G=gas
w=bottle of water
8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.
-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25
Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.
12 (3.25) + 4 (1.5)=45
39 + 6=45
One bottle of water is $1.50, while one gallon of gas is $3.25.
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:
14/125
Step-by-step explanation:
56 % ÷ 5 days ie 11.2% per day ie 112/1000 or 14/125
Answer:
Length of the base=10
Width of the base=50
Step-by-step explanation:
Length of the base=80/8=10
Width of the base= 6.25*8=50
