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Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first. Find the formula for the area of a circle: A= pi x r 2 We have been given the diameter so we need to work out what the radius is, half of the diameter...
JS
Answered by Joseph S. Maths tutor
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the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1) 4 = 4n - 2. the sum to n ter...
JL
Answered by Jake L. Maths tutor
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What is the next number in this sequence? 10, 13, 20, 31, 46, ...

Analyse the sequence to find the second order difference.10 13 20 31 46 75 3 7 11 15 19 4 4 4 4
FD
Answered by Frank D. Maths tutor
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Given that y = 5, solve the following equation for x, 9x - 3y = 97 - 5x

Subsitute y for 5 to give 9x - (3 * 5) = 97 - 5xCalculate the brackets 9x - 15 = 97 - 5xAdd 15 to both sides 9x = 112 - 5xAdd 5x to both sides 14x = 112Divide both sides by 14 x = 8
FD
Answered by Frank D. Maths tutor
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Solve for x, 4x+3.5 = 1

First, you regroup all numbers which are not factors of x on one side of the equation: 4x = 1 - 3.5 so 4x = - 2.5 Then, you isolate x: x = - 2.5/4 x = - 5/8 = - 0.625
JS
Answered by Jade S. Maths tutor
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