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lora16 [44]
2 years ago
7

Find the Least Common Multiple (LCM) of (9, 12, 15) by common multiple method.

Mathematics
1 answer:
jasenka [17]2 years ago
7 0

Answer:

the LCM is 180

<h3>Step by step explanation:</h3>

2 9, 12, 15

2 9, 6, 15

3 9, 3, 15

3 3, 1, 5

5 1, 1, 5

1, 1, 1

2×2×3×3×5=180

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What is the mean of the set of numbers -10, -5 ,2, 6, 17. <br>2<br>8<br>10<br>or 0​
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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le
julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is 6x-3 centimeters.

The width is  2x+6 centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u>\frac{4}{5} of the length.

2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\

Adding both sides by \frac{12}{5}

2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}

Subtracting both sides by 2x

2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\

By cross multiplication:-

5\times14x=5\times42\\ \\ 70x=210\\ \\

By diving both sides by 70

x=3

<u>Now, substituting the value:-</u>

The length = 6x-3 cm

                  = 6\times3-3=18-3=15\ cm

The width = 2x+6 cm

                 = 2\times3+6=6+6=12\ cm

Thus, length and width of canvas are 15 cm and 12 cm.

7 0
3 years ago
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