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In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

£29.40 represents 4/5 of xThus to find x, we must multiply 29.40 by 5/4: 29.40/4 = 7.35 (this is 1/5) 7.35 x 5 = 36.75 (this is 5/5, the original price) Original price = £36.75
RW
Answered by Robert W. • Maths tutor
4632 Views

Show that (1 - cos(2x)) / (1 + cos(2x)) = sec^2(x) - 1

First, take the side of the equation that looks most complicated because it often needs simplifying. This is the LHS in this case. The LHS has cos(2x) twice - therefore the double angle formula probably appl...
LG
Answered by Louis G. • Maths tutor
7291 Views

Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x

This term cannot be integrated in the form that it is in. We will have to do some algebraic manipulation to rewrite it. The term can be split into partial fractions because the denominator of the term has be...
LP
Answered by Lata P. • Maths tutor
3607 Views

What is the easiest way to calculate E cell values?

This is a calculation which students often find tricky. One fail-safe method for doing this calculation is considering E cell = E (reduced) - E(Oxidised). A more positive electrode potential means that a spe...
RD
48674 Views

Why does our heart rate increase when we run compared to when we are sitting?

Running demands a lot of energy in our leg muscles in order for them to contract and relax. Energy is released in the process of respiration which breaks down glucose into ATP. The equation for respiration i...
AM
Answered by Ayesha M. • Biology tutor
4188 Views