One <u>possible story</u> is:
I had 5 apples. My sister gave me 7, and now I have 12.
Explanation:
We are writing a story for 5+7=12. This means we need to start with 5 objects and somehow gain 7 more. In our story, we start with 5 apples and we get 7 more.
The last part is that our total must be 12. In our story, we end with 12 apples.
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
Answer:
56 problems
Step-by-step explanation:
So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.
Tony's quiz had 80 questions
Tony correctly answered 70% of them.
We can always write a percentage amount as a ratio by dividing the amount by 100.
.
This means that for every 100 questions, tony will respond correctly 70.
So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:
If then: