Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400...

The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500 cars.

Answers

Kavungya answered the question on November 6, 2019 at 08:01

Answer Attachments

Next: Solve the inequality below. Hence represent the solution on a number line. x < 2x + 7 = - 1/3x + 14

Previous: Study the scheme given below and answer the questions that follow;

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Solve the inequality below. Hence represent the solution on a number line. x < 2x + 7 = - 1/3x + 14 (Solved)

Solve the inequality below. Hence represent the solution on a number line.
x < 2x + 7 ≤ - 1/3x + 14

Date posted: November 6, 2019 . Answers (1)
Machine A can complete some work in 8 hours while machine B can complete the same work in 10 hours. The two machines were set... (Solved)

Machine A can complete some work in 8 hours while machine B can complete the same work in 10 hours. The two machines were set to do the work at the same time. After 3 hours, machine B broke down. Determine the time taken by machine A to complete the remaining piece of work.

Date posted: November 6, 2019 . Answers (1)
PQ is a diameter of a circle is such that the co-ordinates of P and Q are (-6, -2) and (4, -2) respectively. Find the equation... (Solved)

PQ is a diameter of a circle is such that the co-ordinates of P and Q are (-6, -2) and (4, -2)
respectively. Find the equation of the circle in the form ax² + by² + cx + dy + e = 0 where a,b,c,d and
e are constants.

Date posted: November 6, 2019 . Answers (1)
Three variables P,Q and R are such that P varies directly as the cube of Q and inversely as the square root of R. If... (Solved)

Three variables P,Q and R are such that P varies directly as the cube of Q and inversely as the square root of R. If Q is increased by 20% and R is decreased by 10%, Find the percentage change in P.

Date posted: November 6, 2019 . Answers (1)
Given that A = 5i + 4j + K and B = 8i – 5j – 5k and P divides AB externally in the ratio... (Solved)

Given that A = 5i + 4j + K and B = 8i – 5j – 5k and P divides AB externally in the ratio 5:2. Find
the:-
(a) Position vector of P
(b) The magnitude of OP

Date posted: November 5, 2019 . Answers (1)
Town B is 180km on a bearing 050⁰ from town A. Another town C is on a bearing of 110⁰ from town A and on... (Solved)

Town B is 180km on a bearing 050⁰ from town A. Another town C is on a bearing of 110⁰ from town A and on a bearing of 150⁰ from town B. A fourth town D is 240 km on a bearing of 320⁰ from A. Using scale drawing, such that 1cm rep 30km,
(a) Show the relative position of the towns
(b) Using the diagram, find
(i) Distance AC
(ii) Distance CD
(iii) Compass bearing of C from D

Date posted: November 5, 2019 . Answers (1)
Nairobi and Eldoret are 600km apart. At 9.20a.m. a lorry leaves Eldoret for Nairobi at a speed of 60km/hr. At 10.00a.m. a car leaves Eldoret... (Solved)

Nairobi and Eldoret are 600km apart. At 9.20a.m. a lorry leaves Eldoret for Nairobi at a speed of 60km/hr. At 10.00a.m. a car leaves Eldoret for Nairobi at a speed of 120km/hr. After 20 minutes of travel, the car develops a mechanical problem which takes 20 minutes to repair. The car then proceeds with the journey at the same speed.
(a) Calculate the time the lorry arrived in Nairobi
(b) Find the time when the car overtakes the lorry
(c) Find the distance from Nairobi at the overtaking point
(d) Calculate how far the lorry was from Eldoret when the car reached Nairobi

Date posted: November 5, 2019 . Answers (1)
The figure below shows a square based pyramid on top of a cuboid (a) Draw the net of the solid (b) Calculate the total surface area... (Solved)

The figure below shows a square based pyramid on top of a cuboid

(a) Draw the net of the solid
(b) Calculate the total surface area of the net.

Date posted: November 5, 2019 . Answers (1)
Evaluate ; 36^x-1 + 6^2x - 222 = 0 (Solved)

Evaluate ; 36^x-1 + 6^2x - 222 = 0

Date posted: November 5, 2019 . Answers (1)
The sum of interior angles of a triangle is given by (10x -2y)⁰ while that of a hexagon is given by (30x + 24y)⁰. Calculate... (Solved)

The sum of interior angles of a triangle is given by (10x -2y)⁰ while that of a hexagon is given by (30x + 24y)⁰. Calculate the values of x and y.

Date posted: November 5, 2019 . Answers (1)
The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep,... (Solved)

The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep, how many animals are there in the farm.

Date posted: November 5, 2019 . Answers (1)
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the... (Solved)

Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V = 3t² -15t + 18.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance traveled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.

Date posted: November 5, 2019 . Answers (1)
The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7.... (Solved)

The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
a) Draw a tree diagram to represent this information.
b) Use the tree diagram to find:-
i) The probability that we will lose both games.
ii) The probability that we will win only one game.
iii) The probability that we will host and lose both games.

Date posted: November 5, 2019 . Answers (1)
The table below shows income tax rates a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is... (Solved)

The table below shows income tax rates

a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
b) Mr. Juma other deductions include:
5% of basic salary as cooperative shares
2% of basic salary as WCPS
Insurance policy Ksh 2800
Co-operative shares Ksh 1500
Given that his taxable allowances is Ksh 28400, calculate his net pay.

Date posted: November 5, 2019 . Answers (1)
The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11. Determine the quartile deviation of... (Solved)

The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.

Date posted: November 5, 2019 . Answers (1)
A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments... (Solved)

A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.

Date posted: November 5, 2019 . Answers (1)
A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are... (Solved)

A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
A customer decided to buy the house through a loan.
a) i) Calculate the amount of money loaned to the customer.
ii) The customer paid the loan in 3 years.
Calculate the total amount paid for the house.
b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.

Date posted: November 5, 2019 . Answers (1)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres. a) Find the capacity of the water tank in litres. b) Six members... (Solved)

A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.

Date posted: November 5, 2019 . Answers (1)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX... (Solved)

In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.

a) Calculate the length of AX.
b) The area of ΔABX is 6cm². Calculate the area of ΔCXD.

Date posted: November 5, 2019 . Answers (1)
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a. (Solved)

Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.

Date posted: November 5, 2019 . Answers (1)