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Solve the simultaneous equations: 2x + 3y = 28 and x + y = 11

As the number of equations is the same as the number of unknowns, there is exactly one solution!We start by labelling the two equations:2x + 3y = 28 (1)x + y = 11 (2)There is more than one way to approach...

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Answered by Harry H. Maths tutor
12584 Views

The normal price of a television is £1200. It is reduced to £970. Work out the percentage reduction. Give your answer to 1 decimal place.

First we calculate the difference between the original price and the new price. This is £1200 - £970 = £230. We now divide this difference by the original price, and multiply it by 100 to find the percent...

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Answered by Harry H. Maths tutor
15265 Views

How can you find the integral of x^-1

The traditional rule for integration of a variable raised to a power is to raise the power by 1 and divide the answer by that new exponent. However, this rule leads to an answer of x^0 = 1, which can't...

AL
Answered by Angus L. Maths tutor
66119 Views

How fast are geostationary satellites moving?

From a Newtonian perspective, the equation for the speed of a satellite in circular orbit around the Earth at a radius r can be derived by equating centripetal acceleration to the acceleration due to g...

AL
Answered by Angus L. Physics tutor
3754 Views

Why does water expand when it gets cold while metals contract?

The temperature of a substance is a measure of the average kinetic energy (energy of movement) of the molecules within it. When molecules have less kinetic energy, they are moving slower on average and...

AL
Answered by Angus L. Science tutor
29443 Views

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