2/3
There are 4 green marbles and 6 red marbles, making 10 green or red marbles. The probability of drawing a red or a green marble is then 10/15 total marbles, which can be simplified to 2/3 by dividing the numerator and denominator each by 5.
The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.
Find the lengths of FM and ML. Then, FM + ML = FL
<u>FM</u>
ΔFKM (45°-45°-90°): FK is the hypotenuse so FM =
<u>ML</u>
ΔLKM (30°-60°-90°): from ΔFKM, we know that KM =
, so KL =
<u>FM + ML = FL</u>

= 
Put them into y=mx+b
y=1/3x -1
y=2/3x-4
Graph them. Where they touch is your answer. No touch? No solution. Same line? Infinite solutions.
Second set: Same thing.
Solution to first set is (9,2)
7x + y = -5
-7x both sides
y= -7x-5
slope is -7
-3+7=4 y intercept is 4
y=-7x+4
Answer:
3/8
Step-by-step explanation:
Since it is 15/40 hours originally, what we need to do is just simplify this fraction.
The numerator and denominator are both divisible by 5.
3/8