Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.
Number of pallets moved in 4.5 hours = 108
converting 4.5 hours in minutes we get,
4*60 + 0.5*60 = 240+30 = 270 minutes
So, 108 pallets were moved in = 270 minutes
1 pallet was moved in =
minutes
As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be =
pallets.
Hence, 48 pallets can be moved before quitting time.
Answer:
89
Step-by-step explanation:
2 PLUS 3456 PLUS 687=32534
Z<=16+2
z-2<=16
Zina spent at most 18 dollars
Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21