Write an equation of the line with the slope -1 and y-intercept 10

A line passes through point (3, 1) and has slope = -2/3. Find its equation.

A metal pipe has internal radius of 2.5 cm, the pipe is 2mm thick all around. Find the weight in kilogram of 2 meters of the pipe if 1 cubic cm of the metal weighs 7.7 gm.
 

Top of a metallic plate is in the form of a parallelogram. If one of its sides is 8 inches and its altitude is 3 inches. Find the area of the metallic plate

Find the equation of the given line.

The top view of a swimming pool is in the form of a parallelogram with a base and height of 60 feet and 45 feet respectively. Find the area of a top view of the swimming pool.

Calculate the area of equilateral triangle whose height is 25 cm

A regular parallelogram ABCD having sides
The angle between the two sides is 30 degrees. Find the area of parallelogram ABCD

Calculate the volume of the metal pipe whose inside diameter is 6 cm and whose outside diameter is 8 cm, if it is 20 cm long.

Find the height of the triangle whose area is 560 cm² and base is 42 cm

Find area of triangles
a. Whose height is 5cm and base is 10cm
b. Whose three sides are a = 5 cm, b = 5 cm and c = 8 cm

Driver A charges $25 fees and $0.10 per extra mile driven. Driver B charges no fees but charges $0.60 per mile driven. Find the distance in miles for which the two drivers will cost the same money. Also, find the cost.

An artist charges $20 constant fee plus $10 per extra hour he does. Write the linear model and find the charges taken by him if he works for 4 and a half hours.

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Note:
This type of question is called a word problem. We need to have simple understanding of total cost of the number of items purchased and multiplication.  There could be many more items and their costs added in the list. This is the standard method of approaching these problems.

If the distance between the shorter sides of a parallelogram is 16 m, the sides of a parallelogram are 24m and 18m. Find the distance between its longer side

A Cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm, and its length is 21 cm. The metal everywhere is 0.4 cm. Calculate the volume of the metal correct to 1 place of decimal.