Answer:
m = 6
Step-by-step explanation:
slope = m = rise/run = (Y2-Y1)/(X2-X1)
y = mx + b
where b is y-intercept
Looking at the graph we know that (0,-1) is y-intercept.
Easiest way is to count:
so from point (0,-1) to the next point which is (1,5)
y moves top 6 (so it's positive 6)
x moves right 1 (positive 1)
remember m = rise/run = change in y / change in x = 6/1
therefore slope is 6
Answer:
6 feet
Step-by-step explanation:
Perimeter = 2L + 2W
Since you know the perimeter is 64 feet, you would plug that into the perimeter side.
64 = 2L + 2W
You also know the width is 2 feet longer than 4 times the length.
64 = 2L + 2(2 + 4L) ----> Multiply 2 * 2 and 2 * 4l
64 = 2L + 4 + 8L ----> Subtract 4 from each side
-4 -4
60 = 2L + 8l ----> add these two
60 = 10L
/10 /10 -----> divide by 10 on each side
6 = L
Now that we know the length, find the width.
64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6
64 = 12 + 2(2 + 24) -------> add 24 and 2
64 = 12 + 2(26) -------> multiply 2 and 26
Before you go any further, you now know that the width is 26 feet. Continue solving.
64 = 12 + 52
64 = 64
Everything checks out.
The length is 6 feet and the width is 26 feet.
(165*12)/5*11 = AHW (average hourly wage)
1980/55 = AHW
36 = AHW
$36 is her average hourly wage.
Answer:
8 chickens
Step-by-step explanation:
Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.
Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.
Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens
Hence, we can say that 8 chickens will produce 24eggs in 24 hours