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Maths
GCSE

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

first combine into one ratio by finding lowest common multiple between common category so houses:flats:bungalow = 14:8:5. then for every 5 bungalows to every 14 houses so 50/5 = 10 and 10 x 14 = 140. so t...

Answered by Maths tutor
4585 Views

A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.

Area of rectangle is 20 cm2. The new area of the enlarged rectangle is the original area, 20 cm2, times the area scale factor. We are only given the length scale factor, therefore, w...

PB
Answered by Paulina B. Maths tutor
4038 Views

Solve 7(x+2)=5x+21

The first thing we must realise is that there are brackets in this equation and thus this has to be dealt with. We expand out the brackets on the left side by multiplying 7 by x and 2 to obtain '7x+14'. W...

Answered by Maths tutor
3325 Views

Draw a graph of x = (y+4)/4.

Note: There are multiple ways to do this, so find a way that works for you!Step 1: Get rid of the fraction.Step 2: Rearrange the new formula into y = mx + c.Step 3: Find the y-intercept and the x-intercep...

TN
Answered by Tarin N. Maths tutor
2862 Views

How do you solve simultaneous equation where one of them involves powers?

Example: y - 3x = 2 , x2 + y2 = 4 y= 3x + 2 x2 + (3x+2)2 = 4 10x2+ 12x + 4 = 4 10x2+12x=0 x(10x+12)=0 x=0 or x=-1.2 y=30 + 2 = 2 (0,2)...

LF
Answered by Luke F. Maths tutor
2727 Views

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