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Maths
GCSE

Solve the simultaneous equations x + y = 2 and x^2 + 2y = 12

x+y=2 (1) x2+2y=12 (2) As we are dealing with x2 we’re going to have to use substitution to solve this set of simultaneous equations. From the first equation, we can rearrange to mak...

Answered by Ayesha K. Maths tutor
4109 Views

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?Firstly, you need to find how long it would take to fill a...

Answered by paige g. Maths tutor
27700 Views

Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account.

Q: Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account: Interest 2.5% per annum Shares account: Interest 3.5% per annum Ali invests £2000 in the cash savings ...

Answered by Simran B. Maths tutor
5718 Views

Rob has a bag with white, black and blue counters. There are twice as many blue counters than there are white. A qaurter of all the counters are black. If there are 5 white counters, how many counters are in the bag.

White:blue is 1:2. (There are twice as many blue counters)if there are 5 white counters there are 10 blue counterswhite + blue = 15in the bag there are the 15 white and blue counters PLUS the blacki.e. In...

Answered by Aurimas K. Maths tutor
2966 Views

In a right-angled triangle calculate the length of the hypotenuse when the side lengths at 5cm and 7cm. Leave your answer as a surd.

Using pythagoras’ theorem:a^2 + b^2 = c^2
hypotenuse = sqrt(5^2 + 7^2) = sqrt(25+49) = sqrt(74)

Answered by Maths tutor
2440 Views

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