Let denominator be x
Therefore numerator = x – 3
The fraction is $\frac{x - 3}{x}$
When both numerators and denominators are increased by 5,
$\frac{x – 3 + 5}{x + 5}$ = $\frac{5}{6}$
$\frac{x + 2}{x + 5}$ = $\frac{5}{6}$
6x + 12 = 5x + 25; x = 13
Original fraction is $\frac{10}{13}$
johnmulu answered the question on March 6, 2017 at 05:30
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Evaluate $\frac{200\div 4 – (40 - 54)}{-72\div 6 + 20\; of\; 6 – 9\times 4}$
(Solved)
Evaluate
$\frac{200\div 4 – (40 - 54)}{-72\div 6 + 20\; of\; 6 – 9\times 4}$
Date posted:
March 6, 2017
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Answers (1)
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A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
(Solved)
A number between 200 and 300 has its tens digit four more than the units digit. If the number is written in the reverse order the number increases by 99. Find the number.
Date posted:
March 6, 2017
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Answers (1)
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Find the sum of all the prime numbers between 1 and 10.
(Solved)
Find the sum of all the prime numbers between 1 and 10.
Date posted:
March 6, 2017
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Answers (1)
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Find the equation of a straight line which passes through the point of intersection of lines x – 3y = 4 and 3x + y = 2
(Solved)
Find the equation of a straight line which passes through the point of intersection of lines x – 3y = 4 and 3x + y = 2 and is parallel to the line 3x + 4y = 0
Date posted:
March 6, 2017
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Answers (1)
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Given that a = 2, b = 1 and c = 3, find the value of
(Solved)
Given that a = 2, b = 1 and c = 3, find the value of
$\frac{3a^2 - 2b^2 + 4b}{2ac + 2b^3 - 3c}$
Date posted:
March 2, 2017
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Answers (1)
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If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
(Solved)
If log2 = 0.3010, log3 = 0.4771 and log 5 = 0.6990, Find the logarithm of 3.3
Date posted:
March 2, 2017
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Answers (1)
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A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance
(Solved)
A woman went on a journey by walking,by bus and by matatu. She went by bus for $\frac{4}{5}$ of the distance, then by matatu $\frac{2}{3}$ of the rest of the distance, then walked the remaining distance. The distance travelled by the bus was 55 km more than the distance walked. Find the total distance
Date posted:
March 2, 2017
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Answers (1)
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Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6
(Solved)
Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6 and Q = 4.8 x 10-4 giving your answers in the form A x 10n where A is A number between 1 to 10 and n is an integer.
Date posted:
March 2, 2017
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Answers (1)
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Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify
(Solved)
Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify
$\frac{7}{x^2 - xy + 12y^2}$ - $\frac{1}{x - 4y}$
Date posted:
March 2, 2017
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Answers (1)
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Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
(Solved)
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
a) At what time did they meet?
b) How far from town B was their meeting point?
c) How far apart were they at 10.30 a.m?
Date posted:
March 2, 2017
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Answers (1)
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a) Divide 1 000 cm3 in the ratio of
(Solved)
a) Divide 1 000 cm3 in the ratio of $\frac{1}{4}$: $\frac{1}{2}$: $\frac{1}{5}$ leaving your answer nearest to 1 cm
b) In an experiment, a boy mixed some acid solution 45% concentration with an acid solution. In what portion should the two acids be mixed in order to get 100 cm3 of solution of 30% concentration?
c) Two blends of tea costing sh 140 and sh 160 per kilogram respectively are mixed in the proportion of 2:3 by mass. The mixture is sold at sh 240 per kilogram. Find the percentage gain
Date posted:
March 2, 2017
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Answers (1)
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Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
(Solved)
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
a) What is the depth of the water in the tank at 8.30 a.m
b) If the tank is 1.2 m high, and a hole at the bottom through which water leaks at a rate of 11.6 cm 3 per second, determine the time at which the tank will be filled.
Date posted:
March 2, 2017
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Answers (1)
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ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine
(Solved)
ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine
a) The coordinates of M, where M is the midpoint of intersection of the diagonals
b) The coordinates of the vertices B and D
Date posted:
March 2, 2017
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Answers (1)
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Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
(Solved)
Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
Date posted:
March 2, 2017
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Answers (1)
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Determine the angle of elevation of the top of the building from A.
(Solved)
A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of elevation of the building is 45o. Determine the angle of elevation of the top of the building from A.
Date posted:
March 2, 2017
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Answers (1)
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In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate
(Solved)
In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
a) V
b) The average speed in km/hr for the whole journey
Date posted:
March 2, 2017
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Answers (1)
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In order to complete a journey of 56 km, john walks for 1 hour at an average speed of V km/hr at an..
(Solved)
In order to complete a journey of 56 km, john walks for 1 hour at an average speed of V km/hr at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
(a) V
(b) The average speed in km/hr for the whole journey
Date posted:
February 15, 2017
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Answers (1)
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Evaluate the following without using mathematical tables
(Solved)
Evaluate the following without using mathematical tables.
$\frac{\frac{1}{2}\;of -8 \div 4 - 7}{\sqrt 2(\sqrt 2 - 3 \sqrt 2)}$
Date posted:
January 26, 2017
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Answers (1)
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Solve the following inequalities and represent the solutions on a number line
(Solved)
Solve the following inequalities and represent the solutions on a number line.
$3 - 2x \le 5$
$4 - 3x \gt -8$
Date posted:
January 26, 2017
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Answers (1)
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Simplify the following expression completely
(Solved)
Simplify the following expression completely
$\frac{2x^2\, - \,98}{3x^2\, - \,+ \,5x\, - \,35} \div \frac{x\, + \,7}{3x\, + \,5}$
Date posted:
January 24, 2017
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Answers (1)