Answers by visitors named: kudu

A factory produced 65, 160 sweets. The sweets were packed in packets each holding sweets. The cost of each packet was $72. All the packets were then equally put in 15 cartons. What was the cost of the sweets in each carton?

10 years ago

Twenty-four 5-decilitre packets of milk were emptied into a 50-litre container. How many more such packets of milk were needed to fill the container?

10 years ago

A shopkeeper bought cooking fat in 30 one kilogram packets and 20 five hundred packets. She repacked the fat in packets of 125 grams each. How many packets did she get?

10 years ago

John had mangoes. He ate 5 and shared the remaining among her 6 friends. He however found that he needed 2 more mangoes if each of the friends was to get 4 mangoes. How many mangoes had he at the beginning?

10 years ago

Three clocks were set to ring at intervals as follows: the first after every 6 minutes the second after every 15 minutes the third after every 24 minutes if the clocks were set at the same time, after how many minutes did them ring together?

10 years ago

Water gained heat at the rate of 12° Celsius per minute for 5 minutes. It was then allowed to lose heat at 4° Celsius per minute. If the temperature before heating was 22° Celsius, what was its temperature after 8 1/2 minutes?

10 years ago

Otieno, Leila, Rotich and Furaha shared $840. Otieno got twice as much as Leila. Leila got three times as much as Rotich while Rotich got half of what Furaha got. What was the difference between Otieno's share and Furaha's share?

10 years ago

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB =50°. Find the length BC, angle ABC, angle CAD , area of triangle ACD.

10 years ago

Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David contributed three times as much as John. If David contributed $x, which one of the equations below can be used to find David's...

10 years ago

A clock was set on Monday at 8.30 a.m. On Tuesday, the following day, the clock showed 8.45 p.m. when the correct time was 8.30 p.m. How many minutes was the clock gaining in every 24 hours?

10 years ago

John and David had packets of tea to be packed into cartons. Each carton holds 46 packets. John packed 63 cartons and remained with 24 packets while David packed 54 cartons and remained with 19 packets. How many more packets of tea had John than David? =...

10 years ago

A rectangular container 45cm long and 25cm wide was full of water. After removing 22.5 liters of the water, the level of water became 4cm high. What was the height of the container?

10 years ago

In a group of 126 spectators the ratio of men to women was 3:4. What is the new ratio if 2 more men and 8 more women joined the group of spectators?

10 years ago

A rectangular plot of land measures 40m by 30m. There is a wall on one of the longer sides. Four strands of wire are to be used to fence the three remaining sides of the plot. What length of wire is required?

10 years ago

The number of women passengers in a bus was X. The number of children in the bus was three times that of men passengers but was 6 more than that of women. Write equation that shows the total number of passengers in the bus?

10 years ago

Samuel, Elis and David sell newspapers. One day David sold 20 newspapers more than Elis who sold 10 newspapers more than Samuel. The total number of newspapers they sold that day was 140. If Elis sold y newspapers, write the equations can be used to find...

10 years ago

Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David contributed three times as much as John. If David contributed $x, write the equation can be used to find David's contribution?

10 years ago

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.

10 years ago

Water flows from a tap. At the rate 27cm3 per second, into a rectangular container of length 60cm, breathe 30 cm and height 40 cm. If at 6.00 p.m. the container was half full, what will be the height of water at 6.04 pm?

10 years ago

Two baskets C and D each contain a mixture of oranges and lemons. Basket C contains 26 oranges and 13 lemons. Basket D contains 18 oranges and 15 lemons. A child selected basket at random and picked at random a fruit from it. Determine the probability tha...

10 years ago

A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere.

10 years ago

The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

10 years ago

The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term

10 years ago

The velocity V ms^-1, of a moving body at time t seconds is given V = 5t^2 – 12t + 7 Calculate the acceleration when t = 2 seconds

10 years ago

A businessman bought two bags of maize at the same price per bag. he discovered that one bag was of high quality and the other of low quality. On the high quality bag he made a profit by selling at $ 1,040. Whereas on the low quality bag he made a loss by...

