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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
1525 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 2logan - loga(5n-24) = loga(4)

CS
Answered by Cara S. Maths tutor
5501 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
3572 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) = 233x+7 = 8(x-1)3x+7-8x+8 = 0 -5x+15 = 0 x= 3

CF
Answered by Catriona F. Maths tutor
2236 Views

There are 11 pens in a box, 8 are black, 3 are red. Two pens are taken out at random without replacement. What is the probability the pens are the same colour?

For the pens to be the same colour either two black pens need to be selected OR two red pens. So start with the probability of two black pens BB: On the first selection the probability of taking a black p...

GI
Answered by Georgia I. Maths tutor
6193 Views

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