Mathematics College

Write the following decimal number in its equivalent fraction form. Show all work for full credit.
0.8(repeating)

Answers

Answer 1
Let x=0.8888... 

x=0.8888 Start with the given equation 

10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right) 



 Now subtract the equation x=0.8888 from 10x=8.8888 to get 
10x-x=8.8888-0.8888 

9x=8 Combine like terms. Notice how the decimal portions cancel out. 

x=8/9 Divide both sides by 9 to isolate x 

So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)
 
Answer 2
Final answer:

To write the decimal number 0.8(repeating) as a fraction, use the concept of an infinite geometric series and convert it to an equation. Multiply both sides of the equation by 10 to eliminate the decimal point and subtract the original equation to eliminate the repeating part. Finally, divide by 9 to get the equivalent fraction form.

Explanation:

To write the decimal number 0.8(repeating) as a fraction, we can use the concept of an infinite geometric series. Let's assume the repeating decimal as x: x = 0.8(repeating). Now, multiply both sides of the equation by 10 to remove the decimal point: 10x = 8(repeating). Next, subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 8(repeating) - 0.8(repeating). Simplifying these expressions gives us: 9x = 7.2. Finally, divide both sides of the equation by 9: x = 7.2/9. Therefore, the equivalent fraction form of 0.8(repeating) is 7.2/9.

Related Questions

Jalla's hourly wage is $11.791. Round her salary to the nearest cent

Answers

If you mean $11 & 791 cents, then it would be $18 & 91 cents

A painting cost $225. If the sale price is $191.25, what is the percent discount

Answers

85% is the correct answer
85% is the right answer

Which of the following is a solution to 3tan^3x=tanx?
PLEASE HELP

Answers

Answer:
0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Explanation:
3 tan³x = tan x
3 tan³x - tan x = 0
tan x (3 tan²x - 1) = 0
either tan x = 0
This means that:
x = 0 , π or 2π ...........> I

or 3 tan²x - 1 = 0
This means that:
3 tan²x = 1
tan²x = [tex] \frac{1}{3} [/tex]
tan x = ± [tex] \frac{1}{ \sqrt{3}} [/tex]
at tan x = [tex] \frac{1}{ \sqrt{3}} [/tex]
x = π/6 or 7π/6 ...................> II
at tan x = - [tex] \frac{1}{ \sqrt{3}} [/tex]
x = 5π/6 or 11π/6 ..............> III

From I, II and III, the solutions for x would be:
0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Hope this helps :)

Answer:

its 150 degrees i think

Step-by-step explanation:

i could be wrong though but i'm like 80% sure im right

a student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 Meters to be 4968 cubic meters explain and correct the error

Answers

It is not correct. 

The student found the volume by multiplying the base area with the height. He forgot to divide it by 3.

Formula to find the volume of the pyramid = 1/3 base area x height

volume = 1/3 x 92 x 54 = 1656 square meters 

Answer:

1656

Step-by-step explanation:

1/3*92*54

Math question help please!

Answers

It seems you have to find the ranges of the functions given: y = 3sin(x - π), y = 1 - sin(x), y = 3+4cos(x-π), y = 2+cot(x).

1) y = 3sin(x-π).

The function sine returns a value between -1 and 1, including those limits, so the range interal is [-1,1]  no matter what the input be.

Multiplying the function by the factor 3, stretches the range by that factor.

So, the range of the given function is [-3,3].

2) y = 1 - sin(x)

Againt the range of sin(x) is [-1,1], then when you subtract that from 1, the limits of 1 - sin(x) are: 1 - (-1) = 2 and 1 - 1=0, and any other value wiill be in that range.

So, the answer is [0,2]

3) y = 3 + 4cos(x - π).

The range of the cosine function is also [-1,1], so the range of cos(x - π) is [-1,1].

By multiplying by 4 you stretch the range by that factor, so the new range is [-4,4].

By adding 3, the new borders are 3 - 4 = -1 and 3 + 4 = 7, so the range of the given function is: [-1, 7].

4) y = 2+cot(x)

The range of cot(x) is (-∞,∞), so adding 2 does not modify the range

So, the range for the given function is (-∞,∞).

Be sure to understand how this work. For both functions sine and cosine the range is [-1,1], when you mutiply by a constant factor you scale the range by that factor and when you add a constant you translate the range by that number of units.

an aviary places an order for 75 pounds of bird seeds. the order is filled by mixing different kinds of seeds from Bin A Bin B and Bin C Three times as much seed was added from Bin C as Bin A.Ifx respresents the amount of seed from Bin Cwhich expression represents the amount of bird seed mixed from Bin B

Answers

Where are the options?

