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Jason and Mary leave their houses at the same time. They travel towards each other, Mary at 20km/h and Jason at 15km/h. They pass each other after an hour and a half. What was the original distance between them when they started?

Mary = 20km/h Jason = 15km/h s = d/t After 1.5 hours, Mary = 30km and Jason = 22.5km 30 + 22.5 = 52.5km

Answered by Zac C. • Maths tutor

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Solve y = x^2 + 3x + 2 = 0

Factorising gives: y = (x+2)(x+1) = 0. y only equals 0 when (x+2)=0 or (x+1)=0. Therefore x=-2 or x=-1

Answered by Sean L. • Maths tutor

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Solve the simultaneous equations 3x +y =11 and 2x+y=8

Equation 1: 3x+y= 11, Equation 2: 2x+y=8. You want to find out what x is and what y is.In both equations there is only 1 unit of y therefore it is easiest to rearrange the first equation so that it equals...

Answered by Kathryn M. • Maths tutor

3982 Views

White paint costs £2.80 per litre and blue paint costs £3.50 per litre. White and blue paint are mixed in the ratio 3 : 2. How much does it cost to make 18 litres of this mixture?

18/(3+2)=3.63x3.6=10.8 2x3.6=7.210.8x2.8=30.247.2x3.5=25.230.24+25.2=55.44

Answered by David C. • Maths tutor

2778 Views

Write x^2 - 6x +7 in the form (x+a)^2 +b

Follow standard procedure that can be taught on a whiteboard. In general:ax^2 + bx + c = (x+b/2)^2 - (b/2)^2 + csox^2 - 6x + 7 = (x-3)^2 - (9) + 7= (x-3)^2 - 2

Answered by James C. • Maths tutor

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