b/c of alg.2 im guna pull an all nighter...if you can aswr any of these pls do.
5.)pump A can fill a pool in 30 hr and pump B can filla pool in 24 h. If both pumps were turned on at the same time to fill a pool, how many hrs would it take both pumps to fill the pool?
6)How much of an 18% solution should be added to 360 ml of a 10% solution to produce a 15% solution?
7.) crane A can unload the container ship in 10 hours and crane b can do the same in 14 hours. if crane a started at noon and crane b joined in at 2pm at what time was the unloading job completed at?
8.) a nurse wishes to obtain 800 ml of 7% solution of bric acid by mixing 4% and 12% solutions. how much of these shold be used?
9.) john invested $2200, oart at 4.5% intrest adn the reast at 7%. the total annual intrest earned was $144. how much was invested at each rate?
10.) dan jogged uphill at 6mph andthen jogged back down to 10 mph. how many miles did he travel if his total jogging time was 1 hr. 20 min thanks ya'll! please keep adding more so i can compare.. i only have some odd hours left before i have to get ready for school... at 6 am.. G-g-g-g-GREAT Post the questioins in Homework section; not in Mathematics section. 1) V=d.t
V=(d1).30
V=(d2).24
=>d1+d2=(V/30)+(V/24)=V(54/720)
=>Answ=V/(d1+d2)=700/54~12.96 5) (1/30)t + (1/24)t = 1
solve for t
6) .18x + .10(360) = .15(x + 360)
solve for x
7) (1/10)(2) +(1/10)t + (1/14)t = 1
solve for t and convert to the actual time
8) x = amount of 4% solution
y = amount of 12% solution
x + y = 800
.04x + .12y = .07(800)
solve for x and y
9) .045x + .07(2200 - x) = 144
solve for x
10) 1hr 20 min = 4/3hr
6t = 10(4/3 - t)
solve for t and substitute it back in to find the distance.
Remember to multiply the distance by 2 because it asks for the total number of miles he jogged 5.)pump A can fill a pool in 30 hr and pump B can filla pool in 24 h. If both pumps were turned on at the same time to fill a pool, how many hrs would it take both pumps to fill the pool?
Answer : both together will fill the pool in
30*24/(30+24) hrs = 10 hrs
6)How much of an 18% solution should be added to 360 ml of a 10% solution to produce a 15% solution?
Answer : 18% solution to be added
= 360(15 -- 10)/(18 -- 15) ml = 600 ml.
7.) crane A can unload the container ship in 10 hours and crane b can do the same in 14 hours. if crane a started at noon and crane b joined in at 2pm at what time was the unloading job completed at?
Answer : completed after 4/5*14*10/(14+10) hrs = 4 2/3 hrs
at 12.00 + 4.40 = 16.40 hrs = 4.40 PM
8.) a nurse wishes to obtain 800 ml of 7% solution of bric acid by mixing 4% and 12% solutions. how much of these shold be used?
Answer : 4x + 12(800--x) = 7*800
x = 800(12--7)/(12--4) = 500
500 ml 4% and 300 ml 12% will make 800 ml 7%.
9.) john invested $2200, oart at 4.5% intrest adn the reast at 7%. the total annual intrest earned was $144. how much was invested at each rate?
4.5x + 7(2200--x) = 144 => x = (15400--14400)/2.5 = 400
$400 @ 4.5% and $1800 @ 7% gets $144.
10.) dan jogged uphill at 6mph andthen jogged back down to 10 mph. how many miles did he travel if his total jogging time was 1 hr. 20 min
Answer : distance = 1hr20min*(10+6)/2mph = 10 2/3 miles a * 30 = x = b *24 so b = 30/24= 1.25 a
2.25 a *y = a * 30 so y = 13 hours 20 m = 30 * 4/9 = 120/9 |