Let us say that:
V1 = initial gallons in first container
V2 = initial gallons in second container
From the problem statement, we can create the equations:
V1 = 2 V2
V1 – 3 = 4.5 (V2 – 2)
Combining the two:
2 V2 – 3 = 4.5 (V2 – 2)
2 V2 – 3 = 4.5 V2 – 9
2.5 V2 = 6
V2 = 2.4 gallons
V1 = 2 V2 = 4.8 gallons
So there are 4.8 gallons in the 1st container
while 2.4 gallons in the 2nd container.
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Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
Answer:
the interest would be 3.75 x 6 = 22.5
so the answer is $22.5 $272.50
Step-by-step explanation:
Answer:
8 gallons
Step-by-step explanation:
Total gas in the car = 14 gallons
Each hour gas usage = 1.5 gallons
Total hours traveled = 4 hours
Left gas after 4 hours
= 14-1.5(4)
=14-6
=8 gallons
Left gas after t hours
=14-1.5t
Hence the answer is after 4 hours, 8 gallons are left after t hour(s) 14-1.5t