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Solve 4(x-5)=18

There are 2 ways to solve this equation:Method 1:Expand the brackets by multiplying everything inside the brackets by 4 to make 4x-20=18Then +20 to both sides making 4x=38Then divide by 4 to find x, there...

Answered by Jessica S. • Maths tutor

18710 Views

write (x+2)(x+3)(x+5) in the form ax^3+bx^2+cx+d

First take (x+2)(x+3) and expand to get x²+3x+2x+6, which can be simplified to equal x²+5x+6.Then mutiple x²+5x+6 by (x+5). This will give you x³+5x²

Answered by Cora H. • Maths tutor

3271 Views

Alex designs a game for people to play, using two fair five-sided spinners. A person wins the game when both spinners land on the same letter. People pay 40p for each game they play. The prize for a win in £1. Is she likely to raise money?

In order to raise money, we need the average number of wins to be smaller than the average number of losses by at least a factor of 0.4.
The average number of wins will be the number of games multipl...

Answered by Megan L. • Maths tutor

2963 Views

Sam works for £14 per hour. When Sam works more than 8 hours a day, he is paid overtime for each hour he works more than 8 hours at 1½ times his normal rate of pay. Sam worked for 12 hours. Work out the total amount of money Sam earned.

Find the wage received from normal rate= 8x14=112. We then find the wage received from working overtime by finding the number of extra hours worked (12-8=4) multiplied by the overtime wage of (1½ x14= 1.2...

Answered by Joseph C. • Maths tutor

5365 Views

A quarter circle has a radius of 8, calculate the area giving your answer in terms of pi

area of a circle = pi x radius^2
64pi/4 = 16pi
Student must be aware of the equation for the area of a circle and that they must divide by 4 to get the answer here

Answered by Sam D. • Maths tutor

7522 Views