Answer: The mechanic worked 3hrs 95 minutes
Step-by-step explanation:
C. 96 sq ft hope this helps
The slope of the line is -2/2
One scale factor equation is y=cx
y is the new factor (in this case, 60 or 75)
c is the scale factor (in this case, unknown)
x is the old factor (in this case, 24 or 30)
so: plug in the values
60=c(24) divide both sides by 24
c=2.5
you can check again with the other numbers
75=c(30) divide both sides by 30.
c= 2.5
your scale factor is 2.5
You can write this as two equations, then solve them.
let B be the board length, let T be the total length
so we have...
4B = T+3
3B = T-5
we need to make both equations equal to T, so we can later remove that variable:
T+3 - 3 = 4B - 3
Therefore: T = 4B-3
T-5 + 5 = 3B + 5
Therefore : T = 3B+5
Because they are both equal to T we can make them equal to eachother and reorder the equation to get B on one side:
4B - 3 = 3B + 5
4B - 3 + 3 - 3B = 3B + 5 + 3 - 3B
therefore B = 8
thus we know that the board's length is 8ft long,
Hope this helps! :)