75 - (x + 1/3x). Thst is the answer


Describe how to find the perimeter of an enlarged figure if you know the scale factor and the dimensions of the original figure.

Answers

Answer:

Perimeter of any figure is given by adding up all the side measurements.

So, when a figure is enlarged by a scale factor then we can multiply all the sides with the scale factor to get the new sides measurements and then we can find the perimeter.

Or simply we can find the perimeter of the original figure and then multiply by the scale factor.

In both the methods, the answer will be the same.

We can take an example:

Lets suppose the original figure to be a rectangle with length 5 cm and width 2 cm. The rectangle is enlarged by a scale factor of 6.

The original perimeter is = [tex]2(5+2)[/tex]

= [tex]2(7)=14[/tex] cm

1st method:

Multiply the length by 6 and width by 6 to get new dimensions.

Length becomes: [tex]5\times6=30[/tex]

Width becomes: [tex]2\times6=12[/tex]

Perimeter becomes: [tex]2(30+12)[/tex]

= [tex]2(42)=84[/tex] cm

2nd method:

Simply multiply 6 with the original perimeter.

[tex]14\times6=84[/tex] cm

We can see that in both methods, the perimeter is same.

Sample Response:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

what is the equivalent fraction of each one. 3/4 and 9/15 and24/40 and 5/7

Answers

3/4 = 6/8
9/15 = 3/5
24/40 = 3/ 5
5/7 = 10/14

how to solve 5/8h = 1,1/2=5

Answers

nothing futher can be done to it

Answer:

C

Step-by-step explanation:

Is this your question? I know that sometimes I accidentally put an equal sign instead of a plus.

What does the expression 12f + 24 represent?

Answers:

Answers

24 more than 12 times a number

Answer:

Option 1 : twenty four more than twelve times a number

Step-by-step explanation:

Given : 12f+24

To Find : What does the expression 12f+24 represents?

Solution:

The given expression : 12f+24

Option 1 : twenty four more than twelve times a number

The given expression 12f+24

This expression means 24 more than twelve times f

f is any number

So, we can say twenty four more than twelve times a number .

Thus Option 1 is correct

Option 2 :twenty four more than twelve plus a number

Let f be a number

So, (12+f)+24 is the obttained expression from option 2

Option 3 :twelve times the difference of number and twenty four.

Let f be a number

So, 12(24-f) is the obttained expression from option 3

Option 4 : twelve times the sum of a number plus twenty four

Let f be a number

So, 12(24+f) is the obttained expression from option 4

Thus option 1 represent the given expression 12f+24


Julia has to measure an object. She does not have a ruler. Tell what Julia could do to solve her problem.

Answers

pretty much and in short, make up your own measure.

so... say you can use a tie or something with length, and use that to measure whatever object you need it for.

for example, I can just grab a string, cut it, and measure something, and the measurement may just be that the object is my string 6 times, so I know the length of the object is 6 times the length of the string I cut.

it doesn't quite matter how long the string cut was, all that matters is that is relable or referenciable for reuse.  Later on I could always just get the string measure and convert it to metric, once I found a ruler  or imperial units.

but in the short run, it doesn't really matter the length of the string cut, all that matters is that is referenciable, the object will be 6 times my string cut, here, in France, in Pluto, in Andromeda, anywhere.

bear in mind that the measure units we use today, are only usable because they're referenciable, so if I tell you 15 inches of something, you know how much 15 inches is, so that's all that matters.

A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 slices of pizza?

Answers

--------------------------------------
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches

--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)

--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in² 

--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3 
3 slices = 766.32 in²

--------------------------------------
Answer: 766.32 in²
--------------------------------------

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Asked and answered elsewhere.
https://brainly.com/question/9281713

how many degrees are In a 1/ 4 turn

Answers

There is 90 degrees
90 degrees! (plz make me brainliest)

Solve. 3x2 − 6x = 24 A) x = 2, x = 4 B) x = 3, x = 4 C) x = −2, x = 4 D) x = −4, x = 3

Answers

 3x^2 − 6x = 24
3x^2 − 6x - 24 = 0
3(x^2 - 2x - 8) = 0
3(x - 4)(x + 2) = 0
x - 4 = 0; x = 4
x + 2 =0; x = -2

answer
C) x = −2, x = 4

Answer:

First Answer - C

Second Answer B

Step-by-step explanation:

An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. find the dimensions of such a box if the amount of material used in its construction is to be minimal. hint: let the dimensions of the box be x in. by y in. by z in. then, xyz = 108 and the amount of material used is given by

Answers

It works out the the optimum box dimensions are those that make the lateral area twice the base area. Of course, the base is a square in order to minimize the lateral area for a given base area.

