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- A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled.
A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled. Give your answer in kilometers.
Date posted: February 20, 2019
- The production of milk in litres of 14 cows on a certain day was recorded as follows
The production of milk in litres of 14 cows on a certain day was recorded as follows 22,26,15,19,20,16,27,15,19,22,21,
20,22 and 28.Determine:
a)the mode
b)the median
Date posted: February 20, 2019
- Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Date posted: February 20, 2019
- Solve for x in 2x2 + x - 36 = 0
Solve for x in 2x2 + x - 36 = 0
Date posted: February 20, 2019
- Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Date posted: February 20, 2019
- Without using logarithm tables,find the value of x;
Without using logarithm tables,find the value of x;
Log x3 + log 5x = 5log 2 – log $\frac{2}{5}$
Date posted: February 20, 2019
- The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments.
The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments. If was charged simple interest at the rate of 40% p.a,how much was each installment?
Date posted: February 20, 2019
- Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Date posted: February 21, 2019
- Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Date posted: February 21, 2019
- The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n
The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n.
Date posted: February 21, 2019
- In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are
In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are $\frac{1}{3}$, $\frac{1}{4}$ and $\frac{1}{2}$ respectively.If each soldier shot at the target only once,one after the other. What is the probability that the target was hit only once?
Date posted: February 21, 2019
- Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y)
Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y).
Date posted: February 21, 2019
- Use differentiation to find x coordinate of the maximum point for the curve. Y=x3+2x2-4x-8
Use differentiation to find x coordinate of the maximum point for the curve.
Y=x3+2x2-4x-8
Date posted: February 21, 2019
- The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
Date posted: February 23, 2019
- A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum
A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum.What was the value of the motor cycle after 3 years?
Date posted: February 23, 2019
- An aeroplane flew due south from appoint A(60oN,45oE),to a point B.The distance covered by the aeroplane was 8000km. Determine the position of B.
An aeroplane flew due south from appoint A(60oN,45oE),to a point B.The distance covered by the aeroplane was 8000km.Determine the position of B.
Date posted: February 23, 2019
- Solve for x: 9x+32x-1=53
Solve for x: 9x+32x-1=53
Date posted: February 23, 2019
- Three businessmen Makokha,Njau and Odhiambo contributed a total of sh 120,000 to start a business
Three businessmen Makokha,Njau and Odhiambo contributed a total of sh 120,000 to start a business.The ratio of the contributions of Makokha to Njau was 2:3 and that of Njau to Odhiambo was 2:5. How much did Odhiambo contribute?
Date posted: February 23, 2019
- In 14 years time,a mother will be twice as old as her son. Four years ago the sum of their ages was 30 years.
In 14 years time,a mother will be twice as old as her son.Four years ago the sum of their ages was 30 years. Find how old the mother was when the son was born.
Date posted: February 23, 2019
- Use the prime factors of 1764 and 2744 to evaluate
Use the prime factors of 1764 and 2744 to evaluate $\frac {\sqrt 1764}{3\sqrt 2754}$
Date posted: February 23, 2019