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3 years ago

Simplify by combining like terms: 3 1/9p + 5 - 1/3p

Mathematics

2 answers:

diamong [38]3 years ago

8 0

Answer:

$7\frac{2}{3}$

Step-by-step explanation:

$3\frac{1}{9}p+5-\frac{1}{3}p$

Put it into a different form to make it easier.

$3\frac{1}{9}p-\frac{1}{3}p+5$

Add the fractions. We need to figure out the LCM to figure out the common denominator. The LCM is 9 in this case.

$3\frac{1}{9}-\frac{3}{9} +5$

I like to convert into imroper fractions. This is optional though.

$\frac{28}{9} -\frac{3}{9} +5$

$\frac{24}{9} +5$

$\frac{8}{3}+5$

Get a common denominator. The LCM is 3.

$\frac{8}{3}+\frac{15}{3}$

$\frac{23}{3}$

Make this fraction into a mixed number.

$7\frac{2}{3}$

I hope this helps!

Airida [17]3 years ago

6 0

Answer:

5(5p+9)

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Step-by-step explanation:

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2( 5 1 m− 5 2 )+ 5 3

Fantom [35]

Answer:

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Step-by-step explanation:

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3 years ago

Which representation has a constant of variation of -2.5

Neporo4naja [7]

Answer:

See explanation

Step-by-step explanation:

The constant of variation is found using the slope formula:

$\frac{y_2-y_1}{x_2-x_1}$

The given relation is

X : -2 , -3, -4, -5

Y : -5, -7.5,-10,-12.5

We can use any two ordered pair to find the constant of variation.

Using (-2,-5) and (-3,-7.5), we have

$m=\frac{-7.5--5}{-3--2} =\frac{-2.5}{-1} =2.5$

The constant of variation is 2.5

We need to repeat this for all the options to identify the one with -2.5 as slope.

unfortunately, you did not provide the remaining options.

6 0

3 years ago

Read 2 more answers

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

3 years ago

Read 2 more answers

The ratio of 6:5 can be expressed as

Helen [10]

Answer:

the ratio of 6:5 can be expressed as 6/5

7 0

3 years ago

If a rope is 36 feet long and cut into 8 sections what is the length in feet of each section

tigry1 [53]

Answer:

The length of feet in each section is 4 4/8 which is then reduced to 4 1/2

Step-by-step explanation:

In order to get the answer, you will divided 36 by 8. When you divide, you then get 4 4/8 which is then reduced to 4 1/2. Hope this helps! :)

<h2>CloutAnswers</h2>

3 0

3 years ago

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