A tank is 4÷5 full of water. after drawing off 190 litres of water, it is just 1÷6 full. what is the capacity of the tank

Step-by-step explanation:

A tank is 4/5 full of water.After drawing off 190 litres of water it is just 1/6 full.What is the capacity of the tank? Mathematics Answer Comment 1 Semmy [17] 1 year ago 5 0 Let's convert the fractions to the same denominator this means that when 190 liters, or 19/30 of the water was drawn off, there was 1/6 left. let's create an equation and solve for x. we know that 190 is equal to 19/30 of the the tank. what about 1/30? we nee to divide each side by 19 to find out. 190/10 would be 19. this means that 1/30 of the tank is 19 liters. to find the full tank, or 30/30 of the tank, multiply 19 by by 30, to get 570. the full capacity of the tank is 570 liters hope this helped! p.s. can i have brainliest?

300 liters

Step-by-step explanation:

The capacity of the tank is unknown, so we call it x.

The tank starts 4/5 full, so the amount of water in the tank is 4/5 x.

190 liters of water are drawn from the tank, so now the tank has

4/5 x - 190 liters of water left.

We are told that the amount of water left is 1/6 of the capacity of the tank, so the tank now has 1/6 x of water.

4/5 x - 190 = 1/6 x

We now solve the equation for x, the capacity of the tank.

We need a common denominator for 5 and 6. We can use the LCD of 5 and 6 which is 30.

Multiply both sides of the equation by the LCD to eliminate the fractions.

30(4/5 x) - 30 * 190 = 30 * 1/6 x

30/5 * 4x - 5700 = 5x

6 * 4x - 5700 = 5x

24x - 5700 = 5x

Subtract 5x from both sides. Add 5700 to both sides.

19x = 5700

Divide both sides by 19.

x = 300

300 liters

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be