8. Simplify the rational expression.
3x-27
3x + 3

Answers

Answer 1

Answer:

below

Step-by-step explanation:

3(x-9)

3(x+1)

divide by a gcf and place it outside the parenthesis.


Related Questions

Ivy corporation gave 79 people a bonus. If Ivy had given 5 more people bonuses, Ivy would have rewarded 3/5 of the workforce. How large is Ivy's workforce. HELP.

Answers

Answer:

140 people in Ivy's workforce

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

Answer:

140

Step-by-step explanation:

First, add together the 79 workers and the 5 extra people.

79 + 5 = 84

Now take 84 divided by 3/5 to find the number of people who are in the workforce.

84/ 3/5 = 140 people in Ivy's workforce

A polar bear migrate north during winter to hunt for its food on sea ice. The daily average temperature decreases 3°C for every 100 km traveled. At the start of the bear's journey, the temperature is 2"C. What is the temperature after 200 km of its journey ?

Answers

Answer:

The average temperature after 200 kilometers of journey is -4 °C.

Step-by-step explanation:

The situation shows that change in average temperature is directly proportional to travelled distance:

[tex]T = 2^{\circ}C - \frac{3^{\circ}C}{100\,km} \cdot (200\,km)[/tex]

[tex]T = -4^{\circ}C[/tex]

The average temperature after 200 kilometers of journey is -4 °C.

Answer:

The temperature after 200 km of its journey is -4°C

Step-by-step explanation:

To find the new temperature, first, you need to find how much the temperature decreases, and then subtract this temperature decrease to the initial temperature.

The temperature decreases 3°C for every 100 km travelled, then, after 200 km the temperature decreases 2*3 = 6 °C.

At the start of the bear's journey, the temperature was 2 °C, after 200 km the temperature is 2 - 6 = -4°C

Which is NOT a way to state the meaning of the expression h + 7?

Answers

ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer

Answer:

                   

Step-by-step explanation:

4(1 - x) + 2 x= -3( x + 1)

Answers

Answer:

x = -7

Step-by-step explanation:

Solve for x:

4 (1 - x) + 2 x = -3 (x + 1)

4 (1 - x) = 4 - 4 x:

2 x + 4 - 4 x = -3 (x + 1)

2 x - 4 x = -2 x:

-2 x + 4 = -3 (x + 1)

Expand out terms of the right hand side:

4 - 2 x = -3 x - 3

Add 3 x to both sides:

3 x - 2 x + 4 = (3 x - 3 x) - 3

3 x - 3 x = 0:

3 x - 2 x + 4 = -3

3 x - 2 x = x:

x + 4 = -3

Subtract 4 from both sides:

x + (4 - 4) = -4 - 3

4 - 4 = 0:

x = -4 - 3

-4 - 3 = -7:

Answer:  x = -7

Answer:

X=-7

Step-by-step explanation:

What fraction of the circle would 3 pieces represent?

Answers

Answer:

3/4 would represent the shaded in parts of the circle

Step-by-step explanation:

I cannot give you an accurate answer seeing as you did not give much detail

What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……

Answers

Answer:

31.25

Step-by-step explanation:

Firstly, we need to identify the pattern.

Pattern: every next number is obtained by dividing the previous number by 2.

1st number = 1000

2nd number = 1000/2 = 500

3rd number =  500/2 = 250

4th number = 250/2 = 125

5th number = 125/2 = 62.5

6th number = 62.5/ 2 = 31.25.

_______________________________________________

It can be also solved using concept of geometric progression

In GP

any nth number is given by = [tex]ar^(n-1)[/tex]

where a is first number

r is the common ratio for the gp

r common ratio is calculated by = nth/(n-1)th

here r = 500/1000 = 1/2

a = 1000

next term which we need to find is 6th terms

Thus, 6th terms = [tex]1000*(1/2)^(6-1)[/tex]

 [tex]=1000/2^5[/tex]

=1000/32 = 31.25

A farmer has a large field that is x feet in length. He wants to fence in a rectangular section in the middle of the field, leaving a length of 100 feet of open field beyond each end of the fenced rectangle. He also wants the width of the fenced-in space to be 100 feet less than its length, as shown in the diagram.
Find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)

Answers

Answer:

y = x2 − 500x + 60,000

Step-by-step explanation:

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x2 − 300x − 200x + 60,000

= x2 − 500x + 60,000

Answer:

y= x^2 − 500x + 60,000

Step-by-step explanation:

Other loser made a mistake

The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.

area of the fenced-in section = length • width

y = (x − 200)(x − 300)

= x^2 − 300x − 200x + 60,000

= x^2 − 500x + 60,000

solve for 4/5 x ( -2/9 )​

Answers

Answer:

-8/45

Step-by-step explanation:

4/5 * -2/9

Multiply the numerators

4*-2 = -8

Multiply the denominators

5*9 = 45

numerator over denominator

-8/45

Please help.


