Answer:
The first one is supplementary
The second one is complementary
The third one is vertical
Step-by-step explanation:
Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and 2/3 converts to 8/12.
Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run.
Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.
Hope this helped!
Answer:
The probability is 9/266
Step-by-step explanation:
The first thing to do here is get the total number of marbles = 5 + 7 + 9 = 21 marbles
Now we are drawing the marbles without replacement, this means once a marble is drawn there is a decrease in the total number of marbles left.
The probability of drawing a green marble initially = number of green marbles/ total
number of marbles = 9/21 = 3/7
Now, we want to draw a blue marble
There are 5 blue marbles and we have already drawn one marble from the total. So the probability of drawing a blue marble would be 5/20 = 1/4
And lastly, another green marble
That would make 6 green marbles left and a total of just 19 left. So the probability at this point for green marbles = 6/19
Having and in probability means we multiply all
So this means the probability we are calculating is; 3/7 * 1/4 * 6/19 = 18/(28 * 19) = 9/(14 * 19) = 9/266
Answer: 9.2 miles
Step-by-step explanation: