The equation out of this is; what is 250/100 of a number x = 90?
=> Division of 250 by 100 gives 2.5.
=> Now multiply 2.5 by a number x resulting to 2.5x on the L.H.S.
=> make x the subject and come up with x = 90/2.5.
answer is 1/36.
The triangles PQR and PMN are similar triangles
The ratio MN/ QR is 2/3
<h3>How to detemine the ratio MN/QR?</h3>
The question is incomplete, as the figure of the triangles are not given.
So, I will give a general explanation
The given parameters are:
PM= 2MQ
PN = 2NR
Rewrite PM= 2MQ as:
PM/MQ = 2/1
The equation becomes
PM/(PM + MQ) = 2/(2 + 1)
PM/(PM + MQ) = 2/3
Add PM and MQ
PM/PQ = 2/3
The above means that:
PM/PQ = MN/ QR = 2/3
Hence, the ratio MN/ QR is 2/3
Read more about similar triangles at:
brainly.com/question/14285697
Step-by-step explanation:
Let x represent the number.
We have 9x + 4 = 128.
=> 9x = 124 (subtract 4 on both sides)
=> x = 124/9. (divide 9 on both sides)
Hence the number is 124/9 or 13.77....
It's basically multiplication by 3. 3x3 9x3 27x3 etc
Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)