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Oxana [17]
3 years ago
7

Simplyfy. 5x^3y^4(6xy^-1)^2

Mathematics
2 answers:
Fofino [41]3 years ago
7 0

Answer: 180x5y2

Hope this helps!

iragen [17]3 years ago
7 0

Answer:

180x^5y^2

Step-by-step explanation:

5x^3y^4(6xy^-^1)^2\\5x^3y^4(6^2x^2y^-^1^(^2^))\\5x^3y^4(36x^2y^-^2)\\180x^5y^2

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The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
Troyanec [42]

Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

Area of each smaller rectangle = \frac{26\times 36}{9} = 104\ cm^2

To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

104 = 13 \times  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

5 0
3 years ago
What is the value of x?
nalin [4]

Answer:

  x = 42.9 m

Step-by-step explanation:

Corresponding sides of similar triangles MAB and MNP are proportional. This means ...

  x/MP = MA/MN

However, we don't have a number for MA yet, so we need to find it.

  MA +AN = MN

  MA = MN - AN            subtract AN

  MA = 67.2 m - 32 m = 35.2 m

Now, we can use this to find x.

  x = MP · (MA/MN) = (81.9 m) · 35.2/67.2

  x = 42.9 m

4 0
3 years ago
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What is the ratio of 5<br> footballs to 9 Baseballs
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Step-by-step explanation:

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