Answers
Answer:
C
Step-by-step explanation:
To do this, let's let the decimal equal n. Thus:
[tex]2.\bar1=n[/tex]
There is only one digit repeating, so let's multiply both sides of the equation by 10:
[tex]21.\bar1=10n[/tex]
Now, subtract n from both sides:
[tex]21.\bar1-n=10n-n[/tex]
On the right, it becomes 9n. However, the left, however, expand, the decimal. In other words:
[tex]21.1111...-2.1111...=9n[/tex]
All of the repeating 1s will cancel out. Thus:
[tex]21-2=9n[/tex]
Subtract:
[tex]19=9n[/tex]
Divide both sides by 9:
[tex]n=\frac{19}{9}[/tex]
And since we set the decimal equal to n originally...
[tex]2.\bar1=\frac{19}{9}[/tex]
And we're done!
Notes:
This is the algebraic way to write a repeating decimal into a fraction. You can, of course, always just use a calculator and guess and check.
It's A. 21/10
What I did to get this. Is i wrote down 2.1 as a fraction: 2.1/1 then multiplied 10 to both the numerator and the denominator. (2.1 x 10)/(1 x 10)=21/10.
I hope this helps. I'm not sure if the "repeating" matters that much to the point of a different answer...
Related Questions
what is 3.825 as a percent with a guide?
Answers
Answer:
382.5%
Step-by-step explanation: Here you can find three point eight two five as a percent, along with the calculator and the 3.825 to % formula.
can i get a thank you
PLSSSSSSS HELP WTH THESE THREE
Answers
Answer:
1. 2*10^19
2. 2.88*10^37
3. 1000
Step-by-step explanation:
describe a real world situation in which opposites quantites combine to make zero
Answers
Answer:
For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged; and understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative.
Answer:
Step-by-step explanation:
For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged; and understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative.
This is the complete list of proper factors of a certain number. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294. What is the number? (Additional questions) List each of the factor pairs for the number. How is the list of factors pairs related to the rectangles that can be made for the factor pairs?
Answers
Answer:
588
Step-by-step explanation:
588 x 1
294 x 2
196 x 3
147 x 4
98x6
84 x 7
49 x 12
42 x 14
28 x 21
Number of factor pairs = number of rectangles
Answer: 588
Step-by-step explanation:
It just is
Roberto and Sandy are playing a rounding game. Roberto says the number 634. Sandy rounds Roberto's number to the nearest hundred. What number does Sandy say?
Answers
Reason: If you are rounding up to the nearest hundred then anything 650 or higher, it would be 700 but anything 649 and lower, it would be 600.
Find the GCF of 35, 60, and 25
Answers
Answer:
5 is the GCF
Step-by-step explanation:
The factors of 35 are: 1,5,7,35
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 25 are: 1, 5, 25
The highest or greatest factors that all of them have in common is 5.
What is 4.2 x 10 to the power of negative 5 in standard notation
Answers
Process:
4.2
.42
.000042.
Answer: the answer is 0.0000043
Step-by-step explanation:
4.2*10=42 and divide it by 5 10 times
what is the perimeter, in feet (ft), of a right triangle which has an area of 12 ft^2 and one leg that has a length of 4 ft?
Answers
Answer:
P = (10 + 2√13) ft ≈ 17.21 ftStep-by-step explanation:
A = 12 ft² - area of triangle
a = 4 ft, b - legs of right triangle
c - hypotenuse (third side of triangle)
A = ¹/₂ ab
12 = ¹/₂•4•b
12 = 2b
b = 6 ft
from Pythagorean theorem:
a² + b² = c²
4² + 6² = c²
c² = 16 + 36
c = √52 = 2√13 ft
The perimeter: P = a + b + c
P = 4 + 6 + 2√13 = (10 + 2√13) ft ≈ 10 + 7.21 = 17.21 ft
What's 2 divided by 9/10? I would really like to know. :)
Answers
Answer:
[tex]\frac{20}{9}[/tex] or 2 [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1. Set up the problem : 2 ÷ [tex]\frac{9}{10}[/tex]
2. Since 2 is a whole number we can give it a denominator of 1, transforming the problem to: [tex]\frac{2}{1}[/tex] ÷ [tex]\frac{9}{10}[/tex]
3. Change the division sign into a multiplication sign.
[tex]\frac{2}{1}[/tex] × [tex]\frac{9}{10}[/tex]
4. Find the reciprocal by swapping the numerator and denominator on the second fraction
[tex]\frac{2}{1}[/tex] × [tex]\frac{10}{9}[/tex]
5. Multiply fractions
[tex]\frac{2}{1}[/tex] × [tex]\frac{10}{9}[/tex] = [tex]\frac{20}{9}[/tex] or 2 [tex]\frac{2}{9}[/tex]
Does anyone know what the laws of exponents are?
