Description : Hari has some two rupee and five rupee coins .The total amount with him is rs. 43. Express the given information as a linear equation in two variables. -Maths 9th
Last Answer : answer:
Description : The cost of a table is 100 more than half the cost of the chair write the statement linear equation in two varible -Maths 9th
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Description : Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is value of y when x = 5 ? -Maths 9th
Last Answer : Linear equation
Description : Let cost of a pen and a pencil be “x” and “y” respectively. A girl pays ₹16 for 2 pens and 3 pencils. Write the given data in the form of a linear equation in two variables. Also represent it graphically. -Maths 9th
Last Answer : Solution :-
Description : Write any four solutions of the linear equation y = 4 x – 11. -Maths 9th
Description : he auto-rickshaw fare in a city is charged as ₹10 for the first kilometre and @ ₹4 per kilometre for subsequent distance covered. Write the linear equation to express the above statement. Draw the graph of linear equation. -Maths 9th
Last Answer : Solution :- Fig. 3.12 represents the graph of the linear equation y = 4x+6.
Description : Force applied on a body of mass 5 kg is directly proportional to the acceleration produced in the body. Represent this solution as a linear equation in two variables. -Maths 9th
Last Answer : Solution :- Let the force be x and acceleration due to force be y.
Description : The work done by a body on application of a constant force is the product of the constant force and distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as 3 units. -Maths 9th
Description : Chenna dhal is now being sold at Rs. 70 a kg. Last month, is rate was Rs. 80 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed? a)12.5 b)21.8 c)23 d)18
Last Answer : Answer: A Let a family's monthly consumption of chenna dhal be x kg. To keep the expenditure fixed, their consumption for this month should be 70x/80 = 7x/8. Reduction in consumption = x/8 = 12.5% of x
Description : Daal is now being sold at Rs. 20/kg. During last month its rate was Rs. 16/kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?
Last Answer : Answer: 20%.
Description : x = 5 and y = 2 is a solution of the linear equation. -Maths 9th
Last Answer : (c) (a) Take x + 2y, on putting x=5 and y = 2, we get 5 + 2(2) = 5+ 4 = 9≠7. So, (5, 2) is not a solution of x + 2y = 7 (b) Take 5x + 2y, on putting x = 5 and y = 2, we get 5x 5 + 2 x2 =25+ 4 = ... on putting x = 5 and y = 2, we get 5 5 + 2=25 + 2 =27 ≠7 So, (5, 2) is not a solution of 5x + y = 7.
Description : The graph of the linear equation y = x passes through the point. -Maths 9th
Last Answer : (c) The linear equation y = x has same value of x and y-coordinates are same. Therefore, the point (1,1) must lie on the line y = x.
Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution? -Maths 9th
Last Answer : The given linear equation is 2x + cy= 8. …(i) Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y. Put y = x in Eq. (i), we get
Description : Determine the point on the graph of the linear equation x + y = 6, whose ordinate is 2 times its abscissa. -Maths 9th
Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y as its solution? -Maths 9th
Description : Express x in terms of y for the linear equation 23x +4y = -7. -Maths 9th
Description : In the linear equation y = 4x + 13, if x is the number of hours a labourer is on work and y are his wages in rupees then draw the graph. Also find the wages when work is done for 6 hours. -Maths 9th
Last Answer : when the work is done for 6 hours x=6 y=4(6)+13 y=24+13 y=37 the labourer gets Rs.37 if he works for 6hrs
Description : Draw the graph of the linear equation 3x + 4y = 6. At what points, does the graph cut the x-axis and the y-axis? -Maths 9th
Last Answer : hope it helps
Description : The temperature of a liquid can be measured in Kelvin units as x K or in Fahrenheit units as y°F. The relation between the two system of measurement of temperature is given by the linear equation y = 9/5 ( x - 273 ) + 32 -Maths 9th
