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Rana sells 192 cakes in the ratio small : medium : large = 7 : 6 : 11. medium cakes are worth double small ones and large cakes triple small ones. If the cakes go for £532.48 how much is a small cake worth

First we can work out the actual number of small medium and large cakes. To do this we first add the ratio numbers together7+6+11 = 24We then divide the number of total cakes by this ratio number 192/24 = 8T...
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Answered by Oliver R. • Maths tutor
10061 Views

Jo wants to work out the solutions of x^2 + 3x – 5 = 0 She says, ‘‘The solutions cannot be worked out because x^2 + 3x – 5 does not factorise to (x + a)(x + b) where a and b are integers.’’ Is Jo correct?

She is not correct. We can solve a quadratic equation in other ways. The easiest way is to use the formula for quadratic equations.x = (-b +/- sq. root (b^2 - 4ac) / 2ax = -3 +/- sq. root 3^2 - 4x -5 / 2 x 1...
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Answered by Kirsty A. • Maths tutor
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The range of a set of numbers is 15 1/4. The smallest number is –2 7/8. Work out the largest number.

First we need to understand what the range is. It is the difference between the smallest and largest numbers in a sample or list or numbers. If we add the range on to the smallest number we get the largest n...
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Answered by Kirsty A. • Maths tutor
11675 Views

Solve the following simultaneous equations: 3y=7+5x (1) 9x=-7y-4 (2)

Rearrange (2): x=(-7y-4)/9Substitute the value of x from (2) into (1): 3y=7+5*(-7y-4)/9 Simplify and rearrange for y: y+(35y/27)=(7/3) -(20/27)Resolve for y: y=43/62Substitute y into (1): (3*63)/62=7+5xRearr...
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Answered by Tutor510286 D. • Maths tutor
3221 Views

Solve x(x-1)-12=0

Expand the brackets to find x 2 -x-12=0Factorise the equation to find (x-4)(x+3)=0Check it expands to equal x 2 -x-12=0Find the value of x as:x+4=0 therefore X=4x-3=0 therefore X=-3
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Answered by Sarah W. • Maths tutor
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