2x+4y=0
substitute y with 0
2x+4(0)=0
solve the equation
2x+0=0
2x=0
divide by 2 on both sides
x=0
4x+8y=7
substitute y with 0
4x+8(0)=7
solve the equation
4x+0=7
4x=7
divide by 4 on both sides
x=7/4 or x=1 3/4 or x=1.75
3x-7y=-29
2x+2y=6
solve the bottom equation
3x-7y=-29
x=3-y
substitute for x
3(3-y)-7y=-29
solve the equation
y=19/5
now substitute for y
x=3-
solve for x
x=-4/5
the possible solution of the system is the ordered pair
(x,y)=(
)
Supplementary angles must add to 180 degrees. Let x and y be the measure of the two angles.
y= 6x+5
x+y=180
Substitute y
x+6x+5=180
7x+5=180
7x=175
x=25
Plug the value of x in
25+y=180
y=155
Final answer: 155 degrees
The correct option is the first one. Independent events are exactly what you're asking for: the information you have on one event doesn't affect in any way the probability of the other.
A classic example is the roll of two dice: assume that you roll the first one and get a 4. Does this imply anything on the outcome of the second die? No, all events 1,2,3,4,5,6 are still equally distributed, no matter the result of the first die.
The answer would be 1/5. One bag weighs 5 pounds and 6 bags weigh 30 pounds. 5*6=30
Hope this helps!
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