David's motorcycle uses 2/5 of a gallon of gasoline to travel 8 miles. At this rate, how many miles can it
travel on 5 gallons of gasoline?
Please explain and show work:))

Divide 5 gallons by 2/5 to find the number of 2/5’s in 5:

5 / 2/5 = 5 x 5 /2 = 25/2 = 12 1/2

Now multiply the number of 2/5’s by 8 miles:

12 1/2 x 8 = 100 total miles

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3