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In a certain hospital, patients are treated by two doctors in consultation rooms. On average, one doctor takes 3 minutes while the others takes 5 minutes to treat a patient. If the two doctors start to treat patients at the same time, find the shortest time it takes to treat 200 patients.

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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The table below shows taxation rates in Kenya

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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Given A(2,7), B(−6,−21) and C(1,3.5). Show that the points A,B and C are collinear.

asked Jun 30, 2021 in Mathematics Form 3 by anony mous

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Three machines A, B and C are set to work together. A working alone takes 6 hours to complete the work; B takes 8 hours while C takes 12 hours. All the three machines started working at the same time. 40 minutes later machine A broke down. B and C continued for another 1 hour before B ran out of fuel and therefore stopped working for 20 minutes while C continued. If B resumed working after 20 minutes, calculate the:

asked Jun 30, 2021 in Mathematics Form 1 by anonymous

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Solve the inequality hence list the integral values of x satisfying the inequality.

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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An industrialist has 460 litres of a chemical which is 75% pure. She mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 78% pure. Find the amount of the 90% pure chemical used.

asked Jun 30, 2021 in Mathematics Form 1 by anonymous

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Simplify completely

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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Given that q=7x express the equation 72x − 1 + 6 × 7x − 1 =1 interval of q.Hence or otherwise,find the value of x in the equation 72x − 1 + 6 × 7x − 1 =1.

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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1 answer

The triangle ABC has vertices A (1, 2), B (2, 1) and C (2, 3). AI BI CI is the image of ABC under transformation given by the matrix

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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The line whose equation is 2x − 3y=12 cuts the x-axis and y-axis at A and B respectively. Find the equation of the line equidistant from A and B.

asked Jun 30, 2021 in Mathematics Form 2 by anony mous

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1 answer

P varies directly as the cube of Q and inversely as the square root of R

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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2 answers

The data below shows the heights of students in a class.

asked Jun 30, 2021 in Mathematics Form 4 by anonymous

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1 answer

Using a ruler and a pair of compasses only for all constructions in this question.

asked Jun 30, 2021 in Mathematics Form 1 by anonymous

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The first, second and fifth terms of an arithmetic sequence are the first three consecutive terms of a geometric sequence. Find the common ratio

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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The figure below shows a prism ABCDEF with BC=8cm and EB=8cm

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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A contractor intends to transport 1,000 bags of cement using a lorry and a pick up. The lorry can carry a maximum of 80 bags while a pick up can carry a maximum of 20 bags. The pickup has to make more than twice the number of trips the lorry makes and the total number of trips has to be less than 30. The cost per trip is sh. 2,000 for the lorry and sh 900 for the pickup and the contractor wishes to minimize cost. Let x and y be the trips for the lorry and pickup respectively.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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ABCD is a regular tetrahedron. AB=BC=CA=AD=BD=CD= 8cm.

asked Jun 30, 2021 in Mathematics Form 2 by anonymous

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A,B and C are three points on a straight line (in that order) on horizontal ground. A and B are on the side of C. At C stands a vertical tower 173.2m high. The distance from A to B is 100m and the angle of elevation of the top of the tower from A is 30°. Find the angle of elevation of the top of the tower from B.

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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The interior angles of an irregular hexagon are 108°, 162° and 90°. The remaining three angles are all equal. Find the value of the largest exterior angles.

asked Jun 30, 2021 in Mathematics Form 1 by anony mous

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Find the base radius of a cylindrical hole with maximum volume which can be drilled into a cone of height 16 cm and radius 12 cm as shown below.

asked Jun 30, 2021 in Mathematics Form 2 by anonymous

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