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y=2x+5 and y-x=8. Find x and y.

The expression (2x+5) has the same value as y, and so we can use (2x+5) instead of y in the second equation. This means that we are now just dealing with one variable (x) instead of two (x and y). If we m...

SR
Answered by Smriti R. Maths tutor
10714 Views

Find the length of a side of the triangle (Pythagoras' Theorem) Two sides are of length 3cm and 4cm, find the length of the Hypotenuse.

a= 3= 9, b= 4= 16, a+ b2 = 32 + 42 = 25, c2 = 25, c = 5

AD
Answered by Andrew D. Maths tutor
2671 Views

Mike paid a total of £4.69 for a chocolate bar, a bag of crisps and a jar of jam. The jar of jam costs £2.19. The chocolate bar costs 57 pence. How much did the bag of crisps cost?

There are two methods of solving this question. First let's look at the prices we already know. The jar of jam is £2.19, or else said 2 pounds and 19 pence. The chocolate bar is 57 pence, so not a whole p...

DZ
Answered by Daniela Z. Maths tutor
2206 Views

Find tan(A-B) sec^2(A) - 2tan(A) = 16 && sin(B)sec^2(B) = 64cos(B)cosec^2(B)

@tan(A) = 5, tan(B) =4, tan(A - B) = 1/21

@tan(A) = -3, tan(B) = 4, tan(A - B) = 7/11

I can demonstrate how the answers can be obtained during the session.

FS
Answered by Fedor S. Maths tutor
3088 Views

There are 892 litres of oil in Mr Aston’s oil tank. He uses 18.7 litres of oil each day. Estimate the number of days it will take him to use all the oil in the tank.

Estimate, so: 900 litres, and 20 litres per day. 900/20 = 45 However, any estimation that results in an answer between 44-56 is acceptable.

CL
Answered by Christopher L. Maths tutor
8733 Views

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