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Solve the following simultaneous equations to find x and y.

2x 2 - 2y = 282y - 4 = 12x y - 2 = 6xy = 6x + 2 Substitute y = 6x + 2 2x 2 - 2(6x + 2) = 282x 2 - 12x - 4 = 282(x 2 - 6x - 2) = 28x 2 - 6x - 2 = 14x 2 - 6x - 16 = 0(x - 8)(x + 2) = 0 if x = 8 then y = 50if x...
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Answered by Prahlad D. Maths tutor
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A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?

Pythagorus' theorem a^2 + b^2 = c^2 4^2 + 5^2 = c^216+25 = c^241 = c^2Root 41 or 6.403 = c
Answered by Maths tutor
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A teacher gives her students a maths test and they receive the scores: 4, 4, 7, 3, 9, 10, 5, 8. What was the mean score of the class?

To work out the mean, we first add up all of the scores so 4+4+7+3+9+10+5+8= 50. We then divide by the number of student who took the test, or the number of scores given, which is 8. Divide 50 by 8 to give u...
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Answered by Carmen L. Maths tutor
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Solve x^2+6x+5=0

Use factorisation to solve this. You must find a pair of numbers that add to make 6 and multiply to make 5. In this question, 5 and 1 add to make 6 and they also multiply to make 5. So the factorised equatio...
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Answered by Carmen L. Maths tutor
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Robin and Emma both buy cupcakes for a bake sale. Between them, they purchase 125 cupcakes for the bake sale. Emma buys 50% more cupcakes then Robin and gets a 20% discount. The total cost of the 125 cupcakes was £137.5. What is the price of one cupcake?

1 ) Identify the information given in the question:Total number of cupcakes bought: 125Number bought by Emma is 50% more than Robin: mathematically we write that was Emma = 1.5 Robin as 50% = 0.5 in decimals...
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Answered by Annelie B. Maths tutor
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