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Katie buys: 3 pens costing £2.20 each, 1 rubber costing £1.60 and 2 pencils. She pays with a £10 note and a £2 coin. She gets 20p change. What was the price of each pencil?

You can put this question into the form of an equation in order to solve it.Step 1: The total cost of the items is (10+2)-0.20= £11.80. Step 2: putting it in equation form: let x be the price of 1 pencil, we...
JW
Answered by Juliette W. • Maths tutor
4516 Views

Describe evolution by natural selection and how this may lead to speciation?

A given population of biological organisms will show considerable genetic variation. This is initially (relatively speaking) a result of random mutation. However, as factors affecting survival and reproducti...
MK
Answered by Mark K. • Biology tutor
3476 Views

When do I need to use the subjunctive?

In Spanish, the subjunctive mood is frequently used. A useful way to remember it is by using the acronym W.E.I.R.D.O :1) Wishes- the subjunctive will normally be used when wishing, wanting, or expecting etc....
MR
Answered by Mylan R. • Spanish tutor
2278 Views

Prove by mathematical induction that (2C2)+(3C2)+(4C2)+...+(n-1C2) = (nC3).

Firstly, show the equation is true for n = 3 (as this is the samllest n that nC3 is defined): LHS = (2C2) = 1 = (3C3) = RHStherefore, true for n=3. Then assume true for n = k:(2C2)+(3C2)+(4C2)+...+(k-1C2) = ...
HX
Answered by Henry X. • Maths tutor
16635 Views

log_10⁡((1/(2√2))*(p+2q))=(1/2)(log_10⁡p+log_10⁡q),p,q>0,find p in terms of q.

log 10 [(1/2√2) (p+2q)]=(1/2)(log 10 p+log 10 q)log 10 [(1/2√2) (p+2q)]=(1/2)(log 10 pq)log 10 [(1/2√2) (p+2q)]=log 10 (pq) 1/2 (1/2√2) (p+2q)=(pq) 1/2 (p+2q) 2 =8pqp 2 +4pq+4q 2 =8pqp 2 -4pq+4q 2 =0(p-2q)=0...
HX
Answered by Henry X. • Maths tutor
9132 Views