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John left home at 13:55 and reached the shops at 15:20.  How long did his journey take?

Work out number of minutes from 13:55 to next hour (14:00) which is 5 minutesCalculate number of whole hours until 15:20 so 1 whole hour = 60 minutesCalculate number of minutes from 15:00 to 15:20 so 20 minu...
MJ
Answered by Maryum J. • Maths tutor
3296 Views

At the shop, Max buys 5 juice boxes and 12 sweets which costs him £1.34 in total. If x represents the cost of one juice box (in pence) and y represents the cost of one sweet (in pence), write out an equation, in terms of x and y, to show this

5x + 12y = 134
MJ
Answered by Maryum J. • Maths tutor
1784 Views

It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.

Given 2log a n - log a (5 n -24) = log a (4) , we can rearrange to have all the "2logs" on one side and the "logs" on the other.So, 2log a n = log a (4) + log a (5 n -24) . Using the laws...
CS
Answered by Cara S. • Maths tutor
5988 Views

Solve the following equation for x: x^2 - 4x - 17 = 4

First, take 4 from both sides of the equation to get everything on the LHS:x^2 - 4x - 17 - 4 = 4 - 4 so we have x^2 - 4x - 21 = 0We are looking to factorise the equation in the following way:(x + a)(x + b) =...
JH
Answered by Jennifer H. • Maths tutor
4041 Views

Solve log_2(3x + 7) = 3 + log_2(x – 1), x > 1.

Begin by collecting log_2 terms.log_2(3x + 7) - log_2(x – 1) + = 3 Using the rule of log terms we getlog_2((3x+7)/(x-1)) = 3 (3x+7)/(x-1) = 2 3 3x+7 = 8(x-1)3x+7-8x+8 = 0 -5x+15 = 0 x= 3
CF
Answered by Catriona F. • Maths tutor
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