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Simora [160]
3 years ago
10

Divya is organizing a training for two different seminars, one for teachers and one for mechanics. She has a total of 132 pens a

nd 87 pads of paper. If each of the teachers need 3 pads of paper and 5 pens, and each of the mechanics needs 1 pad of paper and 2 pens, how many teachers and mechanics can she have at the conventions?

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Step-by-step explanation:

Below is an attachment containing the solution.

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ANSWER

(x - 5) ^{5}  =  {x}^{5}  - 25 {x}^{4} + 250 {x}^{3}   - 1250 {x}^{2} + 3125x- 3125

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

(x - y) ^{5}  =  {x}^{5}  - 5 {x}^{4} y + 10 {x}^{3}  {y}^{2}  - 10 {x}^{2}  {y}^{3}  + 5x {y}^{4}  -  {y}^{5}

We now put y=5 into the expansion to get,

(x - 5) ^{5}  =  {x}^{5}  - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2})  - 10 {x}^{2}  ({5})^{3}  + 5x( {5})^{4}  - {5}^{5}

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