Gas mileage is how many miles you travel on one gallon of gasoline. a new honda accord hybrid ( part electric, part gasoline ) testes our traveling 432 miles on 8 gallons of gasoline. what is the car’s gas mileage? how fat can it travel on a full tank of 12 1/2 gallons of gas?

Gas Mileage = 54 miles per gallon

Distance traveled = 675 miles

Step-by-step explanation:

Mileage = Total Miles/Total Gallons

Given,

432 miles travelled (total miles)

in 8 gallons of gas (Total Gallons)

So, the mileage would be:

Gas Mileage = 432/8 = 54 miles per gallon (54 mpg)

The full Tank is 12  1/2 gallons  = 12.5 gallons

Since each gallon gives 54 miles, in 12.5 gallons, it will give:

Distance Traveled = 54 * 12.5 = 675 miles

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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