That being the case, the height of the box is half the base edge length and the dimensions are
.. x = y = 6 in
.. z = 3 in

_____
If x and y are the base dimensions, the volume is
.. xyz = 108
and we want to minimize the area
.. area = xy +2(x+y)z

These equations are symmetrical in x and y, so the solution will require x=y. Making that substitution, we have
.. x^2*z = 108
.. x^2 +4xz = area = x^2 +4x(108/x^2)

That is, we want to minimize x^2 +432/x. A graphing calculator finds the minimum at x=y=6, (and z = 108/x^2 = 3).
Final answer:

Given that the volume of a rectangular box is a product of its length, breadth, and height, we define our problem using the given volume of 108 cubic inches and the formula for the surface area of an open box. To find the dimensions that will use minimal material requires the application of calculus and optimization techniques.

Explanation:

In this problem, we know that the volume of the open rectangular box is 108 cubic inches. The volume of a rectangular box can be calculated with the formula V = xyz where x, y, and z are the length, width, and height. If we let the dimensions of the box be x, y, and z inches respectively, it means that the volume V = 108 = x*y*z.

The amount of material used or the surface area S of an open box (a rectangular box without a top) is given by the formula S = xy + 2xz + 2yz. Here, our task is to minimize this surface area.

To minimize the surface area, we need to employ calculus, specifically the concept of optimal control. However to apply calculus, we need to express S in terms of one variable. We can get this by expressing y in terms of x and z using the volume formula. This leads to a complex optimization problem that involves calculus.

Learn more about Optimization here:

https://brainly.com/question/37742146

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In in a random survey, 8 out of every 13 students were taking Pre-Algebra, how many students out of the larger population of 8,000 students would be taking Pre-Algebra?

Answers

4923 I believe. It would be 8/13 to find the ratio and then you would multiply that by 8000

solve for x 3x−91>−87 OR 21x−17>25

Answers

Answer:

  x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

  3x -91 > -87

  3x > 4 . . . . . . . add 91

  x > 4/3 . . . . . . divide by 3

__

The second inequality has solution ...

  21x -17 > 25

  21x > 42 . . . . . . add 17

  x > 2 . . . . . . . . . divide by 21

__

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

  x > 4/3

Answer:

The solution is [tex]x>\frac{4}{3}[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities.

We want to solve for x the following compound inequality

[tex]3x-91>-87 \:{OR} \:{21x-17>25}[/tex]

Solving the first inequality for x, we get:

[tex]3x-91+91>-87+91\\\\3x>4\\\\x>\frac{4}{3}[/tex]

Solving the second inequality for x, we get:

[tex]21x-17+17>25+17\\\\21x>42\\\\x>2[/tex]

So our compound inequality can be expressed as the simple inequality:

[tex]x>\frac{4}{3}[/tex]

The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities.

Graphically, we get

How many MP3 players in the shipment would you predict to be damaged if 6 MP3s in the sample had been damaged

Answers

Given that there is a little information I would say all is damaged.
Substitute values into the proportion.

Substitute known values. Let x be the number of defective MP3 players in the population.

6 / 50 = x / 3500

50 x 70 = 3500, so multiply the numerator and denominator of the fraction 6/50 by 70.

(6x70) / (50x70) = x / 3500

420 / 3500 = x / 3500

420 = x

Based on the sample, we can predict that 420 MP3 players in the shipment would be defective.

what is the 5% of 300

Answers

15
300*5/100 =15
That's all
15.
the best way to do it is see the % as a decimal in my opinion, then plug it into a calculator. just move the decimal over to the left 2 times, then multiply the number you're taking the percent out of. So, in this case it would be:
300x.05
which is 15

Nancy builds a hollow wooden ramp for an obstacle course as part of an athletic event. The ramp and the net of the ramp are shown below. Units are in feet. The surface area of the ramp is square feet. Nancy wants to sell the wooden ramp at a price based on the surface area. If each square foot of wood of the ramp is sold for $3, the ramp would sell for $.

Answers

the answer would be $1,296

Nancy can sell the wooden ramp for $486 based on the surface area.

What is Area of Rectangle?

The area of Rectangle is length times of width.