10 years ago

An employee started on a salary of £ 6,000 per annum and received a constant increment. If he earned a total of £ 32,400 by the end of five years, calculate his annual increment

10 years ago

Solve the equation sin 5/2¦È = -1/2 for 0¡ã ¡Ü 0 ¡Ü 180¡ã

10 years ago

A and B are two matrices. If A= 1 2 4 3 Find B given that A^2 = A +B

10 years ago

A fruitier bought 144 pineapples at $10 for every six pineapples. Sh sold some of them at $12 for every three and the rest at $6 for every two. If she made a 65% profit, calculate the number of pineapples sold at $12 for every three

10 years ago

The a hollow cylinder. The internal and external radii are estimated to be 6 cm and 8 cm respectively, to the nearest whole number. The height of the cylinder is exactly 14 cm. (a) Determine the exactly values for internal and external radii which give ma...

10 years ago

A cylinder of radius 14 cm contains water. A metal solid cone of base radius 7 cm and height 18cm is submerged into the water. Find the change in height of the water level in the cylinder

10 years ago

The third and fifth term of an arithmetic progression are 10 and-10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = -10 -a -2d = -10 a + 4d = -10 2d = -20 d = -10 a + 2(-10) = 10 a -20 = 10 a = 30; d = -2 b)The...

10 years ago

A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 300 and the angle elevation of the top of the widow is 350. Calculate the vertical distan...

10 years ago

A quantity T is partly constant and partly varies as the square root of s. a) Using constant a and b, write down an equation connecting T and S. b) If S = 16, and when T = 24 and S = 36 when T = 32, find the value of the constants a and b.

10 years ago

A cylinder container of radius 15 cm has some water in it. When a solid submerged into the water, the water level rises 1.2 cm. (a) Find, the volume of the water displace by the solid leaving your answer in terms of π (b) If the solid is a circular cone o...

10 years ago

The position of two towns X and Y are given to the nearest degree as X(45° N, 10° W) and Y (45 N°, 70° W). Find (a) The distance between the two towns in (i) Kilometers ( take the radius of the earth as 63711) (ii) Nautical miles ( take I nautical mile to...

10 years ago

The curve y= ax^3 -3x^2 -2x + 1 has the gradient 7 when x = 1. Find the value of a.

10 years ago

Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4

10 years ago

A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8. The distance of the particle from the origin after one second is 1o meters. Calculate the distance of the particle from the origin after 2 seconds.

10 years ago

Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between point A and B to 2 decimal places.

10 years ago

A poultry farmer vaccinated 540 of his 720 chickens against a disease. Two months later, 5% of the vaccinated and 80% of the unvaccinated chicken, contracted the disease. Calculate the probability that a chicken chosen random contracted the disease.

10 years ago

The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm respectively. Find the percentage error in its perimeter.

10 years ago

Shopping centers X, Y and Z are such that Y is 12 km south of X and Z is 15 km from X. Z is on a bearing of 330° from Y.

10 years ago

The acceleration am/s^2 of a particle moving in a straight line is given by a = 18t – 4, where t is time in seconds. The initial velocity of the particle is 2 m/s a) Find the expression for velocity in terms of t b) Determine the time when the velocity is...

10 years ago

Find the reciprocale of 0.342. Hence evaluate: (ã0.0625)/0.342

10 years ago

In a livestock research stations a new drug for a certain fowl disease is being tried. Samples of 36 fowls were diagnosed to have the disease. Twenty (20) fowls were treated with the drug and the rest were not. (a) Calculate the probability that a fowl pi...

10 years ago

The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5. (a) Calculate the gradient to the curve at t = 0.5 seconds (b) Determine the values of sat the maximum and minimum turning points...

10 years ago

A rectangular and two circular cut-outs of metal sheet of negligible thickness are used to make a closed cylinder. The rectangular cut-out ha a height of 18 cm. Each circular cut-out has a radius of 5.2 cm. Calculate in terms of area of π, the surface are...

