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Work out ∛16 as a power of two. (AQA GCSE Higher paper 2017, Q24b)

When you're working with fractional indices, I find the following rhyme really useful:"Fractional indices are like a flower: the bottom's the root, the top's the power".We have a cube root here, wh...
RD
Answered by Ruth D. • Maths tutor
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Two apples and three bananas cost a total of £1.30. Seven apples and one banana cost a total of £1.70. Find the cost of a) one apple and b) one banana.

First, look at the key information from the question and form an equation for each of the first two sentences. These equations are as follows (let a represent the number of apples and b represent the number ...
JS
Answered by James S. • Maths tutor
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Solve for x and y: 2x +5y + 5= 0 , 2y + 31= 5x

For a question like this you should aim to eliminate either x OR y from one equation in order to deduce the value of the other. 1) 2x +5y + 5= 0 , 2) 2y + 31= 5x Rearrange equation 2) so that 2y +31= 5x --&g...
TD
Answered by Tutor114325 D. • Maths tutor
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By which two processes does glucose enter cells in the human body?

Active transport and diffusion. Glucose is transported by active transport, against the concentration gradient, from the gut into intestinal epithelial cells. Whereas glucose is transported by facilitated di...
RS
Answered by Robert S. • Biology tutor
18384 Views

A cuboid has length x cm. The width of the cuboid is 4 cm less than its length. The height of the cuboid is half of its length. The surface area of the cuboid is 90 cm^2 . Show that 2x^2 − 6x − 45 = 0

Take each side of the cuboid as an algebraic expression and multiply each by 2 to account for both sides of the shape. For example, (x)(x-4), which could be expanded to x 2 -4x, and then multiplied by 2 to r...
TM
Answered by Tom M. • Maths tutor
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