In 10 minutes a heart can beat 700 times. at this rate, in how many minutes will a heartbeat 140 times? at what rate can a heartbeat?

Heart will beat 140 times in 2 minutes.
Heart beats at a rate of 70 beats per minute.

Explanation:

In 0 minutes heart beats 700 times

hence in 1 minute it will beat 70010=70 times

and heart will beat 140 times in 14070=2 minutes

Set up a proportion.

Beat in 10 minutes : minutes = 140 beats : unknown minutes.

700 : 10 = 140 : x

x = (140*10)/700 = 1400/700 = 2

Answer 2 minutes

May consider a group  g=({0,1},+)g=({0,1},+)where  ++  will work as the xor operator like we work in boolean algebra. note here, that ‘00’ and ‘11’ are not the usual 0 and 1 that we work with everyday. the elements are  called  ‘00’ and ‘11’ and  may not mean  zero (nothing) and one (single). ‘00’ is the identity for the given binary operator +, meaning that any element operated with ‘00’ gets us that element itself.  for a set  ss  in  g′g′  having more elements than just  {0,1}{0,1}  the values for  a+b∈sa+b∈s, such that  a∈s,b∈sa∈s,b∈s, have to be first defined, only then can you determine the value of  1+11+1. the answer could possibly have been  22  if oanswer is25,000

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