10 years ago

Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.

10 years ago

A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of liquid in the container.

10 years ago

A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for every 4 kilometers. A litre of the fuel costs $ 59. Calculate the amount of money spent on fuel

10 years ago

Solve the inequality = 3- 2x ˂ x ¡Ü 2x + 5 and show the solution on the number line

10 years ago

The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.

10 years ago

A point R divides a line PQ internally in the ration 3:4. Another point S, divides the line PR externally in the ration 5:2. Given that PQ = 8cm, calculate the length of RS

10 years ago

Given that sin (x +30)° = cos 2x° for 0°, 0° ≤ x ≤ 90° Find the value x. Hence find the value of cos^2 3x°.

10 years ago

All prime numbers less than ten are arranged in descending order to form a Number. (a) Write down the number formed 2, 3, 5, 7 (b) State the total value of the second digit in the number formed in (a) above

10 years ago

Evaluate 6log2^3 √64+ 10log3^5 √243

10 years ago

A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is time in seconds. Find (a) The displacement of particle at t = 5 (b) The velocity of the particle when t = 5 (c) The values of t whe...

10 years ago

A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters

10 years ago

The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of the polygon

10 years ago

Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4 θ= sin-1(4/5) = 53.13, 143.13

10 years ago

The Position of two A and B on the earth’s surface are (36°N, 49°E) and (360°N, 131°W ) respectively. (a) The difference in long between town A and town (b) Given that the radius of the earth is 6370, calculate the distance town A and town B. (c) Another...

10 years ago

Solve the equation sin (5/2θ) = -1/2 for 0°≤0 ≤ 180° sin(5/2θ) = -1/2 5θ/2 = -30 θ = -12 78, 168

10 years ago

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c

10 years ago

Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDS seminar. Calculate the probability that the two teachers chosen are: (a) Of the same sex (b) Of opposite sex

10 years ago

The length and breadth of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of 0.01 m was made in each of the measurements, find the: (a) Maximum and minimum possible area of the floor (b) Maximum possible w...

10 years ago

Given that sinθ = 2/3 and is an acute angle. Find: Tanθ giving your answer in surd form θ = tan^(-1)⁡〖(2/√5)= 41.81°〗 Sec^22 θ θ= cos^(-1)⁡〖(3/√5〗)=

10 years ago

Three people Fatuma, Ali and Hassan contributed money to start a business.Fatuma contributed a quarter of the total amount and Ali two fifths of the remainder. Hassan’s contribution was one and a half times that of Fatuma. They borrowed the rest of the mo...

10 years ago

A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m a) Calculate the: i) Area of the plot in square meters √(s(s-a)(s-b)(s-c)) How to find S?

10 years ago

The distance between towns M and N is 280 km. A car and a lorry travel from M to N. The average speed of the lorry is 20 km/h less than that of the car. The lorry takes 1 h 10 min more than the car to travel from M and N. (a) If the speed of the lorry is...

10 years ago

A group of people planned to contribute equally towards a water project which needed Ksh 200,000 to complete, however, 40 members of the group without from the project. As a result, each of the remaining members was to contribute Kshs 2,500. (a) Find the...

10 years ago

A man who can swim at 5km/h in still water swims towards the east to cross arriver. If the river flows from north to south at the rate of 3km/h a) Calculate: i) The resultant speed ii) The drift b) If the width of the river is 30m, find the time taken, in...

10 years ago

Evaluate 6 log2 ∛64 +10log3 (243)^1/5)

10 years ago

A salesman gets a commission of 2.4% on sales up to Shillings 100,000. He gets an additional commission of 1.5% on sales above this. Calculate the commission he gets on sales wroth shillings 280,000. 100000(.024) + 0.015(280000 - 100000) 2400 + 2700 5100

10 years ago

The water supply in a town depends entirely on two pumps. A and B. The probability of pump A filling is 0.1 and the probability of pump B failing is 0.2. Calculate the probability that (a) Both pumps are working (b) There is no water in the town (c) Only...

