Answer:
x = 8
y = 11
Step-by-step explanation:
Total small box weight  = 50x    [x being the number of small boxes]
Total large box weight = 80y     [y being the number of large boxes]       
Total boxes = x+y = 19
Total weight = 1280
<em>Determine x and y.</em>
<u>You know 2 equations. One for weight and another for number of boxes each.</u>
<u>Rewrite second equation:</u>
x+y=19
y=19-x
<u>You have to plug in one into another.</u>
1280 = 50x + 80(19-x)
<u>Solve for x</u>
1280 = 50x + 1520 - 80x
-240 = -30x
x = 8
<u>Solve for y by plugging in x into one of the equations:</u>
8+y = 19
y = 11
 
        
             
        
        
        
Answer:
12.56 square cm 
Step-by-step explanation:
 
 
Let A be the area of the sector of circle. 

 
        
                    
             
        
        
        
<span>Mrs. Noyes fills up a 5 gallon can of gas from the McIntosh’s local convenience store. They are selling gas at $2.099 a gallon. How much is she going to pay at the pumpp</span>
        
             
        
        
        
Answer:
y=tan x and y=cotx
Step-by-step explanation:
We are given functions of all trignometric ratios and asked to find out which has range of all real numbers.  Let us discuss one by one
1. y =sinx:  False because -1≤sinx≤1 always
2. y=cosx:False because -1≤cosx≤1 always
3. y = tanx:  True because tanx can take any value
4. y=cot x: True because cots x can take any value
5. y = csc x:   False because this range does not lie between -1 and 1
6. y=sec xFalse because this range does not lie between -1 and 1
 
        
             
        
        
        
Answer:
-11/20 or -0.55
Step-by-step explanation:
1/5 = 4/20
3/4 = 15/20
4/20 - 15/20 = -11/20