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egoroff_w [7]
4 years ago
10

Tyler used 17.04 gallons of gas.Maria used 6.2 times as many gallons of gas as Tyler. How many gallons of gas did Maria use?

Mathematics
1 answer:
timurjin [86]4 years ago
4 0
105.648 gallons is your answer
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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

x=\frac{-8(-)22} {2}=-15

Remember that the solution cannot be a negative number

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The solution is x=7

therefore

Marco's age is 7 years old

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4 years ago
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