Lydia gas tank was 3/4 full when she left on a trip. She used 8 gallons of gasoline during her trip. Now, 5.5 gallons of gasoline remain in the gas tank. How many gallons of gasoline dose the tank of Lydia's car hold? Show your work.

The tank holds 18 gallons of gasoline.

Step-by-step explanation:

Let x represent the number number of gallons of gasoline that the tank of Lydia's car hold.

Lydia gas tank was 3/4 full when she left on a trip. It means that the amount of gasoline in the tank was 3x/4 gallons.

She used 8 gallons of gasoline during her trip. The amount that would be left is

3x/4 - 8

Now, 5.5 gallons of gasoline remain in the gas tank. It means that

3x/4 - 8 = 5.5

Multiplying both sides of the equation by 4, it becomes

3x - 32 = 22

3x = 22 + 32

3x = 54

x = 54/3

x = 18

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: