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

Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize and sh.4000 for...

Mrs Mureithi has 20 acres of land. She intends to grow maize and beans. She requires sh.2000 to plant an acre of maize
and sh.4000 for an acre of beans. Twice the area to be planted with maize should not be less than one of beans. The
total capital available is sh.60000. The estimated profit is sh.5000 for an acre of maize and sh.7000 for an acre of
beans.
By letting x and y to represent the area to be planted with maize and beans respectively.
a) Find the inequalities to represent the information.
b) On the grid provided, represent the inequalities and show the region which satisfy the condition.
c) Determine the expected maximum profit.

Answers

sharon kalunda answered the question on May 9, 2019 at 08:28

Answer Attachments

Next: A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation whose matrix is

Previous: In the figure below, ABCDEF is a wedge. BC = 6cm, DC = 8cm and ED = 15cm.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation whose matrix is (Solved)

A triangle PQR whose vertices are P(2, 2), Q(5, 3) and R(4, 1) is mapped onto triangle P1Q1R1 by a transformation
whose matrix is

a) On the grid provided below, draw triangle PQR and triangle P1Q1R1
b) Triangle P1Q1R1 is mapped onto a triangle whose vertices are P11(-2, -2), Q11(-5, -3) and R11(-4, -1)
i) Draw triangle P11Q11R11 on the same grid.
ii) Find the matrix representing transformation that maps triangle P1Q1R1 onto triangle P11Q11R11
c) Describe the transformation that maps PQR onto triangle P11Q11R11

Date posted: May 9, 2019 . Answers (1)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle... (Solved)

In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. BR which is a tangent to the circle at B
meets PQ produced at R.

Given that PN = 14cm, NB = 5cm and BR = 6.5cm.
Calculate :
a) NR
b) AN

Date posted: May 9, 2019 . Answers (1)
Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine... (Solved)

Given OX = 4i + j + 3k and OY = 7i - 5j + k. If M is the mid-point of line XY, determine the modulus of XM.

Date posted: May 9, 2019 . Answers (1)
The table below is part of the tax table for monthly income for the year 2007. (Solved)

The table below is part of the tax table for monthly income for the year 2007.

In that year, Adan’s monthly gross tax was Ksh.2,885. Calculate his monthly income.

Date posted: May 9, 2019 . Answers (1)
Two students are selected at random from a class of 15 boys and 10 girls. Find the probability that (Solved)

Two students are selected at random from a class of 15 boys and 10 girls. Find the probability that
a) they are both boys
b) one is a boy and the other is a girl

Date posted: May 9, 2019 . Answers (1)
Simplify leaving your answer in surd form (Solved)

Simplify leaving your answer in surd form

Date posted: May 9, 2019 . Answers (1)
a) Complete the following table for the function y = 6 + 3x - 2x² (Solved)

a) Complete the following table for the function y = 6 + 3x - 2x²

b) Using the completed table and the trapezoidal rule with 10 strips, estimate the area bounded by the curve and the
lines y = -8 and x = -1.5

Date posted: May 9, 2019 . Answers (1)
The coordinates of the ends of a diameter of a circle are (6, 4) and (-2, 2). If the centre of the circle is Q,... (Solved)

The coordinates of the ends of a diameter of a circle are (6, 4) and (-2, 2). If the centre of the circle is Q, determine:
a) the coordinates of centre Q
b) the equation of the circle expressing it in the form x² + y² + ax + by + c = 0 where a, b and c are constants.

Date posted: May 9, 2019 . Answers (1)
Solve for x,given that; (Solved)

Solve for x,given that;

Date posted: May 9, 2019 . Answers (1)
Grade A tea is mixed with grade B tea. The cost per kg of grade A is Ksh.60 and that of grade B is Ksh.80.... (Solved)

Grade A tea is mixed with grade B tea. The cost per kg of grade A is Ksh.60 and that of grade B is Ksh.80. Find the ratio
in which the two grades should be mixed in order to make a profit of 20% by selling 1kg of the mixture at Ksh.90.

