Answer:
A
Step-by-step explanation:
 
        
                    
             
        
        
        
14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14
        
             
        
        
        
Answer:
330
Step-by-step explanation:
This is the "choose" formula.
The equation for the choose formula is this:
nCk = n! / k!(n-k)!
! = factorial.
Plug in our numbers:
11C4 = 11! / 4!(11-4)!
39916800 / 24(5040)
39916800 / 120960
330
 
        
             
        
        
        
Answer:
1. Choice B
2.  Choice C
3.  X=-2
4.  Choice A
5. y = 5/2 x + 5
Step-by-step explanation:
1.  
    the slope is down 3 over 2     m =-3/2 
point slope form
y-y1= m (x-x1)
y-y1 = -3/2 (x-x1)
Choice B
2.  (-3,-1)  (1/2,2)
slope = (y2-y1)/(x2-x1)
m=(2--1)/(1/2--3)  = (2+1)/(1/2+3) = 3/(3.5) =  multiply top and bottom by 2
   m = 6/7
point slope form
y-y1 = m(x-x1)
y--1 = 6/7 (x--3)
y+1 =6/7 (x+3)
multiply by 7
7y+7 = 6(x+3)
7y+7 = 6x+18
subtract 7y from each side
7 = 6x-7y+18
subtract 18 from each side
-11=6x-7y 
Choice C
3.  x=-2
This is a vertical line, the value of x never changes
4.   (-1,2) (1,-4)
slope =(y2-y1)/(x2-x1)
       = (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x--1)
y-2 = -3(x+1)
y-2 = -3x-3
add 2 to each side
y = -3x-1
Choice A
5.  (-2,0)  (0,5)
the y intercept is 5
slope is change in y over change in x
slope =(y2-y1)/(x2-x1)  = (0-5)/(-2-0) = -5/-2 = 5/2
slope intercept form
y= mx+b
y = 5/2 x + 5
 
        
             
        
        
        
The two numbers are 31 and 35.
Step-by-step explanation:
Let,
one number = x
2nd number = y
According to statement;
x+y=66   Eqn 1
y=x+4      Eqn 2
Putting y=x+4 from Eqn 2 in Eqn 1;

The two numbers are 31 and 35.
Keywords: Linear equation, Addition
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