(a) Ali and Yusif shared N420.000.00 in the ratio 3.,; 5 : 8 respectively. Find the sum of Ali and Yusuf's shares(b) Solve: 2(\(\frac{1}{8}\))\(^x\) = 32\(^{x - 1}\).
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2019
(a) Find the equation of the line which passes through the points A(-2, 7) and B(2, -3)(b) Given that \(\frac{5b - a}{8b + 3a} = \frac{1}{5}\) = find, correct to two decimal places, the value \(\frac{a}{b}\)
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2019
(a)In the diagram. \(\overline{RS}\) and \(\overline{RT}\) are tangent to the circle with centre O, < TUS = 68\(^o\), < SRT = x and < UTO = y. Find the value of x.(b) Two tanks A and B are filled to capacity wit…
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2019
(a) Given that 110\(_x\) - 40\(_{five}\). find the value of x(b) Simplify \(\frac{15}{\sqrt{75}}\) + \(\sqrt{108}\) + \(\sqrt{432}\), leaving the answer in the form a\(\sqrt{b}\), where a and b are positive integers.
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2019
(a) The curved surface areas of two cones are equal. The base radius of one is 5 cm and its slant height is 12cm. calculate the height of the second cone if its base radius is 6 cm.(b) Given the matrices A = \(\begin{pm…
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2019
(a) Copy and complete the table of values for the relation y = 4x\(^2\) - 8x - 21, for -2.0 \(\leq\) x \(\leq\) 4.0x-2.0-1.5-1.00.50.00.51.01.52.02.53.03.54.0y11 -9 -21-24 -21 -90 (b) Using a scale of 2cm to 1 unit on t…
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2019
A ladder 11m long leans against a vertical wall at an angle of 75\(^o\) to the ground. The ladder is the pushed 0.2 m up the wall.(a) Illustrate the information in a diagram.(b) Find correct to the nearest whole number,…
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2019
a) A twenty - kilogram bag of rice is consumed by m number of boys in 10 days. When four more boys joined them, the same quantity of rice lasted only 8 days. If the rate of consumption is the same, find the value of m.(…
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2019
A survey of 40 students showed that 23 students study Mathematics, 5 study Mathematics and Physics, 8 study Chemistry and Mathematics, 5 study Physics and Chemistry and 3 study all the three subjects. The number of stud…
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2019
The ages of a group of athletes are as follows: 18, 16. 18,20, 17, 16, 19, 17, 18, 17 and 13. (a) Find the range of the distribution.(b) Draw a frequency distribution table for the data.(c) What is the median age?(d) Ca…
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2019
NOT DRAWN TO SCALEIn the diagram, is a chord of a circle with centre 0. 22.42 cm and the perimeter of triangle MON is 55.6 cm. Calculate, correct to the nearest degree. < MON.(b) T is equidistant from P and Q. The be…
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2019
(a) Fred bought a car for $5,600.00 and later sold it at 90% of the cost price. He spent $1,310.00 out of the amount received and invested the rest at 6% per annum simple interest. Calculate the interest earned in 3 yea…
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2019
The cost of dinner for a group of tourist is partly constant and partly varies as the number of tourists present. It costs $740.00 when 20 tourists were present and $960.00 when the number of tourists increased by 10. F…
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2019
(a) Without using mathematical tables or calculator, simplify: \(\frac{log_28 + \log_216 - 4 \log_22}{\log_416}\)
(b) If 1342\(_{five}\) - 241\(_{five}\) = x\(_{ten}\), find the value of x.
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2019
(a) If logo a = 1.3010 and log\(_{10}\)b - 1.4771. find the value of ab(b)
In the diagram. O is the centre of the circle,< ACB = 39\(^o\) and < CBE = 62\(^o\). Find: (i) the interior angle AOC;(ii) angle BAC.
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2019
The second, fourth and sixth terms of an Arithmetic Progression (AP.) are x - 1, x + 1 and 7 respectively. Find the:(a) common difference;(b) first term;(c) value of x.
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2019
(a) Solve the inequality: \(\frac{1 + 4x}{2}\) -\(\frac{5 + 2x}{7}\) < x -2
(b) If x: y = 3: 5, find the value of \(\frac{2x^2 - y^2}{y^2 - x^2}\)