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Jamil has 5 litres of water in a container. He pours 750 millilitres of water into each of 6 bottles. (c) How much water is left in the container? Give your answer in millilitres.

5L water = 5000mL because 1L = 1000mL so multiply by 5 if 750mL is poured into 6 bottles, first need to see how much total has been poured. therefore, do 750mL * 6 = 4500mL so original = 5000mL minus what po...
EI
Answered by Elysa I. • Maths tutor
7449 Views

Use the geometric series formula to find the 9th term in this progression : 12 18 27...

Formula for nth term in a geometric progression = ar^n-1 workings: a=12 r=1.5 because 18/12 = 1.5 Thus, using ar^n-1 --> 12 * 1.5^8 = 307.54... or 308 (to 3sf) (In an ideal scenario question we'd be worki...
PF
Answered by Philip F. • Maths tutor
9057 Views

A tank contains 45 000 cm3 of water. The tank leaks at 0.75 litres/minute. How long does the tank take to empty?

The first thing to notice with this question is that the volume of the tank is given in cm 3 yet the rate at which the water leaks is in litres, so a conversion of units will be neccessary. We know that ther...
TG
Answered by Tom G. • Maths tutor
11947 Views

How would you show that a vector is normal to a plane in 3D space?

There are 2 main methods for finding a normal vector. If you know two vectors that lie in the plane e.g. (a,b,c) and (d,e,f), we can find a normal vector by calculating the vector/cross product of (a,b,c) an...
FK
Answered by Fionn K. • Maths tutor
29303 Views

Work out 416 + 49 + 274

739
IM
Answered by Isobel M. • Maths tutor
4240 Views