Hola me ayudan con esta pregunta TRANSFORMAR LOS SIGUIENTES DECIMALES EN FRACCIÓN, 1.- 8,485 2.- 125,65 3.- 54,987987... 4.- 266,8484... 5.- 4,7899999... 6.- 924,741111... gracias
Answers
Answer:
Ve la respuesta abajo
Step-by-step explanation:
Para hacer la conversión de decimales a fracción, es necesario hacer dos cosas:
1. Identificar el tipo de decimal (finitos, infinito periódico, infinito semi periódico).
2. Aplicar la expresión o formula correspondiente, dependiendo del tipo de decimal.
Un decimal finito es aquel que solo tiene un número determinado de decimales y no se extiende al infinito.
Un decimal infinito periódico, es aquel cuya cifra decimal se repite constantemente hasta el infinito, esto puede ser un decimal, dos, etc.
Un decimal semi infinito periódico es aquel donde una parte de los decimales se mantiene sin repetir, y la otra parte se repite hasta el infinito.
Una vez que hayas identificado el tipo de decimal, solo debes aplicar alguna de los 3 casos siguientes:
1. PAra un decimal finito se convierte la cifra decimal en un numero entero multiplicando por 10, 100, 1000 depende del número de decimales que tenga, y se divide entre 10, 100, 1000.... segun el número de decimales y se simplifica la fracción si es posible.
2. Para un infinito periódico se anota el número y se le resta él o los números que están antes del período. Se coloca como denominador un 9 por cada número que está en el período (si hay un número bajo la rayita se coloca un 9, si hay dos números bajo el período se coloca 99, etc.). Si se puede simplificar, se simplifica.
3. El numerador de la fracción se obtiene, restando al número la parte entera y el anteperíodo, o sea, todo lo que está antes de la “rayita”. El denominador de la fracción se obtiene colocando tantos 9 como cifras tenga el período y tantos 0 como cifras tenga el anteperíodo. Como siempre, el resultado se expresa como fracción irreductible (no se puede simplificar más) o como número mixto.
Dicho esta parte teórica, pasemos a la práctica y convirtamos los decimales a fracción:
1. 8,485: decimal finito, con 3 decimales, lo anotamos sin la coma, y entonces colocas como denominador el 1000, porque fueron 3 decimales, 3 ceros ----------> 8485/1000 = 1697/200 (se simplificó por 5)
2. 125,65: decimal finito -----> 12565/100 = 2513/20
3. 54,987987: infinito periódico, aplicamos los pasos de arriba:
54,987987 = 54987 - 54 / 999 = 54933 / 999
4. 266.8484..: infinito periódico
266,8484.... = 26684 - 266 / 99 = 26418 / 99
5. 4,78999.: Infinito semiperiódico
4,78999 = 4789 - 478 / 900 = 4311 / 900
6. 942,74111: infinito semiperiódico
942,74111 = 942741 - 94274 / 900 = 848467 / 900
Espero te sirva
Related Questions
find the future value of $750 deposited each month at 3.25% for 15 years
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Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
what is the y intercept for this graph?
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Answer:
answer is 0
Step-by-step explanation:
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 an hour. Write an equation in slope intercept form for the situation.
For how long could you rent the boat if the cost is $80?
pls answer
Answers
Answer:
3 hours
Step-by-step explanation:
y = mx + b
for each hour you are charged 15 dollars. for every 1 hour, you are charged $15.
y = 15x
you must also add the base fee of 35
y = 15x + 35
if you know that y = 80,
80 = 15x + 35
solve for x
x = 3
Answer: 35 + 15=50
Step-by-step explanation: this is just for part 1
Write and equation a solve!
Marry had $115 to spend on clothes. She found a pair of shoes fo $55 and then pants for $15 each. how many pairs of pants can she buy?
