-
Water is drawn to fill an empty tank whose capacity is 1200litres using two types of buckets. It requires at least 30 type A buckets...
(Solved)
Water is drawn to fill an empty tank whose capacity is 1200litres using two types of buckets. It requires at least 30 type A buckets and 50 type B buckets to fill the tank. Also, two type A buckets are required to fill at most three type B buckets. Each type B bucket has a capacity of not more than 20litres.
a) Taking x litres and y litres to represent the capacity of each type A bucket and each type B bucket respectively; write down 3 inequalities to represent the above information.
b) Use graphical method to determine the capacity of each type of bucket.
Date posted:
August 23, 2019
.
Answers (1)
-
The figure below represent a kite ABCD, AB = AD = 15cm. The diagonals BD and AC intersect atO. AC = 30cm and AD =...
(Solved)
The figure below represent a kite ABCD, AB = AD = 15cm. The diagonals BD and AC intersect at O. AC = 30cm and AD = 12cm.
Find the area of the kite
Date posted:
August 23, 2019
.
Answers (1)
-
The positions of two towns on the earth’s surface are A (400S, 450W) and B (400S, 1350E)
a) Calculate;
The difference in distance between two towns A...
(Solved)
The positions of two towns on the earth’s surface are A (400S, 450W) and B (400S, 1350E)
a) Calculate;
The difference in distance between two towns A and B along the parallel of latitude and along the great circle. (in Nm).
b) Two planes X and Y left town A at 8.00am flying at 758 knots each towards town B. If plane X flys along the parallel of latitude and plane Y along the great circle; then determine the position of one of the planes when the other lands at town B.
Date posted:
August 23, 2019
.
Answers (1)
-
The probability that Hilda, Lucy and Caroline will be late for breakfast on any one morning are a quarter , a third and a...
(Solved)
The probability that Hilda, Lucy and Caroline will be late for breakfast on any one morning are a quarter , a third and a fifth respectively on any one morning.
a) Using a probability tree diagram find the probability that:-
i) none of them will be late
ii) Only one of them will be late
iii) at least one of them will be late
iv) at most one of them will be late
Date posted:
August 23, 2019
.
Answers (1)
-
A plug is made up of hemisphere cup of radius 4.9cm and a cylinder of diameter 42cm and height 6cm as shown in the diagram...
(Solved)
A plug is made up of hemisphere cup of radius 4.9cm and a cylinder of diameter 42cm and height 6cm as shown in the diagram alongside. Calculate the volume of the plug.
Date posted:
August 23, 2019
.
Answers (1)
-
Mrs. Nandi bought a television set on hire purchase by paying a down payment of Ksh. 5000 and Monthly installments of Ksh. 1250 for 2...
(Solved)
Mrs. Nandi bought a television set on hire purchase by paying a down payment of Ksh. 5000 and Monthly installments of Ksh. 1250 for 2 years. If the interest rate charged was 12% p.a what is the carrying change to the nearest hundreds?
Date posted:
August 23, 2019
.
Answers (1)
-
For a lifting machine, the effort E required to lift a load L is partly constant and partly varies as L. Given that L =...
(Solved)
For a lifting machine, the effort E required to lift a load L is partly constant and partly varies as L. Given that L = 2 when E = 5.5 and L = 6 when E = 6.5, Write an equation connecting E and L.
Date posted:
August 23, 2019
.
Answers (1)
-
In the figure below, O is the centre of the circle and TA and TB are tangents to the circle at A and B respectively....
(Solved)
In the figure below, O is the centre of the circle and TA and TB are tangents to the circle at A and B respectively. Given that angle ATO = 390; calculate angle TBX.
Date posted:
August 23, 2019
.
Answers (1)
-
A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and...
(Solved)
A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and B. Another bus starts from B also at 8am and moves towards A making four stops at four equally spaced points between B and A. Each stop is of duration 5 minutes and the average between any two spots is 60km/h. Calculate the distance between the two buses at 10am.
Date posted:
August 23, 2019
.
Answers (1)
-
Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)
(Solved)
Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)
Date posted:
August 23, 2019
.
Answers (1)
-
A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a...
(Solved)
A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a type B requires 4 man – hours. The cost of material for type A is sh 120 and that for type B is sh100. The profit on type A is sh 80 and profit on type B is sh 60. The carpenter has to abide by the following conditions
(i) A contract to supply 15 of type A and 10 of type B per week has to be fulfilled
(ii) Only 300 man – hours are available in each week.
(iii) Total weekly cost of material for all chairs should not exceed sh 6000
If type A and type B chairs were x and y per week respectively.
(a) Write down the inequalities satisfying these conditions
(b) Represent this information on a grid and show the region by shading out the unwanted.
(c) What values of x and y will give maximum profit. Determine this maximum profit.
Date posted:
August 23, 2019
.
Answers (1)
-
A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits.
(Solved)
A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits. Nekesa deposited Ksh. P in the bank for two years on simple interest terms, if she had deposited the same amount for two years on compound interest terms, she would have earned Ksh. 210 more. Find the value of P.
Date posted:
August 23, 2019
.
Answers (1)
-
The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of...
(Solved)
The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of the material used to make the pipe.
Date posted:
August 23, 2019
.
Answers (1)
-
Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...
(Solved)
Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted:
August 23, 2019
.
Answers (1)
-
A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h...
(Solved)
A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h faster than the bus and reaches there 1 hour 36 minutes earlier. Determine the speed of the bus.
Date posted:
August 23, 2019
.
Answers (1)
-
Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n
(Solved)
Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n
Date posted:
August 23, 2019
.
Answers (1)
-
The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter
(Solved)
The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter
Date posted:
August 23, 2019
.
Answers (1)
-
A triangular plot of land XYZ is such that XY = 34m, XZ = 66m and angle YXZ = 96.70
(Solved)
A triangular plot of land XYZ is such that XY = 34m, XZ = 66m and angle YXZ = 96.70.
a) Calculate the length YZ
b) In order to subdivide the plot, a fencing post P is located on YZ such that YP: PZ = 1: 3. Calculate the area of the plot XYZ and hence find the area of the triangular subdivision XPY.
Date posted:
August 23, 2019
.
Answers (1)
-
The internal and external diameters of a circular ring are 8cm and 10cm respectively. Find the volume of the ring if its thickness is 3.5 millimeters.
(Solved)
The internal and external diameters of a circular ring are 8cm and 10cm respectively. Find the volume of the ring if its thickness is 3.5 millimeters.
Date posted:
August 23, 2019
.
Answers (1)
-
A metallic disc is in the shape of a regular polygon of side 16cm and interior angle 150o. The disc is 10mm thick and is...
(Solved)
A metallic disc is in the shape of a regular polygon of side 16cm and interior angle 150o. The disc is 10mm thick and is made of metal whose density is 8.5g /cm3.
a) Determine the number of sides of the polygon.
b) Calculate to the nearest whole number:
i. The area of the polygon
ii. The volume of the disc
iii. The mass of the disc in kg
Date posted:
August 23, 2019
.
Answers (1)