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3 years ago

6

If the price of gasoline at a particular station in Europe is 5 euros per liter. An American student in Europe is allowed to use

40 euros to buy gasoline. Knowing that 4 quarts make a gallon, and that 1 liter is about 1 US liquid quart, about how many gallons can the student buy?

1 answer:

Mashcka [7]3 years ago

5 0

Answer:

Number of gallons =2 gallon

Explanation:

given data:

rate of gasoline ineurope = 5 euro per liter

total money to buy gasoline = 40 euro

total gasoline an american can buy in europe $= \frac{40}{5}$

= 8 litres of gasoline

As given in the question 1 ltr is 1 quarts therefore

Total no. of quarts is 8 quarts

As from question 4 quarts is equal to one gallon, hence

Number of gallons $= \frac{8}{4} = 2 gallon$

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Answer:

7.24 ohm

Explanation:

Let R1 and R2 are resistance of two resistors.

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In series

$R=R_1+R_2$

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By using the formula

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In parallel

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R}=\frac{R_2+R_1}{R_1R_2}$

$R=\frac{R_1R_2}{R_1+R_2}$

$20=10(\frac{R_1R_2}{R_1+R_2}$

$2=\frac{R_1R_2}{10}$

$R_1R_2=20$

$R_2=\frac{20}{R_1}$

Substitute the value

$\frac{20}{R_1}+R_1=10$

$R^2_1+20=10R_1$

$R^2_1-10R_1+20=0$

$R_1=\frac{10\pm\sqrt{(-10)^2-4(20)}}{2}$

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$R_1=\frac{10\pm 2\sqrt 5}{2}$

$R_1=\frac{10+2\sqrt 5}{2}=5+\sqrt 5=7.24 ohm$

$R_1=\frac{10-2\sqrt 5}{2}=2.76 ohm$

Substitute the value

$R_2=\frac{20}{7.24}=2.76 ohm$

$R_2=\frac{20}{2.76}=7.24 ohm$

Hence, the magnitude of the greater of the two resistance=7.24 ohm

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