Word problems: mathematical descriptions of stated quantities

Click For Summary
John's work completion in n days is correctly represented as n/8, indicating he finishes 1/8 of the job daily. The expression for how much 4k is greater than 4h should be 4k - 4h, not 4h + 4k, as it requires a subtraction to find the difference. For the salt solution question, a 25% salt concentration means that in x gallons, there would be 0.25x gallons of salt. The representation of three consecutive integers starting from n is accurately given as n, n+1, n+2. Understanding the salt concentration question is crucial for correctly interpreting volume percentages in solutions.
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]
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

Similar threads

  • · Replies 105 ·
4
Replies
105
Views
7K
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
9
Views
2K
  • · Replies 125 ·
5
Replies
125
Views
19K