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Maths
GCSE

There are 40 pencils in a box. There are 15 pens in a packet. John gives one pencil and one pen to each person at a conference. He has no pencils or pens left. How many boxes of pencils and how many packets of pens did John buy?

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120 Mulitples of 40: 40, 80, 120 This means that there are 120 people at the conference, and that he sold 3 boxes of pencils (40x3=120) and 8 boxes of pens (1...

AP
Answered by Anastasia P. Maths tutor
23513 Views

What is the solution to the system of equations defined by (1) x+2y = 4 and (2) y+2x = 6?

We rearrange equation (1) to obtain an expression in terms of x. We then substitute this expression in place of x in equation (2), rearranging to find the numerical value of y. This value of y can then be...

JH
Answered by Jake H. Maths tutor
3438 Views

x^2 - x - 90 = 0. Solve to find x.

Comparing to this to ax^2 + bx + c = 0, you'll find that a=1, b=-1, c=90. You need to split b (in this case -1), into two numbers that add up to b (-1), and multiply to ac (90). -> These are -10 and 9....

YL
Answered by Yanakan L. Maths tutor
3701 Views

There are 30 balls in the bag, 10 of which are blue. Adam takes 2 balls out of the bag without a replacement and calculated that there is a probability of 0.2 of both balls being blue. What percentage error did he make compared to the true probability?

True probability of 2 consecutive balls picked being blue: (10/30)*(9/29)=3/29 which is 0.1034 (4 d.p.)

3/29-100% 0.2-x% so, x=0.2*100/(3/29)= 193.3 (1 d.p.) therefore Adam's result is 93.3 % (1 d....

DK
Answered by Deimena K. Maths tutor
3463 Views

Solve 7x=4(x-8)

The first thing you need to do to make this easier is to multiply out the brackets so that you can then move all the 'x' terms to one side and all the numbers to the other side. It would become: 7x=4x-32 ...

MU
Answered by Megha U. Maths tutor
5335 Views

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