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Question 1195332: A bus left a petrol station at 9.20 a.m. and travelled at an average speed of 75 km/h to a town N. At 9.40 a.m. a taxi travelling at an average speed of 95 km/h, left the same petrol station and followed the same route as the bus. Determine the distance, from the petrol station covered by the taxi at the time it caught up with the bus.
Click here to see answer by greenestamps(13200)

Question 1195331: Two towns A and B are 220 km apart. A bus left town A at 11.00 a.m. and travelled towards B at an average speed of 60 km/h. At the same time, a matatu left town B for A at an average speed of 80 km/h. The matatu stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the matatu.
Click here to see answer by greenestamps(13200)

Question 1195342: Find the point which is equidistant from the x and the y axes and lies on the line x/2+y/3=1
Click here to see answer by ikleyn(52781)

Question 1195339: The x and y intercepts of a straight line L is equidistant from the x and y axes. Find the equation of a straight line that is perpendicular to L and passes through the point P. Give your answer in the form ax+by+c=0 where a, b and c are integers.
Click here to see answer by ikleyn(52781)

Question 1195340: The x and y intercepts of a straight line are -4 and 5 respectively. A point M on the straight line is equidistant from the x and y axes. Determine the coordinates of the point M
Click here to see answer by ikleyn(52781)

Question 1195341: Points A and B are the coordinates of the x and y intercepts of the line 2x-3y=6. Find the equation of a perpendicular bisector to the line segment □(→┬AB )
Click here to see answer by josgarithmetic(39617)

Question 1195337: A straight line L1 is reflected in the mirror line y=2x to give the image L2 whose equation is y=1/2 x+2. Find the equation of L1. Give your answer in the form ax+by=c where a, b and c are integers
Click here to see answer by ikleyn(52781)

Question 1195335: A train T1 moving at an average speed of 90 km/h takes 8 seconds to completely cross a bridge that is 80 meters long. Another train T2 which is 155 meters long and moving in the opposite direction on a parallel track at an average speed of 108 km/h is just beginning to pass trainT1. Calculate the time in seconds that it takes for the two trains to completely pass one another.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1195338: Points A, B and C are the three vertices of an isosceles triangle in which AC=BC. The coordinates of A and B are (-2,1) and (6,-3) respectively and the equation of AC is 4x-7y+15=0. Find the value of the coordinates of C
Click here to see answer by amarjeeth123(569)

Question 1195376: A straight line L is perpendicular to the line 2/3 x+5/7 y=1 State the x and y intercepts of the line L
Click here to see answer by math_helper(2461)

Question 1195375: A line which joins the points p(2,k) and Q(-1,4) is parallel to another line whose equation is 2x+5y-10=0 Find the value of k
Click here to see answer by josgarithmetic(39617)

Question 1195374: Given that 422÷x=52 3/y find the values of x and y
Click here to see answer by Alan3354(69443)

Question 1195377: Given that 422÷x=52⌟3⌟y find the values of x and y
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Question 1195381: Given that 422÷x=(52)3/y find the value of x and y
Click here to see answer by greenestamps(13200)

Question 1195380: Given that 422÷x=〖52〗_y^3 find the value of x and y
Click here to see answer by greenestamps(13200)

Question 1195383: A guy wire is 20’ long and is attached to the top of power poles that are 8’ apart. If the lowest point of the guy wire is 12’ from the bottom of the poles, how tall are the power poles ?
This isn’t a catanary curve. I solved this problem by adding 12ft to 10ft, as half of the guy wire would be 10ft. Thank you!
Click here to see answer by lotusjayden(18)

Question 1195386:
Click here to see answer by greenestamps(13200)

Question 1195385: solve for x in the equation ∛(〖81〗^2 )/√(〖27〗^x )=9
Click here to see answer by greenestamps(13200)

Question 1195384: Solve the equation 〖12〗^x*〖24〗^y=216
Click here to see answer by Edwin McCravy(20055)

Question 1195384: Solve the equation 〖12〗^x*〖24〗^y=216
Click here to see answer by ikleyn(52781)

