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3 years ago

Least common denomiator of 7/9 and 11/6

Mathematics

1 answer:

Over [174]3 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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Please help very urgent

Alik [6]

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

3 years ago

Read 2 more answers

A parking lot charges $1.50 for the first hour of of parking and 55 cents for each additional half hour.how much would it cost t

Debora [2.8K]

I think the answer is $4.25

3 0

3 years ago

Read 2 more answers

Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladrador

Zarrin [17]

Answer:

la respuesta esta abajo

Step-by-step explanation:

a) Sea x el número del artículo x mientras que y representa el número del artículo y.

Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:

2x + 5y ≤ 40

b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.

c) Para 10 unidades de X y 5 unidades de y:

2 (10) + 5 (5) = 45> 40

Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.

8 0

3 years ago

A triangle has side lengths of 8 cm, 15 cm, and 17 cm. Classify it as acute, obtuse, or right.

Westkost [7]

Answer:

$15^{2}$ = 225

$8^{2}$ = 64

$17^{2}$ = 289

$15^{2}$ + $8^{2}$ + $17^{2}$

= 225 + 64 = 289

289 = 289

Hence its a right angled triangle

Hope it helps

Please mark me as the brainliest

Thank you

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3 years ago

Lb = 64 oz Helppppppppppppp me <img src="https://tex.z-dn.net/?f=5" id="TexFormula1" title="5" alt="5" align="absmiddle" clas

chubhunter [2.5K]

Answer:

no u

Step-by-step explanation: no no no no no no no no no

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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