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Alexxx [7]
3 years ago
10

Complete a factor tree and a ladder diagram to find the prime factorization of 54

Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0
     Factor Tree
             54
          6  ×  9
      2 × 3   3 × 3
54 = 2 × 3 × 3 × 3 = 2 × 3³

2|54
  3|27                  → 54 = 2 × 3 × 3 × 3 = 2 × 3³
    3|9
       3
I'm not sure about ladder method... is it the same as upside down division.
Begin with a prime number that will divide into the number.

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6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula
MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

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Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

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- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

3 0
3 years ago
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