Answer:
720 possible ways
Step-by-step explanation:
The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.
The first position can be taken by any of the 10 runners
Now, the second position can be taken by remaining 9 runners
while the third position can be taken by the renaming 8 runners.
Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways
Supplementary angles have a sum of 180 degrees.
If one angle is x, its supplementary angle is 180-x.
We are told that x is 8 less than triple its supplements so:
x=3(180-x)-8
x=540-3x-8
4x=532
x=133
Answer: Slope of the line formed by the data is -3.
m=-3 for y=mx+b.
Step-by-step explanation: The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line. I'll pick 2 points: (-4,17) and (9,-22). Any two points will work, if it is a straight line. For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y. x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.
The rise(y) over the run(x) for these points is thus (-39/13) = -3
The slope is -3
A)
since she washed 30 plates in 5 mins (7:30 to 7:35) the ratio was 5:30 or in simplest form 1min:6plates
This means she washes 6 plates a min and thus from 7:15 to 7:38 (23 mins) she washes:
6X23 = 138 plates
b)
L - plates left
T- total plates
t - time(mins)
"L = T - 6x"
This is because she washes 6 plates a min