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Solve the following simultaneous equations for x and y : 2x - y = 12; x + 3y = 20

When solving equations such as these we have two variables which represent two numbers. In order to solve them we want to isolate and remove one of the variables so we are only left with one, we do this by m...
AS
Answered by Alexander S. • Maths tutor
7814 Views

How do you add fractions? And how do you multiply fractions?

Addition of fractions involve the finding of a common denominator. This would aid the addition. The multiplication of fractions can be made much easier through finding if they can be made smaller through bas...
DT
Answered by Devina T. • Maths tutor
3905 Views

In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.

office that is females with glasses=(2/3) (1/4)=1/6 office that is males wearing glasses=(1/3) (3/8)=1/8 (1/6)/(1/8) = 8/6=4/3 so there is a ratio of 4:3 women to men wearing glasses 84*(4/7)=12 4=48 women w...
WJ
Answered by William J. • Maths tutor
16943 Views

Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.

Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2: fi...
SW
Answered by Sacha W. • Maths tutor
12556 Views

Given the area of the pool is 63m^2, what is the value of x?

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x 2 +10x+240 = x 2 +10x-390 = (x-3)(x+13) x-3=0 so x=3x+13=0 gives x=-13, which cannot be ...
TG
Answered by Toby G. • Maths tutor
3425 Views