Maths

0.5 of a number is 12 what is the number?

This is a typical maths question in a NVR 11+/12+ test, I can help with all the types.

1 tenth of £1.00

please show long division answers

1/4 of km =?m

£20 is shared out between bob and katheryn in the ratio 1:3. what fraction of the £20 does bob get?

24n = 120. What is n?

25c^2+10c+1

2850 ml in litres

2x+5=x^2

3 monkeys ate a total of 25 nuts. Each one ate a different odd number of nuts. How many nuts did each monkey eat?

Carlos is ten years older than Jose. Five years ago Carlos was three times as old as Jose. How old is Jose now? here's what i have so far: jose=j carlos=10+j

five years ago carlos would be: (10+j)-5? i'm not sure if i'm doing this correctly. please help.

amul and kim have £10.70 between them. amul has £3.70 more than kim. how much does each have

working out!

An empty carton weighs 750 grams. Packet of crisps weigh 27 grams each. calculate the total weight (in grams) of a carton filled with 24 packets of crisps

Can someone please help me?

3/12 =4 so divide 3788 by answer im guessing

A veterinarian needs 60 pounds of dog food that is 15% protein. He will combine a beef mix that is 18% protein with a bacon mix that is 9% protein. How many pounds of each does he need to make the 15% protein mix. Define your variables and write a system of equations to solve.

I have seen questions before in GCSE papers that talk about expressing an answer to an appropriate degree of accuracy. What does that mean and how do I get the right answer?

how do you work out area of a triangle?

A circle of diameter of 30cm, enclose in a square of 30cm x 30cm, the square is divided in 3 parts 10cm x 30cm, the lower part is divided into a right angle triangle of 30cm (base) and 10cm (height), find the area between the 'circle' and the right angle triangle.

Assume that it costs Microsoft approximately C(x) = 57,600 + 550x + 0.01x2 dollars to manufacture x Xbox 360s in a day.How many Xboxes should be manufactured in order to minimize average cost? What is the resulting average cost of an xbox?

a) write down the expansion of (3x+5)3 and deduce the expansion for (3x-5)3 b) Hence find the exact solutions to the equation (3x+5)3 - /93x-5)3 = 730

hello, i was wondering if anyone could answer this question and explain, i will be happy if you do so.

'Work out each of these, giving your answers to the nearest penny.' a) £950÷24 b) £551÷12

n=1 to infinity Σ [ ln(n+1)*(-1)n+1/(n+1) ]

can anyone help me and explain how allegbra works??

Remove the brackets and simplify (x-4) (x-7)

In a system the probability that each individual component of type A will fail is 0.05, type B is 0.04 and type C is 0.01. Components A, B and C are independent. a. Calculate the overall probability that each system will work b. Is there any difference in the probability of these systems, why?

The numbers in brackets are powers

change 3/2 in to mixed numbers

So i found a question which i think looks and is tricky: 1/x = 1/a + 1/b Find x as the subject..Lead me through it please

Find the equation of the circumscribed circle of the triangle formed by three lines given by x+y=6, 2x+y=4 and x+2y=5.

Hi their, I am revising for my gcse exam in 5 weeks and a few topics that I'm struggling with is Circle Theorems and Trigonometry and so if anyone could help me I would be very grateful. Thank you so much!!!

Billy likes to go cycling. His bike of wheels has diameter 70cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 370 revoltions. How far has billy cycled? Give your answer to the nearest metre.

coast cost £24 reduced by25% gets further 10% off what is the price

what is 90% as a fraction

There are two graphs in the first quadant of a graph. One in the form y=(x+a)2 and one in the form y=mx+c. The two graphs intersect at two points/have two common solutions. The area of the intersect (the bit between where the lines intersect) is eqaul to one. What could the equation of the lines be?

For the functions f(x)=3x-12 and g(x)=(x/3)+4, find each of the following a) f o g (x) b) g o f (x)

140* (100+30/100) if the cost price is 140 and 30 percent up how do you find selling price,and where did the 100s come in lol

Convert 5kg into grams

Convert 68 out of 90 into a percentage

The line L passes through the points P ( -1,2) and Q (11,8). A) Find an equation for L in the form y= mx+c, where m and c are constants. ( I'm fine with this part of the question) B) The line Z passes through the point R (10,0) and is perpendicular to L. The lines L and Z intersect at the point S. Calculate the coordinates of S ( to find the coordinates of S you equate the first equation L to the equation of the second line Z and then find the values of x and y I think? Please correct me if I'm wrong) C) Show that the length of RS is 3 square root 5 (Use formula of finding the length of a straight line)

D) Hence, or otherwise, find the exact area of triangle PQR This is the part I'm struggling with, please answer if you can Thanks

please show as much working as you can and NO CALCULATOR PLEASE, :)

I have been reading many answered problems on this website earlier today and I have been doing some recent research on the topic of "zero" and "nothing". I was trying to relate this controversial topic about "nothing" and the number zero itself to Pythagoras and possibly the magic triangles and squares... I have been trying for the past few hours but nothing comes to mind. The value of zero in mathematics it much different to the meaning of "nothing" itself in physiology and physics so I thought it could become very interesting to relate the Zero and this whole topic about the DIFFERENCE BETWEEN NOTHING AND ZERO to the history and Pythagoras.

Solve (D2-3D+2)y =x(x+4) and show that its general solution is given by y=Aex + Be2x +(x2/2) + (7x/2) + (19/4)

My work :

auxiliary eqn , m2 - 3m + 2= 0 m=1 , m=2

Reduced eqn : yn = Aex + Be2x

P.I. = 1/f(D)F(x) = (1/(D2-3D+2))(x(x+4))

P.I. = [(x2+4x) + ( (1/2)( 2- 3(2x) - 3(4) ) ) + (1/4)(92) )

P.I. = x2 + (4x/2) - (6x/4) - (5/2) + (18/4)

P.I. =(x2/2) + x + 8/4

General solution : y= Aex + Be2x + (x2/2) + x + 8/4

Could anyone point out my mistakes?

differentiate f(t)=2-(2/3)t

y= x2 (2x+1)1/2

what is infinity divided by 30

find the equation of the line below arrange your answer in the form y=mx+b where b is constant (-2,2) (2,2)

Using the exact values for the sine and cosine of both 3π/4 and π/3, and the angle difference identity for cosine, find the exact value of cos(5π/12).

now this one i was slightly confused with....as we havent got this in out revision

factorising help please? 12x + 8y = 4

factorising help please? 12x + 8y = 4 can someone please explain factorisng this in simple and easy steps so i can do all the others.

a square has a vertex on each coordinate axis, a vertex at (19,99), and a vertex at (x,y). Find the value of the ordered pair (x,y)

x4/3 - 102/3 +21=0

find the equation of the tangent line to (e^xy)+(x^2)-(y^2)=5 through the point (2,0)

find the exact circumference of the circle that is 27m

an investor invested a total of 72, how much was invested in each mutual fund?

9x+5=7x+11

The midpoints of the sides of triangle ABC are (4,1) , E (-2,3) , F ( 1,-4). Use analytic geometry to calculate the coordinates of the vertices of triangle ABC

find two consecutive number's with a product of 121

Find two numbers with a total of 1000 and a difference of 238