Top answers

Maths
All levels

The cost of a ticket increases by 10% to £19.25. What is the original cost?

The best way to approach this question is by solving it algebraically. By constructing an equation that links the original cost to the current cost (let original cost be X), this would give you X*(1+10%) ...

RL
Answered by Robin L. Maths tutor
11977 Views

Prove by induction that 7^(8n+3) + 2 is divisible by 5, where n is a natural number.

We need to first consider the base case, n=0. (We consider the smallest possible value of n as the base case.)7^(80+3) + 2 = 343 + 2 = 345 = 69 * 5, so the statement is true for n=0.
Assume true ...

MP
Answered by Mingke P. Maths tutor
5836 Views

Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.

Tree diagramP(Head then tail) = p(1-p)=6/25Solve above equationp=2/5 as heads are more likely than tails.

MS
Answered by Muhammed S. Maths tutor
2506 Views

Find the solution of the differential equation: dy/dx = (xy^2 + x)/y. There is no need to rearrange the solution to be in terms of y.

This is a separable differential equation, so the first step is to separate the two variables. Factorise out the x from the top bracket so that the equation becomes: dy/dx = x(y^2+1)/yThe next step is to ...

TS
Answered by Thomas S. Maths tutor
3070 Views

Simplify fully (3x^2-8x-3)/(2x^2-6x)

First I would look for common factors in either the numerator or the denominator. The denominator has the common factor of (2x) so i would factorise it by 2x in order to give (3x2-8x-3)/(2x)(x-...

JA
Answered by James A. Maths tutor
2752 Views

We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences