Answer:
d = 11
Step-by-step explanation:
10 - d = -34 - 5d
10 (- d + d) = -34 (- 5d + d)
10 = -34 - 4d
10 + 34 = (-34 + 34) - 4d
44 = 4d
44/4 = 4d/4
d = 11
Answer:
47
Step-by-step explanation:
180 - 43 - 90
Answer:
3,089.71
Step-by-step explanation:
divide 74,153 by 12 and by 2
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
Answer:
4(11-y)²-3y²=8
Step-by-step explanation:
x+y=11
x=11-y