While in Europe, if you drive 109 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 22.0 mi/gal ? Assume that 1euro=1.26dollars.

113.12 dollars

Explanation:

From the question we are told that you drive 109km/day and your gas milage = 22miles/gallon

Step 1

We convert 109km to miles

1 km = 0.6214 miles

109km =

109km × 0.6214miles/ 1 km

= 67.7326miles

Step 2

Since the gas mileage = 22miles per gallons, we calculated how many gallons of fuel you used in a day

22 miles = 1 gallon

67.7326 miles = x gallon

Cross Multiply

x gallon × 22 miles = 67.7326 × 1 gallon

x gallons = 67.7326 miles × 1 gallon/22 miles

x gallons = 3.0787545455 gallons

Approximately = 3.08 gallons of gas

Hence, in a day you use 3.08 gallons of gas.

Step 3

We are told that has cost 1.10 euros/ liter

Hence, we convert the amount of gas you used in gallons to liters

1 gallon = 3.785 liters

3.08 gallons = y liters

1 gallon × y liters = 3.08 gallons × 3.785 liters

y liters = 3.08 × 3.785/1

y = 11.6578 liters.

So in a day you use 11.6578 liters of gas.

Step 4

Assume that 1euro=1.26dollars.

We are also told that has = 1.10 euros per liters

We convert the amount in Euros to dollars

1 euro = 1.26 dollars

1.10 euros =

1.10 × 1.26

= 1.386 dollars

Hence gas costs 1.386 dollars per liter

Step 5

Since : 1 liter of gas = 1.386 dollars

11.6578 liters of gas =

= 11.6578 liters × 1.386 dollars/ 1 liter

= 16.1577108 dollars

Therefore, in 1 day, you spend approximately = 16.16 dollars on gas

Step 6

The final step:

We are asked to calculate how much you spent on gas in 1 week

1 week = 7 days

Therefore, if

In 1 day you spend = 16.16 dollars on gas

7 days =

= 7 × 16.16 dollars

= 113.12 dollars

Therefore, the amount money you would spend on gas in one week = 113.12 dollars.

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j