Answers
2. You’re left with $60
3. Each pants are $15 each, so you do $60 divided by $15.
This should equal 4 pairs of pants
Hope this helps :D
A farmer wants to increase the weight of her lambs and is considering supplementing their diets with niacin, which is advertised as an effective weight gain supplement. To add niacin to their diets, the farmer would need to purchase a supply, which is fairly expensive. But if it does actually increase the weights of her lambs, it will lead to higher sales for her farm over time. So she conducts an experiment where she compares the weight gains of a sample of lambs on regular feed to a sample that receives an additional niacin supplement. a. Write an appropriate null and alternative hypothesis for her experiment. (1pt) b. In the famer’s perspective, explain the consequence of a Type-I error. (1pt) c. In the famer’s perspective, explain the consequence of a Type-II error. (1pt) d. Suppose the farmer analyzed her experimental data and got a p-value of 0.15. What would be the appropriate conclusion? (2pt) e. List a potential confounding variable for this study
Answers
Answer:
H0: ρ= 0 against Ha : ρ≠0
Step-by-step explanation:
The null hypothesis would be the weight gains of a sample of lambs on regular feed is equal to the weight gains of the sample that receives an additional niacin supplement against the claim that the weight gains are not equal .
H0: ρ= 0 against Ha : ρ≠0
Type 1 Error would be when the H0 is true and there's no difference but H0is rejected or Ha is accepted that there is difference in the weight gains.
Type 2 Error would be when the Ha is true and there is difference but Ha is rejected or H0 is accepted that there's no difference in the weight gains.
The appropriate conclusion would be Ha is accepted and H0 is rejected fail to reject.
A confounding variable is the one which effects the results . It is the biased variable which should be identified and ignored.
For example in this experiment the independent variable would be the amount of the supplement the dependent would the weight gain but the gender of the sheep is the confounding variable. It is not directly related to amount of supplement .
1) gender of sheep
2) the breed of sheep
3) the number of sheep
4) the height of sheep
A ball rolling 600 feet each second would roll how many feet per
minute?
a) 36,000 feet per minute
b) 10 feet per minute
с) 12,000 feet per minute
d) 30,000 feet per minute
Answers
Explanation: 600 times 60
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
Answers
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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Can anyone please help me with number 2 ❤️
Answers
Answer:
\(A = 101.5825591635\)°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
\(cos(A)=(b^2 + c^2 - a^2) / (2bc)\)
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
\(cos(A)=(27^2 +19^2-36^2)/(2*27*19)\)
\(cos(A)=-0.20077972709\)
\(A = 101.5825591635\)°
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140°
mz1 = _°
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90
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Answers
Answer:
0.0
Step-by-step explanation:
70degress i think hsodisnshdhddhdtdhdhuehejshdydjdjbddbdjksisj8s
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Answers
b= 110°
c= 110°
A point has ____. A. 3 measurements B. 1 measurement C. 2 measurements D. measurements
Answers
A point has 1 measurement. In geometry, a factor is a simple element that is used to define other shapes and figures. Therefore option 1 is correct.
It's far a location in space that has no length or dimensions, and consequently simplest calls for one dimension to be fully described. This size may be in any path, as a point has no defined orientation.
Points are typically represented on a graph or diagram as a dot, and are often categorized with a letter or image for easy reference. at the same time as a point may appear like a easy idea, it's far essential to many different geometric ideas and serves as a building block for shapes, lines, and angles.
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(Just need the second answer)
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Using the line plot, we can see that 13 persons talk less than 60 minutes on their phonse.
How many people talk less than 60 minutes on their phone?Here we have a line plot, each one of the points represents a person that talks a given amount of time in the phone.
Here we just need to count the number of points that are before the number 60 in the horizontal axis.
Then we can see:
10 ---> 2 points.
20 ---> 4 points.
40 ---> 4 points.
50 ---> 3 points
Adding that we have a total of 13 points, so there are 13 persons that talk less than 60 minutes per day.
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Write an equation for a line perpendicular to y=2x+2 and passing through the point (6,-2)y =
Answers
The equation of the line is given as,
\(y=2x+2\)According to the slope-intercept form, the equation of a line with slope 'm' and y-intercept 'c', is given by,
\(y=mx+c\)Comparing with the given equation, the slope of the given line is,
\(m=2\)Theorem: The product of two slopes of two perpendicular lines is -1 always.
