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
Only these are direct variations:
<span>Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).
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Since tom has twice as much as peter and peter has half as much as Mary this shows that Tom and Mary have the same amount
Tom=$6
Mary=$6
Peter=$3
Answer:
7x + 7
Step-by-step explanation:
You add the numbers with x's
5x + 2x = 7x
Then just add the 7 to the 7x
7x + 7
6(2y - 1) - 4y simplified is 8y-6