The area of each rectangular face is length times width, so the top and bottom faces have an area of:

2 x (8 feet x 3 feet) = 48 square feet

The side faces also have an area of:

2 x (8 feet x 6 feet) = 96 square feet

The area of each triangular face is one-half the product of the base and the height, so the front and back faces have an area of:

2 x (0.5 x 3 feet x 6 feet) = 18 square feet

The total surface area of the ramp is the sum of the areas of all the faces:

48 + 96 + 18 = 162 square feet

If each square foot of wood of the ramp is sold for $3, then the ramp would sell for:

162 square feet x $3/square foot = $486

Therefore, Nancy can sell the wooden ramp for $486 based on the surface area.

To learn more on Area of rectangle click:

https://brainly.com/question/20693059

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check all that apply

Answers

Hi again!


You need to do the same steps I used for the other one.

x² < 81

Find the critical points of the inequality

x² = 81

Then take square root

x = [tex]\pm \sqrt{81} [/tex]

x = 9 or x = -9

Thus,


The answer is option B 9

Which equation could be used to find m∠J in △JKL? x = cos–1 x = cos–1 x = sin–1 x = sin–1

Answers

x= cos^-1(8.8/11) is the answer

A stadium has a total of 18000 seats. Of these 7500 are field seats and the rest are grandstand seats. Write an equation that can be used to find the number of standsteats s

Answers

18000-7500=x because whatever the number "x" is would be your answer trust me.

Find the value of each expression. Show your work.

18.) ₉P₃



Answers

We have to find the value of 9P3 which means the Permutations of 9 objects taken 3 at a time.

The formula of permutations is:

[tex]nPr = \frac{n!}{(n-r)!} [/tex]

In the given case n=9 and r=3. Using these values, we get:

[tex]9P3= \frac{9!}{(9-3)!} \\ \\ = \frac{9!}{6!} \\ \\ = \frac{9*8*7*6!}{6!} \\ \\ =9*8*7 \\ \\ =504 [/tex]

Thus 9P3 is equal to 504.

9! is expanded above using the following  factorial formula:

n! = n(n-1)(n-2)(n-3)....3.2.1

Answer:

The value of the expression is 504.

Step-by-step explanation:

We are given the expression [tex]9P3[/tex].

Now, [tex]9P3[/tex] represents the permutations of 9 objects which are taken 3 at a time.

Also, its value is given by,

[tex]9P3=\dfrac{9!}{(9-3)!}\\\\9P3=\dfrac{9!}{6!}[/tex],

where ! represents the factorial given by,

[tex]n!=n(n-1)(n-2)...3.2.1[/tex]

Thus, evaluating the expression, we get,

[tex]9P3=\dfrac{9!}{6!}\\\\9P3=\dfrac{9\times 8\times 7\times 6!}{6!}\\\\9P3=9\times 8\times 7\\\\9P3=504[/tex]

Thus, the value of the expression is 504.

What is one way to determine if a quadrilateral has parallel sides

Answers

One way of finding it is to find the slope of the sides and if the slopes are the same then the lines are parallel.

A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. The plant grows two centimeters each day. The model for plant growth "y" is given by: y = 2x + 5. What is the meaning of the y-intercept in this equation? A) the y-intercept is the starting date Eliminate B) the y-intercept is two times larger than five C) the y-intercept is the starting height of the plant D) the y-intercept is the largest height the plant can grow

Answers

C. The y intercept is the starting height of the plant. 

In the equation of a straight line, there is a slope (2) and a y intercept (5). The y intercept is where the line crosses the y axis. It is the starting point for the y values. The science class starts the experiment with the plant being 5 centimeters high and since this is the starting point/height, this is also the y intercept. 
Its C. The y-intercept is the starting height of the plant.

Prove or disprove: for all integers a, b, c, if a|bc, then a|b or a|c.

Answers

it is c good luck bro

A building is in the shape of a square pyramid. Each side of the base is 54 meters long and the height is 260 meters.

I know is 1/3 b*h 
is that correct... google failed me before

Answers

check the picture below.

Helene bought 6 bottles of juice. The bottles were on sale at 10 bottles for $12. Which explanation correctly tells how to calculate the cost of 6 bottles? A. Step 1 Multiply $12 by 10 to figure out the cost of 1 bottle. Step 2 Divide that cost by 6. B. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. C. Step 1 Multiply $12 by 10 to find out the cost of 1 bottle. Step 2 Multiply that cost by 6. D. Step 1 Divide $12 by 10 to find out the cost of 1 bottle. Step 2 Divide that cost by 6.