Description : Twice the number of marbles with Aman exceeds thrice the number of marbles with Vinay by 12. Assume the number of marbles with Aman and Vinay as x and y respectively .Express the statement in the form of a linear equation in two variables. -Maths 9th
Description : Five years hence , the age of Ram will be 10 more than the two thirds of Ravi’s age . Assume the present ages of Ram and Ravi as x and y respectively . Express the statement in the form of a linear equation in two variables. -Maths 9th
Description : Supriya invests 35% of her monthly salary in insurance policies. She spends 45% of her monthly salary in shopping and on household expenses. She saves the remaining amount of `25,750. What is Supriya's monthly income? a) 128750 b) 160050 c) 205200 d) 263400 e) 391800
Last Answer : Answer: A Percentage savings of Supriya = 100 – (35 + 45) = 20% Let her monthly income be x x X 20 /100 = 25750 x = 25750 × 100/20 x = 128750
Description : Vasavi spends 50% of her monthly income on grocery, clothes and education in the ratio of 8 : 4 : 10 respectively. If the amount spent on clothes is 2770/–, what is Vasavi's monthly income? a) 15235 b) 65000 c) 55400 d) 30470 e) 98700
Last Answer : Answer: D Ratio of Expenses = 8: 4: 10 therefore amount spend on clothes, i.e. 4x = 2770 x = 692.5 Total exp = (8 + 4 + 10)x = 22x. = 22 × 692.5 = 15235 Monthly income be x. 50% of x = 15235 x = 15235 × 100/ 50 X = 30470
Description : The total cost of purchasing two pens and three pencils is rs. 42. Express the statement as a linear equation in two variables. -Maths 9th
Description : The point (2,3) lies on the graph of the linear equation 3x - (a -1)y =2a -1. If the same point also lies on the graph of the linear equation 5x + (1-2a)y = 3b, then find the value of b. -Maths 9th
Last Answer : Given, point (2,3) lies on the line. So, the point (2, 3) is the solution of 3x - (a -1) y = 2a - 1 On putting x = 2 and y = 3 in given solution. ∴ 3 2 - (a-1) 3 = 2a - 1 ⇒ 6 - 3a + 3 = 2a - 1 ⇒ - 3a ... 2 2) 3 = 3b ⇒ 10 - 9 = 3b ⇒ 1 = 3b ⇒ 1 / 3 = b Hence, the value of b is 1 / 3.
Description : The graph of the linear equation 2x + 3y = 6 cuts the Y-axis at the point. -Maths 9th
Last Answer : (d) Since, the graph of linear equation 2x + 3y = 6 cuts the Y-axis. So, we put x = 0 in the given equation 2x+ 3y = 6, we get 2 x 0+ 3y = 6 ⇒ 3y = 6 y = 2. Hence, at the point (0, 2), the given linear equation cuts the Y-axis.
Description : Find the coordinate where the linear equation 4x - 23 y = 7 meets at y-axis. -Maths 9th
Last Answer : 4x-2=-7*3y 4x+21y=2 The equation meets y axis when x=0 4.0+21y=2 y=21/2 Hence , the equation meets y-axis at (0,21/2)
Description : At what point does the graph of the linear equation 2x + 3y = 9 meet a line which is parallel to the y-axis, at a distance of 4 units from the origin and on the right of the y-axis? -Maths 9th
Last Answer : hope its clear
Description : In case of joint products, the main objective of accounting of the cost is to apportion the joint costs incurred up to the split off point. For cost apportionment one company has chosen Physical Quantity Method. Three joint ... 20,000 (b) Rs. 60,000 (c) Rs. 1,80,000 (d) None of the these
Last Answer : (c) Rs. 1,80,000
Description : If the fixed costs of a factory producing candles is Rs 20,000, selling price is Rs 30 per dozen candles and variable cost is Rs 1.5 per candle, what is the break-even quantity? (1) 20000 (2) 10000 (3) 15000 (4) 12000
Last Answer : (1) 20000 Explanation: Breakeven quantity is the number of incremental units that the firm needs to sell to cover the cost of a marketing program or other type of investment. It is given by the formula: BEQ = FC / (P-VC) Where ... per unit = 30/12 = Rs. 2.5 So 20000/ (2.5-1.5) = 20000/1= Rs. 20,000
Last Answer : 20000
Description : A man spends Rs 1,800 per month on an average for the first four mouths and Rs 2,000 per month for the nest 8 months and saves Rs 5,600 a year. What is his average monthly income ?
