Answer:
Step-by-step explanation:
Answer:1.7 its positive
Step-by-step explanation: 0,15 . 16,-12
y1-y2/x1-x2
15-(-12)= 27
0-16= 16
27/16 = 1.7
Answer:
Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%
Step-by-step explanation:
Percentage change = <u>Change ie (New - Old) </u> x 100
Old value
Suppose -
Number of interest groups in 1959 = 500
Number of interest groups in 1995 = 600
Percentage change = [ (600 - 500) / 500 ] x 100
( 100 / 500 ) x 100 = 20%
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.
first month he lost
y/3
then he lost:
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already
and then he lost
(y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
(y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3
it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl
and the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!
so: x -y/3-2/9y-4/27y-3=x-y+3
we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:
-19/27y=-y+6
which means
-19/27y=-y+6
y-6=19/27y
8/27y=6
4/27y=3
y=20.25
so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25
ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!
The supplementary angle would be 180 degrees, and the other angle would be 92.2 degrees
