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Anit [1.1K]
3 years ago
9

Carl's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill to fill the

go cart tank. 1 gallon= 231 inches
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

it will take 2 cans to fill the go cart gas tank.

Step-by-step explanation:

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What two numbers add to 9 and multiply to -70
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X, y - the numbers

The numbers add to 9 and multiply to -70.
x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
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-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

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