9514 1404 393
Answer:
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
   y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
   y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
   x + y = 5
__
<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
 
        
             
        
        
        
Step-by-step explanation:
The easiest approach is to realise that one hour is 3 times longer than 
20
 minutes. The longer the time, the more they will pave.
2
15
 of a mile, in 20 minutes, how much in 60 minutes?#
They will pave 3 times more.
2
15
×
3
1
=
6
15
 of a mile
6
15
=
2
5
 of a mile
You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 
20
 ) and them multiply by 
60
 to find how much in one hour.
Look at what happens:
2
15
÷
20
×
60
 
=
2
15
×
1
20
×
60
3
 
=
2
15
×
3
 
←
 exactly the same maths.
=
2
5
 
 
        
                    
             
        
        
        
You are going to get the rate of the detects.
6 detects ÷ 114 light bulbs = 1/19 detects per light bulb
If there are 720 light bulbs, then the number of detects will be
720 light bulbs * 1/19 detects per light bulb = 37. 89 ≈ 38 detects
        
                    
             
        
        
        
Answer:
A. p = $17.95n - $1,250.00
Step-by-step explanation:
Profit (p) = net revenue - expenditure
Net revenue = charge for transfer of n videos - expense for n blank DVD
charge per video transfer = $20.40
charge for n video transfer = $20.40 × n = $20.40n
expense per blank DVD = $2.45
expense for n blank DVD = $2.45 × n = $2.45n
Net revenue = $20.40n - $2.45n = $17.95n
expenditure = $1,250.00
Therefore, p = $17.95n - $1,250.00