QS would be 42. So the way i did it was I:
8x-51=3x-6
x=9
Plugged into both equations of QR and RS to then get the answer of 42
If popcorn is p and water is w the equation can be written as
3p + w = 9.25
because there was 3 boxes of popcorn and one water (hence the coefficients) and the total is 9.25
then plug in 1.75 for w the price of water:
3p+ 1.75 = 9.25
you can move stuff around algebraically now (subtract 1.75 on both sides and divide by three on both aides) to get the cost of one box of popcorn (p).
The answer is 2.50
Answer: 97 degrees
Step-by-step explanation:
I drew some letters on your attachment to make it easier for you to understand.
To find angle y you need to find angle x first, you do that by doing (180=A+B+C) and you solve for A which is x degrees (A=180-B-C)
When you use angle C you must combine the 26 degrees and 55 degrees because if you use only 55 let's say, that would be the angle for triangle CDB, and we need C for triangle ABC.
So: A=180-42-81 -> A=57 degrees
Now you know Angle A (57 degrees) and Angle ACD (26 degrees)
All you have to do to find Y is to do: y=180-x-26
So y would be: 97 degrees
Keep in mind this is one of two solution methods I can see, if you want me to show you the other one as well just tell me in the comments, you are welcome.
Y = k/x is the inverse equation.
6 = k/11
Solving for k, multiply by 11 on both sides.
66 = k
y = 66/x
13.2 = 66/x
x = 5