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Represent the following situations mathe...

Represent the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

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The correct Answer is:
(i) `x^(2)-45x+324=0(ii)x^(2)-55+750=0`
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Represent the following situations mathematically:(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation to find x .

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 128. Form the quadratic equation to find how many marbles they had to start with, if John had x marbles.

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90. Find the number of articles produced and the cost of each article.

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90. Find the number of articles produced and the cost of each article.

Ravi distributes 6 marbles to each of his friends and runs short by 4 marbles. If the number of his friends is f, how many marbles he had?

A bag had 90 marbles. John came and took 38 away and Amit put in some more marbles in the bag. If the number of marbles in the bag now are 15 more than the number that was in the bag initially, find how many marbles Amit had put in the bag.

A toy store had 5763 marbles in stock. In one month, the store was ale to sell off 3445 marbles. Estimate, the number of marbles left over, rounding off the numbers to the nearest hundred.

Raju wishes to put marbles in a small rectangular box in rows of 4 marbles each. a. Find the rule that gives the number of marbles that can be put in the box. b. Find the number of marbles if the number of rows is 7.

A drum contains 3 to 5 jars each of which contains 30 to 40 marbles. If 10 percent of the marbles are flawed, which of the folllowing cannot be the number of flawed marbles?

NAGEEN PRAKASHAN ENGLISH-QUADRATIC EQUATIONS-Exercise 4a
  1. Which of the following are quadratic equations? (i)x^(2)8x+12=0 (ii)...

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  2. Represent the following situations mathematically: (i) John and Jiva...

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  3. Which of the following are roots of 4x^(2)-9x-100=0? (i) -4 (ii) (3)...

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  4. If one root of the quadratic equation 6x^(2)-x-k=0" is" (2)/(3), then ...

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  5. Solve each of the following equatins : 3x^(2)-243=0

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  6. Solve each of the following equatins : 5x^(2)+4x=0

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  7. Solve each of the following equatins : x^(2)+12x+35=0

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  8. Solve each of the following equatins : 2x^(2)-5x+3=0

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  9. Solve each of the following equatins : 6x^(2)-x-2=0

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  10. Solve the following equatins for x: 8x^(2)-22x-21=0

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  11. Solve each of the following equatins : 9x^(2)+6x+1=0

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  12. Solve each of the following equatins : 48x^(2)-13x-1=0

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  13. Solve each of the following equatins : 6x^(2)+40=31x

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  14. Factorize sqrt3x^2+11x+6sqrt3

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  15. Solve each of the following equatins : 3sqrt7x^(2)+4x-sqrt7=0

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  16. Solve each of the following equatins : 2sqrt5x^(2)-3x-sqrt5=0

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  17. Solve each of the following equatins : x^(2)+5=(9)/(2)x

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  18. Solve each of the following equatins : x=(3x+1)/(4x)

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  19. Solve each of the following equatins : x+(1)/(x)=2.5

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  20. Solve each of the following equatins : 5x-(35)/(x)=18,xne0

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