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## toxicsugar22 5 years ago Delbert prepares a 25% glugose solution of by mixing 2 ml of glucose with 8 ml of water. If he adds x ml of glucose to the solution, its concentration is given by C(X)=2+x/8+x toxicsugar22: How many ml of glucose should delberrt add to increase the concentration to 50%

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1. anonymous

first find how much glucose it has by setting C(x)=.25$.25 = {(2+x) \over (8+x)}$ find how much glucose does a 50% concentration solution has by setting the equation equal to 50%:$.50 = {(2+x) \over (8+x)}$ Last, subtract the 50% x from the 25% x and you will have how much is need to add. is that right?

2. toxicsugar22

yes

3. toxicsugar22

thamks

4. anonymous

np

5. toxicsugar22

can u help me with on more

6. anonymous

sure, put it up

7. toxicsugar22

The cost in thousands of dollers for extracting p% of a precious ore from a mine is given by the equation C(p)=360p/100-p Complete this showing the cost of extracting various percents of the ore . if 15 is P then what is C

8. toxicsugar22

do u get it

9. anonymous

don't yu just substitu 15 for P in the C(p) equation?

10. toxicsugar22

not in the 360p/100-p

11. toxicsugar22

ok so how do i do that

12. anonymous

what is 15 ? p=15% ?

13. toxicsugar22

yes

14. toxicsugar22

so how do i do that can u show me please

15. anonymous

the we know that p =0.15 right?

16. anonymous

if we know that the cost is: C(p)=360p/100-p what would it be if p = 0.15? C(0.15) = ?

17. toxicsugar22

yes can u show me this one time

18. anonymous

C(0.15) = 360(0.15)/100-0.15

19. toxicsugar22

yes but it said do not convert percents to decimals

20. toxicsugar22

ok i got it

21. anonymous

sorry didn't see that 15/100 then

22. toxicsugar22

ok i got it

23. toxicsugar22

with that question what percent of the ore can be extracted if 540,000 can be spent on the extraction?

24. anonymous

now you set C(p) = 540,000 so, 540,000 = 360p/100-p solve for p

25. toxicsugar22

can u show me pleae

26. anonymous

540000(100-p) = 360p 54,000,000 - 540,000p = 360p 54,000,000 = 540,360p p = 99.93

27. toxicsugar22

thanks

28. anonymous

np

29. toxicsugar22

A computer store sells approximately 300 of its most popular model per year. The manager would like to minimize her annual inventory cost by ordering the optimal numbers of computers, x, at regular intervals. If she orders x computers in each shipment, the cost of storage willl be 6x dollers, and the cost of reording will be 300/x (15x+10) dollers. The inventory cost is the sum of the storage cost and the reording cost. use the distributive law to simplfy the expression for the rerding cost. Then express the inventory cost C as a function of x

30. toxicsugar22

can u help me

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