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emmainna [20.7K]
1 year ago
14

What is the greatest common factor of 253 and 345?

Mathematics
2 answers:
Vilka [71]1 year ago
8 0
The greatest common factor of 253 & 345 is 23
dlinn [17]1 year ago
4 0

Answer:

23

Step-by-step explanation:

To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.

253 = 1 * 11 * 23

345 = 3 * 5 * 23

Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.

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Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
5 0
3 years ago
Simplify and then classify by degree and number of terms<br> 2x+3x^2(4x-5)
Delicious77 [7]

Answer:

2x + 3x^2 (4x - 5)

2x + 12x^3 - 15x^2

12x^3 - 15x^2 + 2x

Degree - 3

Terms - 3 (Trinomial)

<h3>Lets explore more - </h3>

  • The degree of a polynomial is the highest power of its variable
  • Degree represents the no. of zeros of the polynomial

  • <em><u>Linear</u></em><em><u> </u></em> - Degree 1
  • <em><u>Quadrati</u></em><em><u>c</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>Degree 2
  • <em><u>Cubic</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>Degree 3
  • <em><u>Biquadratic</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>Degree 4

  • Terms - Classification of polynomial On the basis of terms

  1. monomial - polynomial which has only 1 term
  2. Binomial - Polynomial which has 2 terms
  3. Trinomial - Polynomial which has 3 terms
5 0
3 years ago
Read 2 more answers
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yanalaym [24]
Just multiple, you will get 15x+25x+6x+10 and then simplify
the answer 46x+10
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3 years ago
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Factor 18x^3+24x^2-21x-28
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