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Setler [38]
3 years ago
15

What is the least common denominator of 7/8, 10/11 and 2/3

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

Equivalent Fractions with the LCD

7/8 = 231/264

10/11 = 240/264

2/3 = 176/264

Step-by-step explanation:

Solution:

Rewriting input as fractions if necessary:

7/8, 10/11, 2/3

For the denominators (8, 11, 3) the least common multiple (LCM) is 264.

LCM(8, 11, 3)

Therefore, the least common denominator (LCD) is 264.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/8 = 7/8 × 33/33 = 231/264

10/11 = 10/11 × 24/24 = 240/264

2/3 = 2/3 × 88/88 = 176/264

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Answer:

\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]

Step-by-step explanation:

Given that A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right] and B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right].

Therefore, BA = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] × \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right] = \left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right] (Answer)

For, the 1st row-1st column element is obtained by multiplying the 1st row of B matrix and 1st column of A matrix.

Similarly, the 1st row-2nd column element is obtained by multiplying the 1st row of B matrix and 2nd column of A matrix.

And so on. (Answer)

8 0
3 years ago
Describe the relationship between the values of the digits in the number 9,999,999
Anit [1.1K]
Because all the digits are the same, each digit is worth 10x the one to its right and 1/10 of the one to its left.
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Step-by-step explanation:

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A house is built on coordinates (2,9). There is a water pipeline that runs along the line y = 2 3 x – 1. What is the approximate
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Answer:

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Step-by-step explanation:

The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.

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d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)

hence A = 2/3, B = -1, C = -1, x_1=2,y_1=9\\. Therefore:

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3 years ago
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