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!
Answer:
The answer is b. the range of Greta's graph is y<0
Step-by-step explanation:
Answer:
9 hours babysitting
3 hours landscaping
Step-by-step explanation:
Since Maya worked 3 times as many hours in babysitting than landscaping
so landscape hours is x and babysitting is 3x so
3(7)+11=
21+11=32
so each hours she works landscaping and for 3 hours of babysitting she earns $32
96/32=3 so
9 hours babysitting
3 hours landscaping
Answer:
£682.57
Step-by-step explanation:
Dan pays £714.73 a year in his car insurance.
The price was reduced by 4.1%
To find the new cost of the insurance, we simply need to find 4.15% of £714.73 and then subtract that from the initial price of the insurance (£714.73)
4.5% of 714.73 is:
= £32.16
Then, the cost of the insurance now is:
£714.73 - £32.16 = £682.57
The insurance now costs £682.57
Answer:
Step-by-step explanation:
This problem gives one the following equation to model the graph of a line: (
). The problem asks one to find the value of (x) when (y=0). Rather than using the graph, an easier way to solve this problem is to substitute (0) in for the value of (y) and then solve for (x) using inverse operations.
Substitute,
Inverse operations,
Round:
As one can see on the graph, this result is very close to the value at which the graph intersects the (x) axis. Thus, one can conclude that (x) does indeed approximately equal (1.4)
