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Work out the value of 2a^2 + b^3 when a = 5 and b = –3

To work out the values you need to sub in a and b into the equation, giving you: 2(5) 2 + (-3) 3 From this we use the rules of BODMAS to first complete the orders and obtain: 2*25 + (-27). Again using BODMAS...
KM
Answered by Kyle M. Maths tutor
5896 Views

Each day Chen buys pasta or a sandwich. Where Pasta costs £3.20 and Sandwich costs £2.75. For 45 days, the relative frequency of Chen buying a sandwich was one fifth. Altogether, how much did he pay?

Firstly work out how many days Chen bought a sandwich, which was one fifth of 45 days. So 45/5 = 9. We then multiply 9 by the cost of a sandwich, 9 2.75 = 24.75. The remaining days Chen must have bought Past...
KM
Answered by Kyle M. Maths tutor
3934 Views

Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.

To begin we need to simplify the expression. First we multiply out (4x–5)^2 to get 16x 2 +40x+25 and then we multiply out 5x(3x – 8) to get 15x 2 -40x. This makes the whole expression 16x 2 +40x+25-(15x 2 -4...
HW
Answered by Hannah W. Maths tutor
10346 Views

Calculate the angle x in the following diagram. The area of the square is 16cm squared and the total area is 36.6cm squared.

This question was very difficult to explain through words; if it were to be used in a question paper, it would be presented as a diagram. I intend to use the whiteboard during the inteview to explain both th...
DP
Answered by Daniel P. Maths tutor
6873 Views

Solve the simultaneous equations: 3x + 2y =4 4x + 5y =17

You are trying to find out the value of 'x' and the value of 'y'. This means that you need to be able to take away one equation from the other. 3x + 2y = 4 - we are going to times this equation by 4 = 12x + ...
EW
Answered by Ellie W. Maths tutor
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