Pretty sure it’s 4. Hope this helped :)
It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:
1. A Blue Card
2. A Green Card
3. A Red Card
4. A Yellow Card
Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.
Answer:
Correct
Step-by-step explanation:
4y = 3x Divide each side by 4
4y ÷ 4 = 1y
3x ÷ 4 = 0.75x
12y = 9x Divide each side by 12
12y ÷ 12 = 1y
9x ÷ 12 = 0.75x
We can see in both equations that 1y = 0.75x
(1y = just y) So the constant of proportionality can be written as y = 0.75x
All of your explanations and descriptions are accurate.
X=hours of plan A
y=hours of plan B
wed: 5x+6y=12
thu: 3x+2y=6
so
5x+6y=12 and
3x+2y=6
we can eliminate y's by multiplying 2nd equation by -3 and adding to first equation
-9x-6y=-18
<u>5x+6y=12 +</u>
-4x+0y=-6
-4x=-6
divid both sides by -4
x=-6/-4
x=3/2
x=1.5
sub back
3x+2y=6
3(1.5)+2y=6
4.5+2y=6
2y=1.5
y=0.75
Plan A=1.5 hours
Plan B=0.75 hours