Let the slope of the perpendicular line be (m'), and 'b' be the y-intercept. Then, it follows that,
\(\begin{gathered} m^{\prime}\cdot m=-1 \\ m^{\prime}\cdot(2)=-1 \\ m^{\prime}=\frac{-1}{2} \end{gathered}\)The equation of this perpendicular line is given by,
\(\begin{gathered} y=m^{\prime}x+b^{\prime} \\ y=(\frac{-1}{2})x+b^{\prime} \end{gathered}\)Given that the perpendicular lines pass through the point (6,-2), so it must also satisfy its equation,
\(\begin{gathered} -2=(\frac{-1}{2})(6)+b^{\prime} \\ -2=-3+b^{\prime} \\ b^{\prime}=-2+3 \\ b^{\prime}=1 \end{gathered}\)Substitute this value back in the equation of the perpendicular line,
\(y=\frac{-1}{2}x+1\)Thus, the equation of a line perpendicular to the given line and passing through the given point is obtained as,
\(y=\frac{-1}{2}x+1\)a) write set c = {north america, south america, europe, asia, australia, africa, antarctica} in set-builder notation. b) write, in words, how you would read set c in set-builder notation.
Answers
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
What is set ?
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.
a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:
c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}
b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
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The function f(x)=1/6(2/5)^x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answers
Answer:
the ordered pair (0, 1/6)
Step-by-step explanation:
To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:
g(x) = f(-x) = 1/6(2/5)^(-x)
To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:
g(0) = 1/6(2/5)^(-0) = 1/6
Therefore, the ordered pair (0, 1/6) is on the graph of g(x).
2x+7=7 for y ????????????????????????????????
Answers
Answer: y=7-2x
Step-by-step explanation:
Subtract 2x from both sides.
What is the area of a sector of a circle with a radius of 6, and an arc measure of 160 degrees?
A. 8π/3
B. 16π/3
C. 16 π
Answers
Answer:
16 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = pi (6)^2
A = 36 pi
Then find the fraction of the circle the sector is
A circle is 360 degrees
160/360 = 4/9
Multiply the area by the fraction
4/9 * 36 pi
16 pi
Answer:
C: 16π
Step-by-step explanation:
Area of a sector =
\( = \frac{angle }{360} \times \pi \: r {}^{2} \)
you are ordering shirts for a club at your school. the function f(x)=8x+12 represents the cost of ordered x shirts how much would it cost to buy 32 shirts
Answers
The cost of ordering shirts for a club is 268 units.
Define Function.
A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.
This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).
The statement that f is a function from X to Y using the function notation f: X→Y
The function that represents the cost of the shirts(x) is f(x) = 8x+12
Now, for x = 32
f(x) = 8x+12
f(32) = 8(32) + 12
= 256 +12
f(32) = 268 units
.
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who wants to help i really dont wanna do this question
Answers
Answer:
71
Step-by-step explanation:
(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)
(50) + (21) = 71
- A board was 24 3/8 inches long. A worker cut it into
pieces that were 4 7/8 inches long. The worker cut the
board into how many pieces?
Answers
To make everything easier, it's best to turn the mixed numbers into improper fractions.
24 * 8 = 192 + 3/8 = 195/8
4 * 8 = 32 + 7/8 = 39/8
The question asks how many 39/8-inch long pieces the worker cut from a 195/8-inch long board, meaning we have to divide.
195 / 39 = 5
The worker cut the board into 5 pieces.