Last Answer : Total expenditure during first four months = 1,800 x 4 = Rs 7,200 Total expenditure during the next 8 months = 2,000 x 8 = Rs 16,000 Saving = Rs 5,600 Total of expenditure and saving (equal to income ... ,200+ 16,000 + 5,600=Rs 28,800 Average monthly income = 28,800 /12 = Rs 2,400
Description : The average monthly expenditure of a family was Rs. 2200 during the first 3 months; Rs. 2250 during the next 4 months and Rs. 3120 during the last 5 months of a year. If the total savings during the year were Rs. 1260 ... income was: a) Rs. 2605 b) Rs. 2680 c) Rs. 2705 d) Rs. 2745 e) Rs. 2595
Last Answer : Total expenditure for first 3 months = 2200 3 = Rs 6600 Total expenditure for next 4 months = 2250 4 = Rs9000 Total expenditure for last 5 months = 3120 5 = Rs 15600 Total expenditure = 6600 + ... + savings = 31200 + 1260 = Rs 324060 Average monthly income = 32460/12 = Rs 2705 Answer: c)
Description : The monthly expenditure of Moorthy family was Rs 3120 during the first 4 months, Rs 3390 during the next 3 months and Rs 3618 during the last 5 months of a year. If the total saving during the year is Rs ... the average monthly income of moorthy family. A) Rs 3690 B) Rs 3785 C) Rs 3670 D) Rs 3875
Last Answer : Answer: A) Total expenditure during the year = Rs [3120 × 4 + 3390 × 3 + 3618 × 5] = Rs [12480+10170 +18090 ] = Rs 40740. Total income during the year = (40740 + 3540) = 44280. Average monthly income = (44280/12) = Rs3690. Hence, the average monthly income of moorthy family is 3690
Description : Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa. -Maths 9th
Last Answer : Let the abscissa of the point be x, According to the question, Ordinate (y) = 3 x Abscissa ⇒ y=3x When x = 1, then y = 3 x 1 = 3 and when x = 2, then y = 3 x 2 = 6. Here, ... the line AB. Hence, y = 3x is the required equation such that each point on its graph has an ordinate 3 times its abscissa.
Description : Write a solution of the linear equation 5x + 0y +8 = 0 in two variables. -Maths 9th
Last Answer : Solution : -
Description : Write any two solutions of the linear equation 3x + 2y =9. -Maths 9th
Description : Write the linear equation represented by line AB and PQ. Also find the co-ordinate of intersection of line AB and PQ. -Maths 9th
Description : Two batsman Rahul and Anil while playing a cricket match scored 120 runs. For this, write a linear equation in two variables and draw the graph. -Maths 9th
Description : Half the perimeter of a rectangular garden in 36m. Write a linear equation which satisfies this data. Draw the graph for the same. -Maths 9th
Description : In a public examination , Raghav scored twice twice Sunitha’s score. If r and s represent the scores of Raghav and Sunitha respectively , Write a linear equation in r and s representing the above situation ? -Maths 9th
Last Answer : Let raghav and sunita score be r and S respectively. Sunita score=2times raghav score Therefore, s=2r
Description : The actual output of 162,500 units and actual fixed costs of Rs. 87000 were exactly as budgeted. However, the actual expenditure of Rs 300,000 was Rs. 18,000 over budget. What was the budget variable cost per unit?
Last Answer : (a) Rs 1.20
Description : The graph of the linear equation 2x+ 3y = 6 is a line which meets the X-axis at the point. -Maths 9th
Last Answer : (c) Since, the graph of linear equation 2x + 3y = 6 meets the X-axis. So, we put y = 0 in 2x + 3y = 6 ⇒ 2x + 3(0) = 6 = 2x + 0 = 6 ⇒ x = 6/2 ⇒ x = 3 Hence, the coordinate on X-axis is (3, 0).