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Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. ( 4 marks )

9.4 =( 3 + 5 + 10 + 12 + x ) / 5=> 9.4 x 5 = 30 + x=> 47-30 = x=> 17 = x

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Solve this simultaneous equations, clearly showing all of your workings: x^2 + 2y =9, y - x = 3

Equation 1: x²+ 2y = 9Equation 2: y - x = 3
Rearrange equation 2: y = 3 + x
Substitute y = 3 + x into equation 1x² + 2(3 + x) = 9x² + 6 + 2x = 9x² + ...

Answered by Ella-May J. • Maths tutor

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Solve 2y + 17 = 6y + 5

Subtract 2y from both sides:4y = 12Divide by 4:y = 3

Answered by Sam B. • Maths tutor

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Solve the simultaneous equations, make sure to show clear algebraic working: 3x + 5y = 14, 4x + 3y = 4

3x + 5y = 14 (times this entire equation by 3) --> 9x + 15y = 42 4x + 3y = 4 (times this entire equation by 5) --> 20x + 15y = 20Now both of the simultaneous equations have 15y, so you can subtract ...

Answered by Alexander T. • Maths tutor

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Gemma has the same number of sweets as Betty. Gemma gives 24 of her sweets to Betty. Betty now has 5 times as many sweets as Gemma. Workout the total number of sweets that Gemma and Betty have.

Number of sweets = xG=B Gemma and Betty have the same number of sweetsx=x 5(x-24) = x +24 Gemma gives 24 of her sweets to Betty. Betty now has 5 times as many sweets as Gemma.5x - 120 = x + 245x -x = 24 +...

Answered by Kate B. • Maths tutor

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