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- A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the...(Solved)
A bus travels from Nairobi to Kisumu a distance of 320 km at a speed of x km/hr.If the speed is reduced by 20km/hr the bus would take 48 minutes more.
(a) Form an equation to represent the given information and simplify it
(b) Find the speed of the bus
(c) Determine the time taken by the bus for the whole journey
(d) Another car is moving from Kisumu to Nairobi at a speed of 80km/h.Determine their relative speed.
Date posted: August 16, 2019. Answers (1)
- Calculate the area of the shaded segment of the circle given in the figure below.(Solved)
Calculate the area of the shaded segment of the circle given in the figure below.
Date posted: August 16, 2019. Answers (1)
- In the figure below, ABCD is a parallelogram. AD is produced to E and BE and CD meet at F.
If angle DEF=250 and angle BFD=700,...(Solved)
In the figure below, ABCD is a parallelogram. AD is produced to E and BE and CD meet at F.
If angle DEF=250 and angle BFD=700, find the size of angle ABF.
Date posted: August 16, 2019. Answers (1)
- The sum of the interior angles of a polygon is 19800.How many triangles can this polygon be
divided into.(Solved)
The sum of the interior angles of a polygon is 19800.How many triangles can this polygon be
divided into.
Date posted: August 16, 2019. Answers (1)
- Solve for x given that:
Log (x-4)+2=log 5+log(2x+10)(Solved)
Solve for x given that:
Log (x-4)+2=log 5+log(2x+10)
Date posted: August 16, 2019. Answers (1)
- Simplify the expression below.(Solved)
Simplify the expression below.
Date posted: August 16, 2019. Answers (1)
- Below is an equation of a straight line.
(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to...(Solved)
Below is an equation of a straight line.
(i).Find the gradient of the line
(ii) Equation of a line passing through point (2,3) and parallel to the given line
Date posted: August 16, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Date posted: August 16, 2019. Answers (1)
- In Barsumbat mixed secondary school, there are 120 more boys than girls.Half of the boys are two-thirds of the girls are boarders. If there are...(Solved)
In Barsumbat mixed secondary school, there are 120 more boys than girls.Half of the boys are two-thirds of the girls are boarders. If there are 480 boarders, find the total number of students in the school.
Date posted: August 16, 2019. Answers (1)
- Use tables of square ,cubes roots and reciprocals to find the value of x if(Solved)
Use tables of square ,cubes roots and reciprocals to find the value of x if
Date posted: August 16, 2019. Answers (1)
- During the year 2001 Samora had 40 more goats than sheep and half as many cows as sheep. In the year 2002 his goats increased...(Solved)
During the year 2001 Samora had 40 more goats than sheep and half as many cows as sheep. In the year 2002 his goats increased by 50%, his cows decreased by 10% and his sheep increased by 20%.At the end of 2002 all his animals were 690.Calculate to the nearest whole number the percentage increase in the number of animals during the year 2002.
Date posted: August 16, 2019. Answers (1)
- A pilot fly from P to S through Q and R he distance of Q from P is 820 km on a bearing of 0550...(Solved)
A pilot fly from P to S through Q and R he distance of Q from P is 820 km on a bearing of 0550 .R is 600km on bearing of 3300 from Q while S is on a bearing of 240° a distance of a 1000km
from R.
a) Using a suitable scale draw a diagram representing the routes of the flight
b) On the return journey the pilot flew directly from S to P .What was his direction of flight.
c) How long did the flight in (b) above take If the pilot travelled at 650km/h?
d) If on reaching S the pilot decided to fly directly to Q what would have been his direction of flight and time taken if he flew at 700km/h?
Date posted: August 16, 2019. Answers (1)
- The 2nd 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the...(Solved)
The 2nd, 7th and 22nd terms of an arithmetic progression are the first three consecutive terms of a geometric progression. The 10th term of the arithmetic progression is 21 Determine:
a) The first term and the common difference of the A.P
b) The sum of the first six terms of the G.P
Date posted: August 16, 2019. Answers (1)
- A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total...(Solved)
A slaughter house bought a number of sheep at sh 1200 each and a number of oxen at sh 15000 each. They paid a total amount of sh 135,000.lf they had bought twice as many sheep and three oxen less they would have saved sh 15000.
a) Find the number of each type of animals they bought.
b) The slaughter house sold all the animals at a profit of 30% per sheep and 35% per oxen.Determine the total profit they made.
Date posted: August 16, 2019. Answers (1)
- Form a quadratic equation in t whose roots are - 4 and 7.(Solved)
Form a quadratic equation in t whose roots are - 4 and 7.
Date posted: August 16, 2019. Answers (1)
- In the diagram below, determine vector OW in terms of i, j and k. Given that W divides AB in the ratio
2:3.(Solved)
In the diagram below, determine vector OW in terms of i, j and k. Given that W divides AB in the ratio
2:3.
Date posted: August 16, 2019. Answers (1)
- Every week the number of absentees in a school was recorded. This was done for 39 weeks these observations were tabulated as shown below.Estimate the...(Solved)
Every week the number of absentees in a school was recorded. This was done for 39 weeks these observations were tabulated as shown below.
Estimate the median absentee rate per week in the school
Date posted: August 16, 2019. Answers (1)
- A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the...(Solved)
A student at a certain college has a 60% chance of passing an examination at the first attempt.Each time a student fails and repeats the examination his chances of passing are increased by 15% Calculate the probability that a student in the college passes an examination at the second or at the third attempt.
Date posted: August 16, 2019. Answers (1)
- Given that the equation of the normal to the curve y = x2 + 3x +5 at point C is 5y + x =46 find...(Solved)
Given that the equation of the normal to the curve y = x2 + 3x +5 at point C is 5y + x =46 find the coordinates of C.
Date posted: August 16, 2019. Answers (1)
- Under a transformation whose matrix T is given below,a figure whose area is 2.5 cm2 is mapped onto a figure whose area is l0 cm2.Find...(Solved)
Under a transformation whose matrix T is given below,a figure whose area is 2.5 cm2 is mapped onto a figure whose area is l0 cm2.Find two possible values of a and hence write down two possible matrices.
Date posted: August 16, 2019. Answers (1)