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777dan777 [17]
3 years ago
12

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

ll the tank? (1 gallon = 231 in.3)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

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<span>32 + 5yi = 16x - 40i
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3 years ago
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Fifth term: a_5 = 9 * (\frac{\sqrt{3}}{3})^{(5 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{4} = 1

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Step-by-step explanation:

The geometric progression is:

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Sixth term: a_6 = 9 * (\frac{\sqrt{3}}{3})^{(6 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{5} =\frac{\sqrt{3}}{3}

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