Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero. ​

Perform The Indicated Operations And Reduce To Lowest Terms. Assume That No Denominator Has A Value Of

Answers

Answer 1

Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]


Related Questions

Simplify the expression:
r+r+r+r+r+h

Answers

Answer:

r^4+h

Step-by-step explanation:

expression would be r5 + h

Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. Represéntala. ¿Se pueden unir los puntos?

Answers

Answer:

1.2X = $

Step-by-step explanation:

Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:

1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)

1.2X = $

Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:

1.2 x 100 = $

120 = $

a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.​

Answers

He made no gain

He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money

help a girl pass her math test pleaseee

Answers

Answer:

Your answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

A looks good

A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?

Answers

Answer:

2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.

Help me please this is due today and I’m stuck on this question

Answers

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

What is the diameter of a circle that has a radius of 7
inches?

Answers

Answer:

d=14in

Step-by-step explanation:

Solution

d=2r=2·7=14in

Hope this helped!!!

Consider the system of linear equations and the matrix equations below.
- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  [tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D

Answers

Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

You used 15.6 kWh to recharge an EV at a cost of 11.6 cents per kWh. How
much did you spend to recharge the car?
$180.96
$18.00
$1.36
$1.81

Answers

Answer:

1.81

Step-by-step explanation:

the reason is because many may think by using a calculator, and make a mistake by putting 15.6 x 11.6, and think "Oh its 180.96" but they forget that they are multiplying cents, but with money you round the nearest decimal to a cent, so they get 1.81

15.6 x 11.6 = 180.96

flip it and jump the 1 a single spot to the left. (1 80.96)

Now jump the decimal between the 1, and the 8. (1.8096)

Now round the thousandth and ten thousandth to remove the zero and make it one. (1.8096= 1.81)

And that's how you get 1.81

if i'm wrong I need to go back to 5th grade and learn my money and decimals semester.

Is (3,-4) a solution to this system?

Answers

Answer:

Bug0

Step-by-step explanation:

tangá Bubv haha yaanka amp

What,can i do to pass math​

Answers

Answer:

Pay attention in class

WRITE DOWN FORMULAS

contribute in class

Try to memorize formulas

Try your best!

Try writing down problems cause if you understand how to write a problem on what your learning you have a good chance at getting the answer correct Also if you have any questions on the math your doing right now I could maybe try to help best of luck!

Find the slope of the line that passes through
(8,3) and (3, 4)?

Answers

(Y2 -Y1)
————-
(X2-X1)

4-3
—— =
3-8

1/-5

The amount of interest accrued on
a $7,000 loan with 6% interest after t years.

Answers

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?

Answers

Answer:

∠A = 42°

Step-by-step explanation:

sin ∠A = 12/18 = 0.6667

∠A = 41.81°

Answer:

42 degrees

Step-by-step explanation:

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement

Answers

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that [tex]p = 0.2[/tex]

Suppose that sixteen adults in the United States are selected randomly.

This means that [tex]n = 16[/tex]

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]

[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]

[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]

[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

What is the slope of the line given by the equation y=-3X?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

y=mx+b

m=slope

m=-3

slope=-3

hope this helps!

using the slope- intercept form the answer would be -3 :)

help me i really need the help

Answers

Answer:

G: 1 3/4

Step-by-step explanation:

you have to divide, 8 3/4 cups by 5 and you get 1 3/4!

Answer:

G. 1 3/4

Step-by-step explanation:

There are multiple ways you can do this, but there's one easy way.

You can convert 8 3/4 to a decimal, which is 8.75.

From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/

What is the area of the obtuse triangle given below?
2 9

Answers

Answer:

The area is 9 unit squared

Step-by-step explanation:

Given

The right parameters are:

[tex]Base = 2[/tex]

[tex]Height = 9[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * 2 * 9[/tex]

[tex]Area = 9[/tex]

Hence, the area is 9 unit squared

Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20

Answers

H is the answer for the question

The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For this case, the table is missing, the results recorded were:

Toss         Spin        Frequency

Head          1                 2

Head          2                6

Head          3                7

Tail             1                 7

Tail             2                5

Tail             3                13

That means total number of times experiment was done was: 2+6+7+7+5+13=40

Let we take E = event of  tossing a tail and spinning a 2

Thus, from the table, we see that E occurred 5 times.

Thus, based on this, the experimental probability of occurrence of E is:

[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)

Learn more about probability here:

brainly.com/question/1210781

I need answer for this question

Answers

Answer:

The answer should be D) 4x^ + x + 3

You wonder what is the average number of credits Le Moyne students take per semester. You speak with the Le Moyne registrar, and they tell you that Le Moyne students take an average of 17 credits per semester with a population standard deviation of 2.5 credits. We plan to take a sample of 49 students and ask each student how many credits they plan to take. Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits. What does the CLT say about the distribution of the sample mean of 49 students

Answers

Answer:

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.

This means that [tex]\mu = 17, \sigma = 2.5[/tex]

What does the CLT say about the distribution of the sample mean of 49 students?

It is approximately normal.

The mean is 17.

Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Find the value of x. help please if you understand

Answers

Sin(x) =9/25
Sin(x)=0.36
Sin^-1 (0.36)= 21.10
x=21.10

Suppose a normal distribution has a mean of 34 and a standard deviation of 2. What is the probability that a data value is between 31 and 37? Round your answer to the nearest tenth of a percent.A.86.6%B.88.6%C.87.6%D.85.6%

Answers

Answer: it’s 86.6%

Step-by-step explanation:

If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.

Answers

Your total expense would be 35$ because 25+10=35 and then since you are talking about money you add the money sign. Your answer would be 35$

Pls answer. I will mark brainliest.

Answers

Answer:

true

false

true

false

true

false

Step-by-step explanation:

PLease give me answer ASAP

Answers

Answer:

             

Step-by-step explanation:

Answer:

the answer is get noob..........

Find the length of the cable in the diagram below.

Answers

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.

HELP! what is the unit rate???

Answers

the unit rate for that equation is .33

Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

20 POINTS PLS HALP!!!
Greenland is the least densely populated country in the world, with a population of 57,714 and
an area
of 836,109 square miles. To the nearest hundredth, what is the population density of
Greenland in people per square mile?

Answers

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]

Answer:

.07 people per square mile

Step-by-step explanation:

We can just divide the people by area

57714/836109=.06902688525 or about .07 people per square mile

I think you got confused about the division and what to divide by what

Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile

If we did it the opposite way we get THE AREA that EACH PERSON HAS

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