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Nataly [62]
3 years ago
15

3. Find the least common denominator for the group of denominators using the method of prime numbers. 45, 75, 63​

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

We have to find LCM

3 | 45,75,63

3 | 15,25,21

5 | 5,25,7

5 | 1,5,7

7 | 1,1,7

LCM=3×3×5×5×7=1575

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Answer:

x=10

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Step-by-step explanation:

3x + 5y= 15...eqn. 1

2x + 4y= 8...eqn. 2

multiply eqn. 1 by 2 and eqn. 2 by 3

6x + 10y = 30...eqn. 3

<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>

0 - 2y = 6

divide both sides by the coefficient of y which is -2

<u>- 2y</u> = <u>6</u>

- 2 -2

y= -3

Put y= -3 into eqn. 1

3x + 5(-3) = 15

3x - 15 = 15

3x =15 + 15

<u>3x</u> =<u> 30</u>

3 3

x = 10

Therefore X= 10 and Y= -3

7 0
3 years ago
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the a
Norma-Jean [14]

Answer:

60.0735651 degrees

Step-by-step explanation:

So the hypotenuse is 50 and the vertical leg is 13

For the angle, you need to find the sine (opposite and hypotenuse)

sin(x) = 13/50

x = asin(13/50)

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Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Vikentia [17]

Answer:

$16

Step-by-step explanation:

0.75x = 12\\3x = 48\\x = 16

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