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Callum mixes a drink such that the Fruit Juice and Water is a ratio of 1:4 respectively. Calculate how much of both the Fruit Juice and the Water Callum will need in order to make 2 litres of juice. (Water: ____ml, Fruit Juice: ____ml )

A ratio of 1:4 means there are 5 parts to the mixture. 2 litres of drink divided into 5 parts means there are 400 ml per part (2000ml/5 parts). As Fruit Juice has 1 part, Callum would need 400ml. As Water ha...
CM
Answered by Charlotte M. • Maths tutor
25066 Views

Differentiate y=x^2cos(x)

using the product rule product rule is dy/dx=v.du/dx+u.dv/dx let u = x^2 and v = cos(x) du/dx=2x dv/dx = -sin(x) so dy/dx=2xcos(x)-x^2sin(x)
EM
Answered by Ellen M. • Maths tutor
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what is half of five-eights as a percentage?

(1/2)x(5/8)=5/16 100/16=6.25 6.25 x 5 = 31.25
DM
Answered by Devshi M. • Maths tutor
4167 Views

Talil is going to make some concrete mix. He needs to mix cement, sand and gravel (1: 3:5) by weight. Talil wants to make 180 kg of concrete mix. He has 15 kg of cement, 85 kg of sand, 100 kg of gravel. Does he have enough to make the concrete?

In order to answer this question you need to find out how much cement, sand and gravel is needed to make 180kg of concrete mix. To do this you must find out how many parts the concrete mix ratio is made up (...
KM
Answered by Katie M. • Maths tutor
34574 Views

The point A lies on the curve with equation y = x^(1/2). The tangent to this curve at A is parallel to the line 3y-2x=1. Find an equation of this tangent at A. (PP JUNE 2015 AQA)  

My exact explanation would depend on the students level of understanding. The following answer assumes a basic understanding of differentiation and equations of lines; a) Gradient of tangent is equal to grad...
SC
Answered by Sefret C. • Maths tutor
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