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2 years ago

Least common denomiator of 7/9 and 11/6

Mathematics

1 answer:

Over [174]2 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

The least common denominator (LCD) is the least common multiple (LCM) of the denominators.

Here, the denominators are ...

9 = 3·3

6 = 3·2

So, their LCM is 3·3·2 = 18.

The least common denominator of the given fractions is 18.

7/9 = 14/18

11/6 = 33/18

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Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left

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Answer: x=100

Step-by-step explanation:

In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100

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2 years ago

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3 years ago

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Determine whether the relationship between the two quantities is proportional. Explain.

ira [324]

Answer:

Option B. No, because the graph of the line connecting the ordered pairs does no pass through the origin.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

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3 years ago

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Solve the simultaneous equations 4x+3y=1 4x^2+3xy+y^2=2

Fantom [35]

Notice that the second equation,

4x ² + 3xy + y ² = 2

can be written as

x (4x + 3y) + y ² = 2

and the first equation says 4x + 3y = 1, so this reduces to

x + y ² = 2

Solve the first equation for x :

4x + 3y = 1

4x = 1 - 3y

x = (1 - 3y)/4

Substitute this into the reduced second equation to get a quadratic equation in y, which happens to be easily factorized and solved:

(1 - 3y)/4 + y ² = 2

1 - 3y + 4y ² = 8

4y ² - 3y - 7 = 0

(4y - 7) (y + 1) = 0

4y - 7 = 0 or y + 1 = 0

y = 7/4 or y = -1

Solve for x :

x = (1 - 3 (7/4))/4 or x = (1 - 3 (-1))/4

x = -17/16 or x = 1

So the two solutions are (x, y) = (-17/16, 7/4) and (x, y) = (1, -1).

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2 years ago

Find S8 for the geometric series 3 + -6 + 12 + -24 +…

kirill115 [55]

I guess you are asking to find the sum of the first 8 terms. If so, then:
Sum = a₁(1-rⁿ)/(1-r), where a₁ is the 1st term, r=common ratio and n=number of terms:
the 1st term a₁ =3
common ratio r = - 2 (since -6/3 = - 2, and 12/-6 = - 2, etc.)

Sum = 3[(1- (-2)⁸]/(1-2) = 3(1- 256)/(1/2)
Sum = -1530

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3 years ago

Least common denomiator of 7/9 and 11/6​

Least common denomiator of 7/9 and 11/6