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In an office there are twice as many females as males. 1/4 of females wear glasses. 3/8 of males wear glasses. 84 people in the office wear glasses. What is the total number of people in the office?

Let's figure out what information we have and let's translate it into mathematical terms.
Let f = number of females in the office m

Answered by Thomas G. Maths tutor
7387 Views

Find the roots for the quadratic equation x^(2)+6x+5=0

For this question I would consider different methods for finding the roots of quadratics and remind the student that an exam could ask for a particular method to be used (as on one of the recent GCSE math...

Answered by Harry L. Maths tutor
4461 Views

Find the differential of y(x)=(5x*Cos(3x))^2

Firstly I would state the substitution rule, letting 5xCos(3x)=w(x), and differentiating with respect to w(x). This gives y'(x)=2w'(x)(w(x)).I would then demonstrate the product rule stating ...

Answered by Harry L. Maths tutor
3117 Views

If x is a real number, what are the solutions to the quadratic: 4*x^2- 4*x+1 = 0

You first calculate the delta of the equation: delta = b^2-4ac = 16 - 16 = 0 => the solution is double.x1,2 = (-b±sqrt(delta))/2/a = 4/2/4 = 1/2 which is real.so the solutions are 1/2 and 1/2....

Answered by Maria I. Maths tutor
2738 Views

How to solve the following for x: (2x+3)/(x-4) - (2x-8)(2x+1) = 1

(The full answer produced answer is annotated working out, but since this text box won't let me submit pictures, I'll do my best to transcribe)First, we gather the two fractions by using a common denomina...

Answered by Cal F. Maths tutor
2796 Views

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