Answers

she wanted to buy 6 bottles.
the cost of 10 bottles was $12.
therefore we need to find the cost of one bottle and then find the cost for 6 bottles.                                           
if 10 bottles cost - $ 12                                                                                  
then 1 bottle costs - $ 12 / 10 bottles
                                         
here we divided 12 by 10 , cost of 1 bottle is 12/10 to find the cost of 6 bottles we have to multiply by 6 .12 / 10 x 6
                                                                                 
correct answer is therefore B. divide 12 by 10 and then mulitply by 6
Answer:

Option: B is the correct answer.

B.   Step 1:  Divide $12 by 10 to find out the cost of 1 bottle.

Step 2 :  Multiply that cost by 6.

Step-by-step explanation:

The cost of 10 bottles is: $ 12.

This means that the cost of 1 bottle is:

$ (12/10)=$ 1.2

( Since the cost of  1 bottle will be less and hence the total cost must be divided by the number of items in order to obtain the cost of 1 item)

and similarly in order to find the cost of 6 items we need to multiply the cost of 1 item by 6.

Hence, cost of 6 bottles of juice is: $ (1.2×6)=$ 7.2

Hence, the correct answer is:

B.   Step 1:   Divide $12 by 10 to find out the cost of 1 bottle.

Step 2:   Multiply that cost by 6.

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The phone at Marys house has been ringing for three minutes nonstop, but she ignores it. She has watched a news item on the TV that has made her freeze with panic. Three days before, four men entered a jewelry store carrying mallets and guns and ordered the people inside to get on the ground. Among the people in the store was Sergeant Bruce Prothero, a police officer and father of five who had a second job working as a security guard at the mall. The men grabbed almost $500,000 worth of jewelry and sprinted out; Sergeant Prothero dashed after them. In the mall parking lot, the men shot him three times from the car. Sergeant Prothero died as the men sped away. Which of the following statements is not a cause or result of the soviet invasion of Czechoslovakia? A-Dubcek was expelled from the KSC and demotedB-The reforms of the Prague spring occurred in 1968C-freedom of speech remained after the invasionD-the manifesto called the two thousands words was published Economic complications in the United States after World War I included A.low employment rates because of returning soldiers B.low family incomes because women could no longer work C.overproduction of consumer goods D.underproduction of consumer goods The population of current statistics students has ages with mean mu and standard deviation sigma. samples of statistics students are randomly selected so that there are exactly 48 students in each sample. for each sample, the mean age is computed. what does the central limit theorem tell us about the distribution of those mean ages? The Treaty of _____ provided some representation in New Zealand government for the Maori. The no child left behind act of 2001 resulted in public schools: Simplify the imaginary number square root of -12 The area of a square floor on a scale drawing is 100 cm and the scale of the drawing is one CM : 2 feet. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area? The sum of three consecutive odd integers is 327. find the integers The temperature of a substance during an experiment can be modeled by the function f(x)=7.5cos(x30)+31.4 , where f(x) is the temperature c and x is the number of minutes into the experiment. what is the greatest temperature the substance reached during the experiment? The length of the legs in a right triangle are 14 in and 22 in. Find the length of the hypotenuse. Round your answer to the tenths place. 2. How did Germany's alliance with Austria affect the reaction to the assassination of Francis Ferdinand?A. Germany gave Austria a 'blank check', or permission to send a harsh ultimatum to Serbia. (my answer)B. When Serbia declared war on Austria, it also declared war on Germany. C. Germany sent a list of demands to Serbia demanding the end of all anti-Austrian agitation.D. Austria negotiated with Serbia to find and punish any Serbian official involved in the murder plot. Check my answer please :) Item 5Find the percent of the number.175% of 54 is. In the diagram the figures are similar. What is xA. 2.6ftB. 3.4ftC. 0.4ftD. 2.3ft How do I add fractions with different denominations? Is the inequality always, sometimes or never true?9(x+2) > 9(x-3)answer is 2>3 and i said it's never true, right?2. 6x-13 < 6(x-2)answer is 6x-13 < 6x-12 my answer is sometimes 3. -6(2x-10) + 12x less than or equal to 180. im stuck., describe the physical attributes of this sculpture what is purpose what did symbolize Which do you do when you use the "say back" strategy during revision? What is the key function of a product owner???A. Accomplishing the work in sprints B removing impediment in the scrum process C satisfying the stakeholders D conducting team meetings What is the purpose of the strange situation as an experimental procedure?