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Thomas wants to see how far he can throw a javelin. He records four of his throws as 45 metres, 40 metres, 55 metres, and x metres. Given that the mean of Thomas' throws is 50, determine the value of x.

Answer is 60.
MC
Answered by Matthew C. • Maths tutor
3601 Views

Solve the simultaneous equations 2x - 3y = 7 and 3x + 4y = 2. Do not use trail and improvement.

[ 2x - 3y = 7 ] *3 = [ 6x - 9y = 21 ] [ 3x + 4y = 2 ] *2 = [ 6x + 8y = 4 ] [ 6x + 8y = 4 ] - [ 6x - 9y = 21 ] = [ 17y = -17 ] Therefore, y = -1. Substituting y = -1 into the original equations and solving fo...
EH
Answered by Elizabeth H. • Maths tutor
15168 Views

How do I find the highest common factor of two numbers?

The factors of a number are all the numbers that divide into it, so the HCF of two numbers is the highest number that is a factor of both numbers. I'd work it out by create a list of all of the prime factors...
OB
Answered by Olivia B. • Maths tutor
7926 Views

Factorise and solve x^2-9x-10=0

x 2 -9x-10=0 Find two numbers that add to equal -9 and mulitiply to equal -10 These numbers are -10 and 1 so this equation factorises to equal (x-10)(x+1)=0 Now find the values of x that would make the left ...
LL
Answered by Laura L. • Maths tutor
10897 Views

A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?

(a) Gradient (m) = (y 2 -y 1 )/(x 2 -x 1 ) = (10-4)/(1-(-2)) = 6/3 = 2 (b) General equation of a straight line: y = mx + c (c = y-intercept) For our straight line: y = 2x + c Test points: 4 = 2(-2) + c ---&g...
SB
Answered by Samuel B. • Maths tutor
14705 Views