Mary drove 380 miles using 14 gallons of gas. at this rate, how many gallons of gas would she need to drive
418 miles?

She will need 15.4 gallons to drive 418 miles

Step-by-step explanation:

Step 1

Consider the expression below;

T=G×N

where;

T-total miles traveled

G-number of miles per gallon

N=quantity of gas consumed

This can also be expressed as;

Total miles=number of miles per gallon×number of gallons

In our case;

T=380 miles

G=unknown

N=14 gallons

replacing;

380=G×14

14 G=380

G=380/14

G=27.14 miles per gallon

Step 2

Using the same expression;

T=G×N

where;

T=418 miles

G=27.14 miles per gallon

N=unknown

replacing;

418=27.14×N

27.14 N=418

N=418/27.14

N=15.4 gallons

She will need 15.4 gallons to drive 418 miles

answer: c

step-by-step explanation: because you don't have to draw a point of intersection. couldyou give me brainliest?

u

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1