Answer:
Yes
Step-by-step explanation:
After solving for the two values of a, the second inequality gives a value inside the range of the first inequality.
<h3>
Answer: 9/50</h3>
Explanation:
Any percentage converts to that number over 100.
So 18% would convert to 18/100
We then reduce the fraction by dividing each part by the GCF 2
18/2 = 9
100/2 = 50
The fraction 18/100 fully reduces to 9/50
Y=kx......5=0.1k....k=5/0.1.....k=50
Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
All of them together is 57 -> O + M + Y = 57
So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57
Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:
(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62
Then you plug in the "O" equation (4) into (5) which gives you
(2M-10) + 2M = 62 which reduces to 4M = 72.
So now I know M is 18.
I can now plug that into my other equations:
(4) O = 2*18 - 10 which means O = 26.
Now I plug that into (1) from the top:
26 = 2*Y which becomes 13 = Y
So now I have O, Y, and M
Oldest is 26
Middle is 18
Youngest is 13
Reading the sentence again, you can see that this makes sense.
