the barrel of a fountain pen, cylindrical in shape , is 7cm long and 5mm in diameter .a full barrel of ink in the pen will be used up in writting up 310 words on an average . how many words would use up on a bottle of ink containing one-fifth of a litre ?answer correct to the nearest 100 words.

44 words

Step-by-step explanation:

Step one:

given data

The dimension is

7cm long and = 0.07mm

5mm in diameter

radius= 2.5mm

The volume = πr^2h

Volume= 3.142*2.5^2*0.07

Volume= 3.142*6.25*0.07

volume= 1.4 mm^3

If 1.4 mm^3 will write 310 words on an average

1/5(0.2mm^3) liter will write x

cross multiply we have

x= 0.2*310/1.4

x=62/1.4

x=44 words

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