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Maths
GCSE

3 postitive whole numbers have a mean of 6. What is the greatest possible range of the numbers?

15: (x+y+z)/3 = 6 so, x+y+z = 18.Range = highest number - lowest number. For the max range, at least 1 of the numbers must be 1. 1,1,16. 16-1 = 15

JW
Answered by Jade W. Maths tutor
6882 Views

X^2+4x-21=0 Solve for x

Quadractics factorise into double brackets like (x-a)(x-b). We ave to find the facors of -21 which add to make +4. 7 and -3 suffice. (x-3)(x+7) Then x will be equal to 3 and -7 for the equation.

JC
Answered by James C. Maths tutor
4044 Views

Solve this pair of simultaneous equations: 3x + y= 7 and 3x - y = 5

Step 1: Start off by labeling the 2 equations. 3 x + y = 7 will be equation 1. 3 x - y = 5 will be equation 2.

Step 2: rearrange equation 1 to make y the subject. 3 x + y = 7 ---> y = 7 - 3 x (h...

AG
Answered by Anna G. Maths tutor
14438 Views

Solve the simultaneous equations 2a + b =4 and 5a – 3b = -1

When you solve normal equations like 4x-2=7, there is one equation and one unknown value. This case is no different: in order to solve these equations, you need to create one equation with one unknown. We...

MM
Answered by Molly M. Maths tutor
13810 Views

Sam and Jack share out £80 in the ratio 5:3, in that order. How much do they each get?

First, you add the 5+3 to get 8. Now you know there are 8 'portions' of the £80 needed to be shared out. So £80/8 is 10. Sam needs 5 portions so 5x10=50 and Jack needs 3 portions so 3x£10 is £30.

BP
Answered by Bradley P. Maths tutor
25532 Views

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