Kyle is buying a new car. the car can be driven 24.3 miles with one gallon of gas. the gas tank can hold 15.3 gallons of gas. kyle wants to know how far he can travel on a full tank of gas. which method and reasoning can kyle use to find the distance he can travel in miles?

Unitary method

Total distance=371.79 miles

Step-by-step explanation:

We are given that Kyle is buying a new car.

The car driven in one gallon of a gas =24.3 miles

The gas tank holds=15.3 gallons

We have to find the method and reasoning can Kyle use to find the distance he can travel in miles.

We have to find the distance travel in 15.3 gallons of a gas

So , we are using unitary method .

Unitary method : When we want to find more than one units  with the help of one unit by multiplying

Because we are finding in 15. 3 gallons which is more than one and we are given that in 1 gallon of gas car travel 24. 3 miles

Total distance =

Hence, the distance Kyle can travel in 15.3 gallons of gas=371.79 miles

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)