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give the values of x when 2x^2+5x-3=0

First we need to find two numbers that multiply to make ac and add to make b which are -6 and 5 in this case.The two numbers that do this are 6 and -1. Now we separate the 5x into 6x and -x. Putting this ...

Answered by Sachin V. • Maths tutor

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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/...

Answered by Neil S. • 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 rearrang...

Answered by Megan H. • Maths tutor

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There are 13 counters in a bag. 4 counters are red, the rest are blue. Alice takes 2 counters without replacing them. What is the probability that both counters are the same colour?

To begin question, we must establish how blue counters there are at the start. This is a simple subtraction calculation.13-4=9There are 4 red counters and 9 blue counters, which totals to 13 counters. Nex...

Answered by Austin E. • Maths tutor

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In a school 2/5 students play an instrument. Of those students 3/7 play the violin. Find the ratio of students who play the violin compared to the students who do not play the violin.

First step: Find the number of students out of the whole school who play the violin. 2/5 x 3/7= 6/35 (Simplest version of the fraction) Take the denominator to represent the number of students in...

Answered by Neha B. • Maths tutor

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