20y+30x=1000 divide 20 on each side to st the y alone.
y+30x=50 next put it in slope intercept form 
y=30x+50 I don't know if this was te answer you were looking for but I hope it is
        
             
        
        
        
I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²From the above calculations, we can deduce that 
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
 
        
        
        
Answer:
3/5
Step-by-step explanation:
9/10 and 2/3 can cross cancel
3 goes into 9, 3 times
2 goes into 10, 5 times 
they both go into themselves once
our new fractions are 3/5 and 1/1 which equals 3/5
 
        
                    
             
        
        
        
Answer:
x=10
Step-by-step explanation:
Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change. 
2x = 18+5-3
2x=20
Divide both sides of the equation by 2 to make x the only variable left. 
x=10 
 
        
             
        
        
        
Answer: 0.6
Reason: 3 divide by 5 is 0.6