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In a tennis club, there are twice as many male members as female members. 1/3 of the males wear hats when they play. 1/4 of the females wear hats when they play. 66 members wear hats. How many members does the club have?

Let m be the number of males. Let f be the number of females. (1/3)m + (1/4)f = 66 (1) m = 2f (2) (1/3) * 2f + (1/4)f = 66 (substitute (2) into (1)) (2/3)f + (1/4)f = 66 (8/12)f + (3/12)f = 66 (11/12)f = 66 ...
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Answered by Neil S. • Maths tutor
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The sum of the first and third term of a geometric sequence is 72. The sum to infinity of this sequence is 360, find the possible values of the common ratio, r.

We are dealing with a geometric sequence here, we will therefore focus on the geometric sequence formulas that are given in the math HL formula booklet. The first part of the information we are given states ...
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Answered by Armand G. • Maths tutor
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Solve the simultaneous equations: 2x + y = 18, x - y = 6

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrange f...
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Answered by Megan H. • Maths tutor
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What is phagocytosis and what steps are involved?

Phagocytosis is the name given to the process where phagocytes (a type of white blood cell found in blood ) will ingest invading pathogens or large particles and digest their contents. . 1. The pathogens wil...
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Answered by Sanjana A. • Biology tutor
21561 Views

What is the position of chemical equilibrium and how can it change? (A-Level/high GCSE)

A dynamic chemical equilibrium refers to a reversible chemical reaction, where the forward and reverse reactions are happening at the same rate. This results in the concentrations of reactant and product bei...
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Answered by James C. • Chemistry tutor
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