Let m and j be the current ages of Matthew and Jenny, respectively.
Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:
In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:
Now, remembering that m=3j, we can rewrite the second equation as
So, Jenny is 7 and Matthew is 21 (he's 3 times older).
In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.
OM and OP will coincide a second time after 120 seconds. You could visualize it as ray OP moving at 3 degrees/second relative to OM.
Using this visualization, we find that OM makes 30*60*3/360 rotations (minutes * 60 * rotational speed/360 degrees in a rotation), which is 15, and that OP makes 30*60*6/360 or 30 rotations, which is 15 more than OM.
Answer:
y+9=3/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=3/4(x-8)
y+9=3/4(x-8)
Answer:
Step-by-step explanation:
First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.
This means that the chance of getting the first blue chip would be 
As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of 
Now all we need to do is mulitply these two and then simplify