The best answer will get brainliest.

Answers

Answer:

Mean= 10

Step-by-step explanation:

Mean= Total value of data/Number of datas given

         =3+2+26+9/4

         =40/4

         =10

Mean= 10

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

Answer is (b) The worker with 40 hours of training is paid $1400 per month

3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15

Answers

The answer d)
Explaining
y = -18 + 3
y= -15

Answer:

Its a) 15

Step-by-step explanation:

A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation 14 pounds.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.

The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This us a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 42

μ2 = 45

s1 = 12

s2 = 14

n1 = 49

n2 = 36

t = (42 - 45)/√(12²/49 + 14²/36)

t = - 1.04

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03

df = 68

We would determine the probability value from the t test calculator. It becomes

p value = 0.15

Assuming a significance level of 0.05, then

Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.

Find the unit rate.
Kenny reads
3/8 page in 2/3 minutes.

Answers

Answer:

15/ 16  

Step-by-step explanation: 3/2 x 5/8=  15/16

you flip 2/3 to 3/2 and multiply it

Sa piajes egne baseball games this season. Her point totais for each game were 8. 14.4 7.6.14, 4 and 7. What was
the mean number of points she scoret per game?

Answers

Answer:

The mean number of scores per game is 8

Step-by-step explanation:

Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.

The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units

Answers

Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT

Answers

Answer:

x=2

Step-by-step explanation:

The midsegment AB=(DG+EF)/2

so (5x-4+8x+2)/2=12

       *2                     *2

13x-2=24

+2       +2

13x=26

:13  :13

x=2

Write using only positive exponents. 16x^4z^4/36x-2yz^0

Answers

Answer:

Step-by-step explanation:

16x^4y^-3z^4 / 36x^-2yz^0

16x^4y^-3z^4 = 16x^4z^4/y^3

36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2

16x^4y^-3z^4 / 36x^-2yz^0

= (16x^4z^4/y^3) / (36y/x^2)

= 16x^4z^4/y^3 * x^2/36y  

= (4/9)x^6z^4/y^4

or another way

fist multiply it out

f(x) = 4x^(3/5) - x^(8/5)

now differentiate knowing d/dx(x^n) = n x^(n-1)

to get

4*(3/5) x^(-2/5) - 8/5 x^(3/5)

simplify to get

12/5/x^(2/5) -   8/5 x^(3/5)

If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)

Set up the inequality of $3.000 and $15

Answers

Answer:

  $3.00 < $15.00

Step-by-step explanation:

It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...

  $3.00 < $15

  $3,000 > $15

What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58

Answers

Answer:

  4 and -10

Step-by-step explanation:

Take the square root:

  x +3 = ±√49 = ±7

Subtract 3:

  x = -3 ± 7

For the minus sign, we have ...

  x = -3 -7 = -10

For the plus sign, we have ...

  x = -3 +7 = 4

The solutions are x = 4 and x = -10.

The solutions of the quadratic equation x = 4 and x = –10

Step-by-step explanation:

Factor 4x^3 + 40x^2 + 100x

Answers

Answer:

4 x (x + 5)^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5)^2:

Answer: 4 x (x + 5)^2

how do you write 5179 in figures

Answers

Five-thousand one-hundred seventy- nine

Patty goes to the mall at 9:30 am and meets a friend at a movie at 11:15 am. Patty wants to shop and have 55 min for lunch before meeting her friend
How much time can patty spend shopping?

Answers

Answer:

50 minutes

Step-by-step explanation:

Time when patty goes to mall = 9:30 am

Time when he has to meet a friend = 11.15 Am

Spare time patty has is interval between Time when he has to meet a friend

and Time when patty goes to mall

which can be written as

Spare time patty has = 9:30 am to 10:30 am which is 1 hours 45 mins.

