + y = 135
4x + 2y = 110
We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:
y = -6x +135
Now you can take that equation and plug into either one of the starting two equations. I chose the second equation. We just substitute what y equals in for y in the equation, so we have:
4x + 2(135 - 6x) = 110
Now solve
4x + 270 -12x = 110
-8x + 270 = 110
Subtract 270 from both sides
-8x = -160
Now divide by -8 on both sides
x = 20
We can now confirm that juice costs $20
Now lets plug that into the equation where we solved for y, to get the actual value of y.
y = 135 - 6(20)
y = 135 - 120
y = 15
The price of water costs $15
From this we can conclude that the cost of juice is $20 and the price of water is $15
<span>Problem 1: 2x > 4x - 6
2x < 6
x < 3
problem 2: -3r < 10 - r
-2r < 10
r > -5
problem 3: 5c - 4 > 8c + 2
3c < -6
c < -2</span>
Answer:
<u>Same side angles are supplementary</u>
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
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hope it helps...
have a grat day
For straight lines the constant rate of change(slope) is a constant(always the same) For every unit moved on the x-axis two more are moved on the y-axis
To
solve this problem you simple have to think which of the following
option would carry your shape into itself. Or in simpler words which
one would make it go 360 degrees around. The correct set of
reflections and rotations would be:
<span>Reflect
over the y-axis, reflect over the x-axis, rotate 180°.
I
hope it helps, Regards.</span>
