A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.

If 1 part of a red pigment requires 75 ml of base, how much red pigment should we mix for 1800 mL of base?

Evaluate the following subtractions (base in each case is two) 11-1

A tent is in the shape of a cylinder surmounted by a conical top.If the height and diameter of the cylindrical part are 2.1m and 4 m respectively,and the slant height of the top is 2.8 m,find the area of the canvas used for making the tent.Also find the cost of the canvas of the tent at the rate of Rs.500 per m^2 (Note that the base of the will not be covered with canvas).

A cone is cut by a plane parallel to its base and the upper part is removed.The part that is left over is called

When a telephone post is broken by a strong wind,its top touches the ground 3 metres a part from the base making an angle 60^@ .Find the height of the post and also the position at which the post is broken.

A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively and the slant height of the top is 2.8 m, find the area of the convas for making the tent. Find the cost of convas of the tent at the rate of ₹ 500 per square meter.

A cone of radius 10 cm is divided into two parts by drawing a plane through mid-point of its axis parallel to the base. Compare the volume of the two parts.

Form the pair of linear equations in the following problems,and find their solution graphically.(i)10 students of class X took part in a Mathematics quiz.If the number of girls is 4 more than the number of boys,find the number of boys and girls who took part in the quiz.

A brass boiler has a base area of 0.15 m2 and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass = 109 J s ^-1m^- 1K^-1 , Heat of vaporisation of water = 2256 xx 10^3 J kg^-1 .

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.