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Solving a quadratic with ax^2 e.g. 2x^2 - 11x + 12 = 0

To solve the equation in the form (ax + b)(x + c): Method 1 Rewrite the x term as the sum of 2 different x terms. Start by multiplying the x^2 term and the final number term, to give 24. The two x terms shou...
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Answered by Andrea W. • Maths tutor
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Charlie goes to the shop and buys six cookies, three ice creams, and four chocolates. Cookies cost 60p, Ice creams cost £1.70 and chocolates cost 65p. How much does Charlie spend?

To find out how much Charlie spends in total, you have to figure out how much he spends on each type of thing, and then add them together. To find how much he spends on each kind of thing, you have to multip...
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Answered by Dan T. • Maths tutor
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Solve for x, y, and z: 5x - 2y = 19 , 3x + 3z = 21 , y + z = 2

Like when there are two unknowns, the best way to solve this kind of problem is to rearrange and substitute, but because there are three unknowns, it's a bit more fiddly. To solve this you want to pick and i...
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Answered by Dan T. • Maths tutor
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Shower-cleaner liquid is sold in spray bottles. The volume of liquid in a bottle may be modelled by a normal distribution with mean 955 ml and a standard deviation of 5 ml. Determine the probability that the volume in a particular bottle is:

a) at most 960 ml Let X be the volume of liquid in a particular bottle, then we want to find P(X <= 960). We first need to transform from X to Z (to the standard normal distribution) so that we can use th...
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Answered by Sarah S. • Maths tutor
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A gym has 275 members. 40% are bronze members. 28% are silver members. The rest are gold members. Work out the number of gold members.

Firstly, we can calculate the total percentage of gold members = Total - bronze - silver Therefore, %gold = 100% - 40% - 28% = 32% So we know that 32% of 275 members are gold, and to find the total number of...
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Answered by Sarah S. • Maths tutor
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