9 and 5/12 - 3 and 2/3

1 answer:

5 0

Recall to always convert the mixed fractions to "improper" fractions first,

$\bf \stackrel{mixed}{9\frac{5}{12}}\implies \cfrac{9\cdot 12+5}{12}\implies \stackrel{improper}{\cfrac{113}{12}}
\\\\\\
\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}\\\\
-------------------------------\\\\
\cfrac{113}{12}-\cfrac{11}{3}\impliedby \textit{clearly our LCD is 12}\implies \cfrac{113-(4)11}{12}
\\\\\\
\cfrac{113-44}{12}\implies \cfrac{69}{12}\implies 5\frac{9}{12}$

You might be interested in

What is the sum of the interior angles of nonregular hexagons?

gavmur [86]

Answer:

They add up to 720 degrees

6 0

3 years ago

Read 2 more answers

A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd num

Makovka662 [10]

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

$P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}$

Probability of 3 is half of 1/5.

$P(X = 3) = \frac{1}{10}$

Probability of 5 is 1/5. So

$P(X = 5) = \frac{1}{5}$

Probability of drawing an odd numbered ticket:

$p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6$

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

3 0

2 years ago

Please help me!!! :(

PSYCHO15rus [73]

Answer:

$15.75x^{10}y^{19}$

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

$512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}$