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Solve: 3x + 4 = x + 12

In this algebraic problem, we are faced with two unknowns (x's) on both sides of the equation. Remember that what we do to one side, we must also do to the other side. So to tackle this, we will first focus ...
TF
Answered by Tristan F. • Maths tutor
12731 Views

One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.

We are told that the probability that a randomly chosen teacher is female is 3/5, or 60%. This means that the overall proportion of female teachers at this school is also 3/5, or 60%. In turn, this means tha...
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Answered by Aleksandar G. • Maths tutor
4117 Views

Rearrange the following to make m the subject: 4(m - 2) = t (5m +3)

Expand the brackets: 4m - 8 = 5tm + 3t Collect all m variables to one side: 4m - 5tm = 3t + 8 Take a factor of m out: m(4 - 5t) = 3t + 8 Divide both sides by (4 - 5t): m = (3t + 8) / (4 - 5t)
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Answered by Emanuel D. • Maths tutor
5357 Views

Rationalise the denominator of (6 + 5√3 )/√3 Give your answer in its simplest form.

A key component of using Surds is knowing how to multiply them. As such √3 x √3 = 3, √4 x √4 = 4 and so on. The √ sign means the root of this number. On to the Question given we are asked to rationalise the ...
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Answered by Adam F. • Maths tutor
7607 Views

Solve for x: y=x^2-x-12

Apply the quadratic formula with a=1, b=-1, c=-12. This gives x=(1 plus or minus 7)/2 or x=4,-3.
TM
Answered by Tomas M. • Maths tutor
3606 Views