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You have twice as many 20 cent coins as 10 cents coins and half the number of 5 cent coins as 10 cent coins. If you have R4,20 altogether, find out how many of each coin denomination do you have?


Set solo takes 9hours 25minutes to complete a long walk. She walks (3t+2) km at 3km/h and further (t+4)km at 2km/h

1.express 9hours 25min in hours only. Leave your answer as an improper fraction

2.solve for t in the equation 9t+16 decide by 6 =113 over 12


Solve the equation 1 + 2log (x+1) = log (2x+1) = log (2x+1) +log (5x+8)


Illustrate the graph of the given one-to-one function and its inverse.
Activity 13.2
1. f(x) = 3x - 4
2. f(x) = 5x + 3
3. f(x) = 7-5
4. f(x)
x-2
3
5. f(x)
x + 3
2​
Represent this rational equation through table and graph. Identify whether the graph
forms a straight line or a curve.

P(x) = x2+1/x+1

Find all values of x satisfying |x-2| = x + 4


The volume of a box V

V, varies with some variable x

x as V(x)=x^3 - 12x ^2 + 44x -48

V(x)=x3

−12x2

+44x−48 cubic metres. If (x - a)

(x−a) metre is the measurement of one side of the box, then find the value for a

a.


The volume of a box V, varies with some variable x as V(x) = x3-12x2+44x-48 cubic metres. If (x - a) metre is the measurement of one side of the box, then find the value for a


The distance between cities  X  and  Y  is equal to  78  kilometers. A cyclist leaves  X  and goes to  Y  at a constant speed of  13  kilometers per hour. At the same moment, a motorcyclist leaves  Y  and goes towards  X , the speed of the latter can vary between  35  and  41  km/h throughout the journey. After meeting each other, the motorcyclist goes  14  minutes more towards city  X , and then turns back and returns to  Y . What is the minimum difference in time the cyclist and the motorcyclist arrive to  Y ? Express the answer in minutes.


There are 17 boys and 12 girls in a mathematical club. For playing some game, the teacher has to distribute chips among the children (their total number is equal to K, and all of them have to be given). It is necessary that all the boys have the same numbers of chips, all the girls have the same numbers of chips, and each of the children has at least one chip. It has turned out that the teacher can distribute the chips in a single way. Determine the largest possible value of K.