One hour has 60 minutes.

Thus total time in minutes patty has = 1*60 minutes + 45 minutes = 105 minutes.

Time which will be used by Patty to have lunch = 55 minutes.

Time left out if 55 minutes are used in lunch = total spare time - time for lunch = (105 - 55 ) minutes = 50minutes.

Patty wants to shop in the spare time after allocating 55 minutes to lunch.

Thus the rest of time which is 50 minutes, he can use to shop.

Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age
of a person who receives a discount.
Which inequality represents the age of a child who receives a discount?
Which inequality represents the age of an older person who receives a discount?
Which compound inequality represents the age of a person who receives a discount?
Done
h Intan

Answers

Answer:

Hi

Step-by-step explanation:

In

In a study of contamination of fish in the nations' rivers and lakes, the EPA found that 91% of water quality test sites showed the presence of PCB, a cancer-causing agent. Suppose a follow-up study of 200 rivers and lakes in 2018 showed the presence of PCB in 177 cases. Does the statistical evidence support the conclusion that as of 2018 water clean-up programs have reduced the proportion of locations with PCB? Use as level of significance. Based on the above, the hypothesis statement and decision are A. The alternative hypothesis is less than.91/Do not reject the null B. The null hypothesis is greater than and equal to.886/Do not reject the null C. The null hypothesis is less than .855/Do not accept the nul D. The alternative hypothesis is greater than .91 /Do not acoept the null E. The nullis less than .91 /Do not reject the null

Answers

Answer:

A. The alternative hypothesis is less than.91/Do not reject the null

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

z = -1.24

P value = P(Z<-1.24) = 0.11

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n=200 represent the random sample taken

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 200

po = Null hypothesized value = 0.91

p^ = Observed proportion = 177/200 = 0.885

Substituting the values we have

z = (0.885-0.91)/√(0.91(1-0.91)/200)

z = −1.23541552776

z = -1.24

To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.

P value = P(Z<-1.24) = 0.107488 = 0.11

Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.

What’s the correct answer for this? Select the ones that apply

Answers

Answer:

B, C and E

Step-by-step explanation:

1) Proving that opposite sides have equal slopes as they are parallel also

2) Proving that opposite sides are parallel and equal

698,000 converted to scientific notation​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Scientific notation is written as:

a x 10^n

where 'a' is a value between 1 and 10

In this case, it would be:

6.98 x 10^5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Correct Answer:

6.98 x 10^5

According to the most recent census, the average total yearly expenses of households in Wake County is $45,900. It is also known that the distribution of household expense in Wake County is strongly skewed to the right with a standard deviation of $8,370. A researcher is going to randomly select a sample of 7 households from Wake County.
1. Which of the following is true?
Select all that apply:
a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.
b. The sampling distribution of the sample mean will have a different standard deviation than the population.
c. The shape of the sampling distribution of the sample mean will be skewed right.
d. The sampling distribution of the sample mean will have a larger standard deviation than the population.
e. We cannot tell what the shape of the sampling distribution of the sample mean will look like.
f. The shape of the sampling distribution of the sample mean will be approximately symmetric.

Answers

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

idk how to do this , pls help

Answers

Answer:

15 times 32 times 6 is 2880

16 times 6 times 2 is 192

2880 plus 192 is 3074

D) 3074

well well look who is hereuse the same method i gave uthe volume of 1st cuboid is l×b×h=15×32×6=2880volume of 2nd cuboid is l×b×h=16×6×2=192the total volume is 2880+192=3072

There were 4 golden retrievers at the dog park last Saturday, along with 4 other dogs.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be golden retrievers?

Answers

Answer:

9 Golden Retrievers.

Step-by-step explanation:

If there were 8 dogs last Saturday, and half were golden retrievers, next Saturday should have half golden retrievers. 18 divided by 2 equals 9.

[tex]18 \div 2 = 9[/tex]

Hope this helped :)

Answer:

ryt

Step-by-step explanation:

Which situation can be represented by the equation Y equals 74X

Answers

Answer:

X: amount of a spare part of price $74 per unit.

Y: cost of purchasing X spare parts.

Step-by-step explanation:

We can imagine that X represents the amount of an object, for example a car spare part,  which price is $74 per unit.

Then, Y would represent the cost of purchasing X units of that spare part.

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