Word problems: mathematical descriptions of stated quantities

paulmdrdo1
Messages
382
Reaction score
0
1.
a.if john finished the job in 8 days, what was the part he finished in n days?
b. by how much 4k greater than 4h?
c. represent the amount of salt in x gallons of a 25% by volume of salt in solution water.
d. represent 3 consecutive integers if the smallest is n.

answers

a. n/8
b. 4h+4k
c. i don't know.
d. n,n+1,n+2

can you check if my answers were correct. in c i don't understand the question. please provide explanation thanks!
 
Mathematics news on Phys.org
Re: Word problems.

paulmdrdo said:
1.
a.if john finished the job in 8 days, what was the part he finished in n days?
b. by how much 4k greater than 4h?
c. represent the amount of salt in x gallons of a 25% by volume of salt in solution water.
d. represent 3 consecutive integers if the smallest is n.

answers

a. n/8
Yes.

b. 4h+4k
No. For example, if you were asked "How much more is 12 than 8" you would NOT answer "12+ 8= 20"!
12 is NOT "20 more than" 8!

c. i don't know.
If a solution is 25% salt then, by volume, on gallon will contain .25= 1/4 gallon of salt.

d. n,n+1,n+2
Yes.

can you check if my answers were correct. in c i don't understand the question. please provide explanation thanks![/QUOTE]
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.

Similar threads

Back
Top