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Maths
GCSE

A rectangular frame is made from 5 straight pieces of metal with height 5m and length 12m. One of the pieces of metal goes through the diagonal of the rectangle. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal

Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can u...

CB
Answered by Charlie B. Maths tutor
17158 Views

Expand and simplify (3x + 2)(4x - 3).

Firstly, to expand the brackets, we can use the FOIL method to multiply them out.First - multiply the first numbers of each bracket. 3x * 4x = 12x^2Outer - multiply the outer numbers of each...

VY
Answered by Vikki Y. Maths tutor
6110 Views

Alex wants to buy a new phone. It costs £280. Alex’s weekly wage is £420. He saves 15% of his wage each week. How many weeks does it take Alex to save enough money to buy the phone?

Total wage each week= £420. In one week, he saves 15% of this: 15% of 420 is 0.15 x 420 = £63. So he saves £63 in one week. To calculate the total number of weeks it takes to save up for the phone, divide...

AM
Answered by Alexandra M. Maths tutor
3465 Views

how do you solve a linear equation where there are unknowns on each side e.g. 4(k + 7) = 12k + 4

In order to solve this equation you want to get all of the unknowns on one side of the equal sign and all of the numbers on the other side. However, before you do this, the first step is to expand the bra...

MG
Answered by Molly G. Maths tutor
3184 Views

rearrange the equation y=7x-3 to make x the subject

The first step would be to have the x's on their own so add three to both sides so the equation goes from y=7x-3 to y+3=7x. The current subject is 7x= we need x= so both sides need to be divided by 7. Thi...

SG
Answered by Sam G. Maths tutor
10268 Views

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