If it takes 4 gallons of gas to drive 92 miles, how many miles can be driven using 6 gallons of gas?

138 miles

Step-by-step explanation:

4 gallons=92 miles

6 gallons=x miles

Cross multiply the two equations

4 *x = 92*6

4x=552

Divide both sides by 4

4x/4=552/4

x=138miles

Alternatively,

4 gallons=92miles

6 gallons=x miles

Divide 92 miles by 4 gallons

92miles/4gallons=23miles/gallons

If 1 gallon=23miles

Then, 6miles multiplied by 23gallons=138miles

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

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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