10 years ago

The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.

10 years ago

A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.

10 years ago

A rally car traveled for 2 hours 40 minutes at an average of speed pf 120km/h. The car consumes an average of 1 liter of fuel for every 4 kilometers. A liter of the fuel costs shillings 59. Calculate the amount of money spent on fuel. Distance = 2 2/3h *...

10 years ago

A solid metal sphere of radius 4.2cm was melted and molten material used to make a cube. Find to 3 significant figures the length of the side of the cube.

10 years ago

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

10 years ago

Solve the equation: 2cos2θ = 1 for 0° ≤ θ ≤ 360. 2θ = cos-1(1/2) 2θ = 60° θ= 30,210 330

10 years ago

The Position of two A and B on the earth’s surface are (36°N, 49°E) and (36°N, 131°W ) respectively. (a) The difference in long between town A and town

10 years ago

P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c

10 years ago

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b

10 years ago

Point T is the midpoint of a straight line AB. Given the position vectors of A and T are i - j + k and 2i + 1 ½ k respectively, find the position vector of B in terms of i, and k

10 years ago

A cylindrical piece of wood of radius 4.2 cm and length 150 cm is cut length rise into two equal pieces. Calculate the surface area of one piece

10 years ago

. A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. (a) Calculate the distance between the two islands (i) In nautical miles (ii) In kilometers (b) Calculate the speed of the sh...

10 years ago

a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is 70 cm and is equal to the diameter of the top of the frustum. The frustum has a base diameter of 28 cm and slant height of 60...

10 years ago

If A,B and C are the points P and Q are p and q respectively is another point with position vector r = 3q – ½ p. Express in terms of p and q. i) PR ii) RQ hence shows that P, Q and R are collinear. iii) Determine the ratio PQ: QR.

10 years ago

The acceleration, ams^-2, of a particle is given by a =25 – 9t^2, where t is in seconds after the particle passes fixed point O. If the particle passes O, with velocity of 4 ms^-1, find (a) An expression for velocity V, in terms of t (b) The velocity of t...

10 years ago

Two points P and Q have coordinates (-2, 3) and (1, 3) respectively. A translation map point P to P’ (10, 10) (a) Find the coordinates of Q’ the image of Q under the translation (b) The position vector of P and Q in (a) above are p and q respectively give...

10 years ago

P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c how to find missing

10 years ago

A plane flying at 200 knots left an airport A( 30° S, 31°E) and flew due North to an airport B( 30° N 31° E) (a) Calculate the distance covered by the plane, in nautical miles (b) After a 15 minutes stop over B, the plane flew west to an airport C(30°N 13...

10 years ago

Kibet left school by bicycle at 8:00 a.m. and took 1 ½ hours to reach the market 20 km away. Akinyi left the school for the market by car at 8:30 a.m. The average speed of the car was 80 km /h. What was the difference between their arrival times?

10 years ago

An open cylindrical tank has an internal diameter of 5.6 cm and an internal height of 4 cm. The inside of the tank was painted. What area of the tank in square centimeter, was painted?

10 years ago

David and John shared some money in the ratio 5:2 John received $30 less than David. How much money did John get?

10 years ago

A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at the end of 30 minutes. What is the capacity of the tank in tank? =22.5 + 1.45(30) =22.5 +43.5 = 66 = 66 * 1000 = 66000 liters

10 years ago

The area of a square plot of land is 1156m2. The plot is to be fenced with three strands of wire. What is the length of the wire that is needed? Area = S2 √1156 = S S=34 P = 4s = 136 = 136(3) = 408

10 years ago

Manyatta Village is 74 km North West of Nyangata Village. Chamwe village is 42 km west of Nyangata. find the bearing of Chamwe from Manyatta

10 years ago

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9. What is the length diagonal of the screen, to the nearest whole inch.

9 years ago

kudu

Questions

Answers