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Given the two equations [1](3x + 4y = 23) and [2](2x + 3y = 16), find the values of x and y

One way to find the values of x and y is to substitute the value of x into one of the equations. To sub in x we need to rearrange an equation to get x on its own. We can change the second equation to x = (16...
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Answered by Stephen H. • Maths tutor
3815 Views

A brother and sister share some pocket money together in the ratio of 4:7. The brother receives £18 less than his sister. How much pocket money do the brother and sister get each?

The brother receives £18 less, meaning the sister receives £18 more than the brother.7 - 4= 3. This means that 3 parts of the ratio is equal to £18, therefore 1 part of the ratio is equal to £6.Brother gets:...
JD
Answered by Jojo D. • Maths tutor
3280 Views

Why was Italy not unified from 1848-9

Firstly, there was disagreement over the role of Austrians in Italy which ultimately led to Austrians remaining in control of the region. Austrian control of Italy ensured that Italy could not fully unify. L...
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Answered by Amber B. • History tutor
14083 Views

A block of mass M lies stationary on a rough plane inclined at an angle x to the horizontal. Find a general expression relating the coeffecient of friction between the block and the plane and the angle x. At what angle does the box begin to slide?

The first step to any problem is to draw a suitable diagram. Here we draw a free body diagram, marking the angle x, the friction force F, normal reaction force N and weight of the block M g. "Stationary...
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Answered by Elliot G. • Maths tutor
3167 Views

X Ltd is selling their only product at 12.50 per unit and they have managed to sell a total of 3000 units. They currently have total costs at £32000, £15000 of which are Fixed costs. How much is the total revenue and the total Variable costs?

Total revenue = Units sold x selling priceSo £12.50 x 3000 = £37,500Fized costs = £15000Vaeiable costs = £32,000 - £15,000 = 17,000
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