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The number of uniform spherical shots that can be made from a given mass of lead varies inversely to the cube of the radius. When the radius is 1mm the number of shots made is 2744. How many shots of radius 1.4mm can be made from the same mass.

The key to long questions like these is picking out the key information quickly. We have 2 pieces of information we are interested in, the number of shots and the radius of each shot, so let's assign them a ...
JJ
Answered by Joshua J. • Maths tutor
5042 Views

How do I solve equations with unknowns in the denominators?

Suppose you have an equation: (2x+3)/(x-4) - (2x-8)/(2x+1) = 1 and you want to solve for x. Remember that you can only add fractions if they share a common denominator. Also that you can multiply the numerat...
SG
Answered by Seb G. • Maths tutor
25447 Views

Simplify the expression: 3x + 2y -7x + c + y

The important thing in this question is the letters. We want to group "like terms" together. This is what makes the expression simpler. I go about this by drawing a different shape around each lett...
ES
Answered by Edward S. • Maths tutor
6034 Views

A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2) 2 - (n/2) 2 . So for our que...
RM
Answered by Reuben M. • Maths tutor
8848 Views

Using Pythagoras Theorem find the length of the hypotenuse of a right triangle where a=7 cm and b=11 cm. Round to the nearest tenth

Pythagos Theorem states that a^2 + b^2 = c^2 So using the figures we are given the equation would look like this: 7^2 + 11^2 = c^2 We square the numbers we can and then get: 49 + 121 = c^2 We add the left ha...
MB
Answered by Mary B. • Maths tutor
6059 Views