Compare the rates to find which is greater
15 laps in 12 seconds or 12 laps in 10 seconds
Answers
Answer: 15 laps in 12 seconds
Step-by-step explanation:
15 divided by 12 is 5/4 which is also 1.25
12 divided by 10 is 6/5 which is also 1.2
1.25 is greater then 1.2
Find the value of x
3x = 9²
Answers
\(\huge\boxed{Hi\:there!}\)
\(\huge\sf{3x=9^2}\)
\(\huge\sf{3x=81}\)
\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)
\(\huge\sf{x=27}\)
\(\huge\boxed{Hence,\:x=27.}\)
\(\huge\sf\underline{Hope\:it\:helps}\)
\(\boxed{CheerfulGirlie\:here\:to\:help}\)
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
7. Elise sells her framed drawings
She has 4 prints of one drawing
and 6 prints of another drawing. If
she has 3 frames, how many more
frames does she need?
Answers
The length, in centimeters, of a
rectangle is represented by an
expression, as shown in the diagram
below.
2 + 745
Based on the diagram, which of the
following is closest to the length, in
centimeters, of the rectangle?
Answers
Answer:
88
Step-by-step explanation:
3. For each system of equations indicate whether or not the equation has no real solution, one real solution, or infinite solutions.
One Infinite
solution solution solutions
A.3x + (12x + 9) – x = 11x + 9
B.6x + (3x + 9) – x = 8x + 9
c. 10x + 7 – 3x = 7x + 17
D. 4x – 6 + x = 5x – 2
Answers
Indicating whether or not the equation has no real solution, one real solution, or infinite solutions.
A. 3x + (12x + 9) – x = 11x + 9 has one real solution
B. 6x + (3x + 9) – x = 8x + 9 has infinite solutions.
C. 10x + 7 – 3x = 7x + 17 there are no real solutions to this equation.
D. 4x – 6 + x = 5x – 2 there are no real solutions to this equation.
Indicating whether or not the equation has no real solution?A. 3x + (12x + 9) – x = 11x + 9
Simplify
14x + 9 = 11x + 9
x =0
This equation has one real solution
B. 6x + (3x + 9) - x = 8x + 9
Simplify
8x + 9 = 8x + 9
This equation has infinite solutions.
C.10x + 7 – 3x = 7x + 17
Simplify
7x + 7 = 7x + 17
0 =10
There are no real solutions to this equation.
D. 4x – 6 + x = 5x – 2
Simplify
5x – 6 = 5x – 2
-6 = -2. There are no real solutions to this equation.
Therefore 3x + (12x + 9) – x = 11x + 9 has one real solution.
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the width of a rectangle is 2/3 length, The perimeter of the rectangle is 100 ft. What is the width, in feet, of the rectangle.
Answers
Answer:
The width would be 20 and the length would be 30
Step-by-step explanation:
8. Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept
form, simplifying all fractions.
6x + 15y = -15
Answers
Answer:
-2/5-1
Step-by-step explanation:
6x+15y=(-15)
subtract both sides by (-6x)
now the equations becomes: 15y=(-6x)-15
divide both sides by 15, since -6 cannot evenly we just leave it as a fraction
Equation becomes y= -6/15x-1
Then simplify it down to y= -2/5x-1
What sum is represented by the arrow diagram?
Answers
Answer:
Would it be 1?
Step-by-step explanation:
I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..
6 ÷(-1/2) help me!! With a strategy 2 pls!!!!
Answers
The result of the given quotient as required to be determined in the task content is; -12.
What is the result of the quotient?As evident in the task content; the given quotient is;
6 ÷ (-1 / 2)
= 6 × (2 / -1)
= (6 × 2) / -1
= 12 / -1
= -12.
Ultimately, the result of the given quotient is; -12.
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30. In the figure below, rectangle ABCD shares CD with ACDE,
diagonal BD of the rectangle extends in a straight line
beyond D to E to create DE, and the measure of CDE is
155°.
What is the measure of ZCBD?
F. 25
G.55
H.65
J.90
K.155
Answers
The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.
To find the measure of angle ZCBD, we need to examine the given information.
From the figure, we know that angle CDE is 155°.
Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.
In a rectangle, the sum of the interior angles at a vertex is always 90°.
Therefore, angle CBD is 90°.
Hence, the measure of angle ZCBD is 90°.
Therefore, the correct option is J. 90.
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