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- A solution whose volume is 120 litres is made up of 35% water and the rest alcohol. When y litres of alcohol is added the...(Solved)
A solution whose volume is 120 litres is made up of 35% water and the rest alcohol. When y litres of alcohol is added the percentage of water drops to 15%
(a) Find the value of y
(b) The new solution is diluted further by addition of seventy litres of water. Calculate the percentage of alcohol in the resulting solution
(c) A blend is made by mixing 10 litres of the solution in (b) above with 20 liters of the original solution.
Calculate in the simplest form, the ratio of water to that of alcohol in the blend
Date posted: September 20, 2019. Answers (1)
- Mr. Alvin George, a civil servant gets a monthly salary of Shs. 48,000. He lives in a government house where he pays nominal rent of...(Solved)
Mr. Alvin George, a civil servant gets a monthly salary of Shs. 48,000. He lives in a government house where he pays nominal rent of Shs.2500. Besides this he gets an automatic house allowance of Shs.12000 and medical allowance of shs.8000 per month. He gets a family relief of sh.1065 per month. The rates of income tax are shown below
Calculate:
(a) His taxable income per month in Kenya pounds
(b) Net tax per month in Kshs.
(c) Net salary
Date posted: September 20, 2019. Answers (1)
- An angle of 0.9 radians at the centre of the circle subtends an arc of length 28.8cm. Find
(a) The radius of the circle
(b) The area...(Solved)
An angle of 0.9 radians at the centre of the circle subtends an arc of length 28.8cm. Find
(a) The radius of the circle
(b) The area of the sector enclosed by the arc and radii
Date posted: September 20, 2019. Answers (1)
- Without using a calculator or mathematical table, express
In surd form and simplify (Solved)
Without using a calculator or mathematical table, express 
In surd form and simplify
Date posted: September 20, 2019. Answers (1)
- A rectangle ABCD is such that AB=6cm, and BC=5cm. A variable point P moves inside the rectangle such that AP = PB and AP >2.5cm....(Solved)
A rectangle ABCD is such that AB=6cm, and BC=5cm. A variable point P moves inside the rectangle such that AP ≤ PB and AP >2.5cm. Show the region where P lies
Date posted: September 20, 2019. Answers (1)
- Without using logarithms table, solve the equation(Solved)
Without using logarithms table, solve the equation
Date posted: September 20, 2019. Answers (1)
- The size of an interior angle of a regular polygon is x2 while its exterior angle is 3x. Find the number of sides of...(Solved)
The size of an interior angle of a regular polygon is x2 while its exterior angle is 3x. Find the number of sides of the polygon
Date posted: September 20, 2019. Answers (1)
- The sides of a triangle were measured and recorded as 4cm, 6.2cm and 9.50cm. Calculate the percentage error in its perimeter, correct to 2 decimal...(Solved)
The sides of a triangle were measured and recorded as 4cm, 6.2cm and 9.50cm. Calculate the percentage error in its perimeter, correct to 2 decimal places
Date posted: September 20, 2019. Answers (1)
- The velocity V of a body moving in a straight line at any time t is given by V=3t-2. Its distance S at time...(Solved)
The velocity V of a body moving in a straight line at any time t is given by V=3t-2. Its distance S at time t=0 is equal to 4m. Calculate the distance when t=4 seconds
Date posted: September 20, 2019. Answers (1)
- In the figure below kite ABCD represents a part of a county government logo. The logo has symmetry order 4 about O. Complete the figure...(Solved)
In the figure below kite ABCD represents a part of a county government logo. The logo has symmetry order 4 about O. Complete the figure to show the logo
Date posted: September 20, 2019. Answers (1)
- (a) Expand and simplify the binomial expression (2x-y)5
(b) Use the first four terms of the expansion above to approximate the value of (3.8)5(Solved)
(a) Expand and simplify the binomial expression (2x-y)5
(b) Use the first four terms of the expansion above to approximate the value of (3.8)5
Date posted: September 20, 2019. Answers (1)
- An arithmetic progression of 41 terms in such that the sum of the first five terms is 560 and sum of the last five terms...(Solved)
An arithmetic progression of 41 terms in such that the sum of the first five terms is 560 and sum of the last five terms is -250. Find the first term
Date posted: September 20, 2019. Answers (1)
- Given that express y in terms of d(Solved)
Given that 
express y in terms of d
Date posted: September 20, 2019. Answers (1)
- Miss Jaber bought a motor cycle at Shs.160,000. The depreciation rate was 6% per annum determined semi annually. How long will it take the motor...(Solved)
Miss Jaber bought a motor cycle at Shs.160,000. The depreciation rate was 6% per annum determined semi annually. How long will it take the motor cycle to be valued at a quarter of its original cost.
Date posted: September 20, 2019. Answers (1)
- Write an equation of a circle that has a diameter whose end points are at (2,7) and (-6, 15) in the form x2+y2+ax+by+c=0 where a,b...(Solved)
Write an equation of a circle that has a diameter whose end points are at (2,7) and (-6, 15) in the form x2+y2+ax+by+c=0 where a,b and c are integers.
Date posted: September 20, 2019. Answers (1)
- A business lady bought 180 mangoes at Shs.60 for every five mangoes. She sold some of them at Shs.30 for every three and 33 1/3...(Solved)
A business lady bought 180 mangoes at Shs.60 for every five mangoes. She sold some of them at Shs.30 for every three and 33 1/3 % the rest at Sh.30 for every four. If she made a 33 1/3 % loss, calculate the number of mangoes sold at Shs.30 for every four
Date posted: September 20, 2019. Answers (1)
- Evaluate using logarithms(Solved)
Evaluate using logarithms
Date posted: September 20, 2019. Answers (1)
- The figure below shows rectangular plot ABCD with AB =60m and BC=45m.
PN is a vertical pole of length 30m to which four taut wire PB1,...(Solved)
The figure below shows rectangular plot ABCD with AB =60m and BC=45m.
PN is a vertical pole of length 30m to which four taut wire PB1, PC1,PD and PA are attached
Calculate
a)length of the projection of PC on the plane ABCD
b)the angle PC made with the base ABCD
c)The angle between the planes PBC and ABCD
d)If point A is to be the North of point C. calculate the bearing of B from A
Date posted: September 20, 2019. Answers (1)
- Complete the table below.(Solved)
Complete the table below.
Date posted: September 20, 2019. Answers (1)
- Using a ruler and a compass only
a) Construct a parallelogram ABCD such that AB = 10cm BC=7cm and < ABC
105o
b) Construct the loci of P...(Solved)
Using a ruler and a compass only
a) Construct a parallelogram ABCD such that AB = 10cm BC=7cm and < ABC
105o
b) Construct the loci of P and Q within the parallelogram such that AP < 4cm and BQ < 6cm
c) Calculate the area within the parallelogram and outside the region bounded by the two loci
Date posted: September 20, 2019. Answers (1)