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For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.

This question can represented in algebraic form:
ABC Taxis = 0.8x + 5XYZ Taxis = 1.2x + 3
Noting that the units must be consistent throughout the question, so we have changed the pence into mile...

EM
Answered by Euan M. Maths tutor
2837 Views

Briefly describe the different steps of mitosis (6 marks)

There are 4 clear phases in mitosis that need to occur in a specific order so that a cell can successfully copy it's DNA and then divide. They are; prophase, metaphase, anaphase t...

BH
Answered by Ben H. Biology tutor
11695 Views

Sketch the graph of y=3sin(2x +pi/2)

Understand what each tranformation does.Sketch in progressive steps, by considering what happens to important points, intersections and max/min values. i.e First 3sin(x)Then pi/2 translationThen 2x transf...

JT
Answered by James T. Maths tutor
3061 Views

Determine (27/8)^3/2

Understanding we can split it into numerator and denominator and find individually.Understanding that ^1/3 is same as cube root and why, by considering that ^2 is squaring27^2/3 = 3^2 = 98^2/3 = 2^2 = 4 =...

JT
Answered by James T. Maths tutor
2816 Views

Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: ...

MF
Answered by Megan F. Maths tutor
4696 Views

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