Question 1195400: Given that 422÷x=52 3/y find the values of x and y.
Note 52 3/y is a mixed fraction where 52 is a whole number and 3/y a fraction

Click here to see answer by josgarithmetic(39617)

Question 1195401: Given that 422÷x=52 3/y find the values of x and y.
Note 523/y is a mixed fraction where 52 is a whole number and 3/y a fraction

Click here to see answer by greenestamps(13200)

Question 1195399: Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171
Click here to see answer by greenestamps(13200)

Question 1195397: Solve for x in the equation 5^(2x+3)-6(5^x )=595
Click here to see answer by greenestamps(13200)

Question 1195398: Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171
Click here to see answer by Alan3354(69443)

Question 1195396: Solve for x in the equation 5^(2x+3)-6(5^x )=595
Click here to see answer by MathLover1(20849)

Question 1195213: A debtor owes Ryan the following sums, due without interest: $1000 due at the end of 2 years and $2000 due at the end of 5 years. What equivalent single payment would Ryan be willing to accept at the end of 4 years, if money is worth {8%, m=4} to him?
Click here to see answer by Theo(13342)

Question 1195217: A debtor, who receives a loan of $30, 000, agrees to deposit equal sums at the beginning of each 3 months for 10 years with a trust company, in order to pay the principal at the end of 10 years. If the fund earns 3% compounded quarterly, find the periodic deposit.
Click here to see answer by Theo(13342)

Question 1195511: Let (i) Prove that ∆AOB is congruent to ∆GPF.
(ii) Hence, prove that
Click here to see answer by ikleyn(52781)

Question 1195512: Two equal chords AB and XY of a circle intersect at E, a point inside the circle. Use equal arcs to prove that AX=BY and that ∆EBX is isosceles.
Click here to see answer by ikleyn(52781)

Question 1195528: A window has the shape of a square of side length 60 cm surmounted by a segment of a circle of radius 50 cm. The circle segment is less than a semicircle. What is the maximum height, in centimetres, of the window?
Click here to see answer by ikleyn(52781)

Question 1195527: PQR is an isosceles triangle with a base of 18 cm and sides of 15 cm and is inscribed in a circle with its vertices touching the circumference of the circle. The radius, in centimetres, of the circle is?
Click here to see answer by ikleyn(52781)

Question 1195526: In a regular octagon, use its circumference to prove that the six angles between the adjacent diagonals at a vertex are all equal.
Find the value of Angle APB.
More generally, prove that the angles between adjacent diagonals at any vertex of an n-sided regular polygon are all equal and have the value of 180*/n.
Click here to see answer by ikleyn(52781)

Question 1195534: A circle has radius 5 and centre (2, 4). The point (3,2) is the midpoint of a chord of this circle. Find the distance of the chord from the centre and the length of the chord.
Click here to see answer by MathLover1(20849)

Question 1195533: A ball of radius 15 cm is floating in water so that the top of the ball is 6 cm above the surface. What is the circumference of the horizontal circle formed by the contact of the water with the exterior of the ball?
Click here to see answer by ikleyn(52781)

Question 1195538: Let XOY be an angle and PZ be an interval. Construct an arc with centre O meeting OX at A and OY at B. With the same radius, construct an arc with centre P, meeting PZ at F. With radius AB and centre F, construct an arc meeting the second arc at G.
(a) Prove that triangle AOB is congruent to triangle GPF.
(b) Hence, prove that Angle AOB = Angle FPG.
Click here to see answer by ikleyn(52781)

Question 1195547: Mr. Buah earns ¢120000 as gross income per year. His tax fee allowance is ¢1500. How much tax does he have to pay if he is liable to tax at a basic rate of 15%.
Click here to see answer by nycmathdad(2)

Question 1195566: Fred’s coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Fred $4.60 per pound, and type B coffee costs $5.70 per pound. This month’s blend used twice as many pounds of type B as type A, for a total cost of $640.00. How many pounds of type A coffee were used?
Click here to see answer by josgarithmetic(39617)

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