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Simplify (a) p^2× p^5 (b) Simplify g^6 ÷ g^4

This question involves indices. To calculate the parts, we need to know some indices rules and what they are. Let's look at b^3 - b is the base number and 3 is the power number which shows how many times b h...
BS
Answered by Bessie S. • Maths tutor
4493 Views

Ben wants to book tickets to see a concert. The price of the ticket is £65. He must also pay a booking fee, which is 15% of the ticket price. Ben has £75, does he have enough money to pay for the ticket and booking fee?

The first step is finding what 15% of 65 is, i.e, calculating the booking fee. This can be done by multiplying 65 by 0.15 (0.15 being what 15% would be, if expressed in decimal form).65 x 0.15 = 9.75.This se...
BF
Answered by Benjamin F. • Maths tutor
3721 Views

Tom is making gift bags, each of which will contain two balloons. He wants to hide a sweet in one of the balloons. 20 balloons cost £1.33, 15 sweets cost £2.05. What is the minimum he needs to spend to make 35 bags?

First work out how many balloons he will need to buy . In order for each bag to have two balloons , he will need 70 balloons. Since he can buy 20 balloons at a time , this implies the minimum number he would...
PT
Answered by Peter T. • Maths tutor
3367 Views

Which of these lines are parallel to y=2x+3? Which are perpendicular? Options: 1) y=5x-4, 2) y=-1/3x+3, 3) y=-1/2x-1, 4) y=2x-2/3

There are two ways of doing this question, one would be to sketch the graphs and see which are parallel to and which are perpendicular to the original line. Whilst this is valid, sketching lines isn’t always...
PT
Answered by Peter T. • Maths tutor
5615 Views

How do I differentiate an algebraic expression? (e.g. y=3x^4 - 8x^3 - 3) [the ^ represents x being raised to a power]

y=3x 4 -8x 3 -3 Let's say we want to calculate dy/dx. For a term A x n , the differential with respect to x is An x n-1 . For a constant value, we can say that n=0 because x 0 =1. This means that when you di...
PC
Answered by Patrick C. • Maths tutor
4009 Views