Date posted: May 9, 2019 . Answers (1)
a) Determine the inverse of the matrix (Solved)

a) Determine the inverse of the matrix

b) Hence find the coordinates of the point of intersection of the lines x + 2y = 7 and -y + x = 1

Date posted: May 9, 2019 . Answers (1)
R is partly constant and partly varies as the square of q. When R = 5, q = 1 and R = 21 when q... (Solved)

R is partly constant and partly varies as the square of q. When R = 5, q = 1 and R = 21 when q = 3. Find the value of R
when q = 5

Date posted: May 9, 2019 . Answers (1)
PQRS is a trapezium where PQ is parallel to SR. PR and SQ intersect at X, so that SX = kSQ and PX = hPR... (Solved)

PQRS is a trapezium where PQ is parallel to SR. PR and SQ intersect at X, so that SX = kSQ and PX = hPR where k and h
are constants.
Vectors PQ = 3q and PS = s, SR = q
a) Show this information on a diagram.
b) Express vector SQ in terms of s and q
c) Express SX in terms of k, q and s
d) Express SX in terms of h, q and s
e) Obtain h and k
f) In what ratio does X divide SQ ?

Date posted: May 9, 2019 . Answers (1)
A particle starts from rest and moves in a straight line. Its velocity Vm/s is given by V = t² - 3t + 2, where... (Solved)

A particle starts from rest and moves in a straight line. Its velocity Vm/s is given by V = t² - 3t + 2, where t is the time in seconds moved from a point O.
Find :
a) i)the velocity when t = 3.
ii) the displacement from O when t = 3.
iii) the acceleration of the particle when t = 3.
b) At what time is the particle momentarily at rest ?

Date posted: May 9, 2019 . Answers (1)
In the figure below, ABC is a tangent to the circle, centre O. DOG is a diameter and angle DGF = 60^o, angle DBC =... (Solved)

In the figure below, ABC is a tangent to the circle, centre O. DOG is a diameter and angle DGF = 60^o, angle DBC = 48^o and angle DFE = 25^o. Giving reasons, find the size of angles :

) FED
ii) Obtuse FOB
iii) EBD
iv) BCD
v) OBE

Date posted: May 9, 2019 . Answers (1)
A certain number of people agreed to contribute equally to buy books worth shs.1200 for a school library. Five people pulled out and so that others... (Solved)

A certain number of people agreed to contribute equally to buy books worth shs.1200 for a school library. Five people
pulled out and so that others agreed to contribute an extra sh.40 each. Their contribution enabled them to raise the
sh.1200 expected.
a) If the original number of people was x, write an expression of how much each was originally going to contribute.
b) Write down the expression of how much each contributed after the five people pulled out.
c) Calculate how many people made the contribution.
d) If the prices of books before buying went up in the ratio 5 : 4 how much extra did each contributor give.

Date posted: May 9, 2019 . Answers (1)
A conical glass contains water to a height of 14cm and has a water surface of radius 12cm. A student wishes to determine the radius, volume... (Solved)

A conical glass contains water to a height of 14cm and has a water surface of radius 12cm. A student wishes to
determine the radius, volume and surface area of a spherical pebble. When he drops the pebble in the water, the water
level rises by 8cm and its surface on the glass has a radius of 16cm as shown below.

a) Find x
b) Find the volume of the pebble
c) Find the radius of the pebble
d) Find the surface area of the pebble

Date posted: May 9, 2019 . Answers (1)
Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R... (Solved)

Three ships P, Q and R are at sea such that ship Q is 400km on a bearing of 030o from ship P. Ship R is 750km from
ship Q and on a bearing of S60oE from ship Q. Ship Q is 1000km and to the north of an enemy ship S.
a) Taking a scale of 1cm to represent 100km, locate the position of ships P, Q, R and S.
b) Find the compass bearing of :
i) ship P from ship S
ii) ship S from ship R
c) Use the scale drawing to determine
i) the distance of S from P
ii) the distance of R from S
d) Find the bearing of :
i) Q from R
ii) P from R

Date posted: May 9, 2019 . Answers (1)
Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2 (Solved)

Line segment AB is given below: Mark point D on line AB produced, such that AD : DB = 7 : -2

Date posted: May 9, 2019 . Answers (1)
A Kenyan bank buys and sells Nigerian neira and Canadian dollar at the following rates. (Solved)

A Kenyan bank buys and sells Nigerian neira and Canadian dollar at the following rates.

Mrs. Emenike, a Nigerian arrived in Kenya with 46,000 neira. She exchanged the whole amount to Kenya shillings and
spent a total of Kenya shillings 720,000. She later changed the remainder to Canadian dollars on her way to Canada.
How much did she receive to 2d.p.

Date posted: May 9, 2019 . Answers (1)