A trader bought 2 cows and 9 goats for a total of if

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19.A trader bought 2 cows and 9 goats for a total of Ksh 98, 200. If she had bought 3 cows and 4 goats she would have spent Ksh 2,200 less. a)Form two equations to represent the above information. (2 mks) b)Use matrix method to determine the cost of a cow and that of a goat. (4 mks) c)The trader later sold the animals she had bought making a profit of 30% per cow and 40% per goat. i. Calculate the total amount of money she received. (2 mks)
126 WHATSAPP/SMS/ CALL MR [email protected] FOR MORE REVISION MATERIALS AND END TERM EXAMS ACCOMPANIED WITH THERE MARKING SCHEMES ii. Determine, correct to 4 significant figures, the percentage profit the trader made from the sale of the animals (2 mks) 20.Two towns, A and B are 80km apart. Juma started cycling from town A to town B at 10.00 am at an average speed of 40 km/h. Mutuku started his journey from town B to town A at 10.30 am and travelled by car at an average speed of 60 km/h. ii. The time of the day when the two met. (2 mks) 21.The displacement, s metres, of a moving particle from a point O, after t seconds is given by, s = t35t2+ 3t + 10. ii. The value of t when the particle is momentarily at rest. (3 mks) 22.In the figure below, OABC is a trapezium. AB parallel to OC and OC = 5 AB. D is a point on OC such that OD: DC = 3:2 A qB X P O D C
127 WHATSAPP/SMS/ CALL MR [email protected] FOR MORE REVISION MATERIALS AND END TERM EXAMS ACCOMPANIED WITH THERE MARKING SCHEMES i. OB ; (1 mks) ii. AD ; (2 mks) iii. CB ; (2 mks) k and r are scalars. Determine the values k and r. (5 mks) 23. (a) On the grid provided, draw the square whose verticals are A (6, -2), B (7, -2), C (7, -1) and D (6, -1). (1 mk) (b) On the same grid, draw: i. AʹBʹCʹDʹ, the image of ABCD, under an enlargement scale factor 3, centre (9, -4); (3 mks) ii. AʹʹBʹʹCʹʹDʹʹ, the image of AʹBʹCʹDʹ, under a reflection in the line x = 0; (2 mks) iii. AʹʹʹBʹʹʹCʹʹʹDʹʹʹ, the the image of AʹʹBʹʹCʹʹDʹʹ under a rotation of + 90 0 about (0,0) (2 mks) (c) Describe a single transformation that maps AʹBʹCʹDʹ onto AʹʹʹBʹʹʹCʹʹʹDʹʹʹ (2 mks)

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