Do you mind if I re-arrange it slightly before we solve it ?
You said 20x + 3.00y ≥ 500
Subtract 20x
from each side: 3.00 y ≥ -20x + 500
Divide each side by 3 : y ≥ -20/3 x + 500/3
Make it an equation,
and graph this line: y = -20/3 x + 500/3
The line is made out of all points where 'y' is EQUAL to
1/3 of (-20x + 500).
The inequality wants to see all the points that are equal to it
AND all the points that are greater than that.
So the graph of the inequality is the line AND every point that's
anywhere above the line. It's called the "half-infinite plane"
bounded by the line.
"9 and 9?" Did you possibly mean {2, 5, 6, 9}?
The least common multiple of a set of numbers is the smallest integer that can be divided evenly by all of the numbers. In this case, when I saw the 9 and 5, I thought, "45!" but 45 is not evenly divisible by 2 or 6.
So, I tried 90. 90 is indeed divisible by {2, 5, 6, 9}, and is thus the LCM.
Look up and review "Least common multiple."
Answer:
4.95m
Step-by-step explanation:
Let the length of longer and shorter pipe be x and y respectively..
given,
x/y=9/2...(i)
x-1.65=3y ...(ii)
in eqn ii..
x-1.65=3y
or, x/y - 1.65/y = 3
or, 9/2-1.65/y =3
or, 4.5-3 = 1.65/y
or, y=1.65/1.5
•°• y = 1.1m
now,
x/y = 9/2
or, x/1.1 = 4.5
x= 4.5×1.1
•°• x= 4.95m
thus, the length of the longer pipe is 4.95m
<em>l-37l=37 is the correct answer.</em>
