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3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14...

EP
Answered by Emily P. Maths tutor
9269 Views

how do you work out the gradient and point of interception of a linear graph given some coordinates

plot the coordinates to obtain a straight line graphcalculate the gradient by using the equation m=change in y/change in xfind the point of interception by seeing where the line crosses the y axis, where ...

KP
Answered by Katrina P. Maths tutor
2676 Views

Traduisez la phrase suivante: ma mère veut que j'aille à l'université mais je préfèrerais trouver un emploi; translate the following sentence: last week, I bought a book and I am going to read it tomorrow

My mother wants me to go to university but I would prefer to find a jobLa semaine dernière, j'ai acheté un livre et je le lirai demain

JP
Answered by Julia P. French tutor
2510 Views

f(x) = e^(sin2x) , 0 ≤ x ≤ pi (a). Use calculus to find the coordinates of the turning points on the graph of y = f(x)

First, understand the concept of a turning point (zero gradient, implying first derivative is zero at the turning point)How do we differentiate exponentials ( if f(x) = e^g(x) then f'(x) = g'(x)*e^g(x) ) ...

MW
Answered by Marco W. Maths tutor
6369 Views

How do I solve simultaneous equations?

The elimination method
2x + 3y = 83x + 2y = 7
First we multiply one or both of the equations so that one of their like terms share the same coefficients.
2x + 3y = 8 (multi...

JG
Answered by Joe G. Maths tutor
4020 Views

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