Answers
When raising a power multiply the exponents together
If a base is the same add the exponents
If an exponent is negative put the integer under 1 for division
what is 5-0 plz help
Answers
Answer:
its 0
Step-by-step explanation:
5-0=0 or 5x0=0
0 equals nothing so you’re taking nothing away from 5.
So the answer would be 5.
What is the value of x/3y, when x = 18 and y = 3? 3/18 <- this means three over 18 if you don't know 2 3 6
Answers
Answer:
2
Step-by-step explanation:
So the first step is to replace the variables with the numbers.
So it then becomes 18/3(3)
18/9
the answer is 2
HOPE IT HELPED
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division. There are four people and the total amount is $42.78
Answers
Answer:
I think The Answer Is $10.69
Step-by-step explanation:
Which model shows the problem 1 ÷ 1 6 ?
Answers
Answer:
There's a easier way to do this just like this you keep 1/6 then you change the division into multiplication and then seance you put the five which a 1 on the bottom like this 5/1 you flip it and it's 1/5 this strategy is called keep change flip so you keep 1/6 change division into multiplication and you flip 5/1 into 1/5 so it will end up like this 1/6x1/5=1/30
so it should be 16
Step-by-step explanation:
Hope this helps!
1 divided by 16 is 16
Please help!! QUICK!!!!
Answers
Answer:
4.5 or 4 1/2 bracelets
Step-by-step explanation:
you can make 4 with 3 inches of ribbon remaining
you can make 4.5 bracelets because you need 6 inches per bracelet and you have 3 inches remaining. that makes it half of a bracelet.
For each graph, state whether or not it represents a linear relationship. If it does represent a linear relationship, state whether or not it also represents a proportional relationship. *
Answers
Answer:
Linear, non linear, non linear, linear
Step-by-step explanation:
The linear ones go up and to the right, the non linear go down, to the left, or curved.
linear, non-linear, linear, linear. linear
linear graphs are always straight lines no matter what way it goes. C, is a decreasing linear graph.
Alex pays his bills online through his bank. He recently paid $156 for his electric bill and $61 for his internet bill. By how much did Alex's bank account change by paying the bills?
Answers
Answer:
hi paid electric bill$156
he paid for internet bill$61
$156+$61
=$217
Coordinate Plane Dilation
Answers
Answer:
Ether C or D.
Step-by-step explanation:
C and D have both decimals over the normal scale of the number line, and go over, but My money is on C!
Hope this helped! Have a tremendous day! ;D
One angle of an isosceles triangle is known to be 68°. What would be one of the other angles?
Answers
Answer:
52 degrees
Step-by-step explanation:
Iscosceles trangle adds up to 180 degrees.
two sides are the same.
180-68= 112
112 divided by 2 = 52
the three sides are 52, 52, 68
The measure of one of the other angles would be x = 44 degree.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
Isosceles triangles have two angles that are equal.
We are given that One angle of an isosceles triangle is known to be 68°.
Since the two equal angles are 68
We have the angles 68, 68, and an unknown angle x
Now add to 180
68+68+x = 180
136+x=180
x =180-136
x =44
Learn more about triangles;
https://brainly.com/question/12413243
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I'm too lazy to do this so please do em for meh ty! asap
Answers
hope this helps!
An airplane on autopilot took 7 hours to travel 5,005 kilometers. What is the unit rate for kilometers per hour?
and explain your answer plz
Answers
Answer:
Step-by-step explanation:
rate=distance/time
5005/7
=715
The answer is 715. To get the answer, you just divide 5005 by 7 since the rate of speed is steady.
A football team lost 19 yards on each of their first three plays. What was their overall change in yardage?
Answers
Answer:
Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).
Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:
20
+
5
=
25
So the second play they get sacked deep and lose 6 yards. So we subtract 6:
25
−
6
=
19
So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:
19
−
20
=
−
1
and this makes sense because we know we advanced 5 and fell back 6:
+
5
−
6
=
−
1
Step-by-step explanation:
Plz Mark me as brainliest
What does it mean to combine like terms?
Answers
Answer:
Combining like terms mean to solve those terms whose have same bases
Answer:
like terms would be like 15 and 24 or 5x and 3x.
as long as they don't have a different variable or on a different side of the = sign they are considered like terms.
3 and 5x are not like terms
5x and 5y are not like terms
ya get what im sayin
there are 2 circles and 4 triangles. What is the simplest ratio of circles to triangles?
Answers
Answer:
1:2
Step-by-step explanation:
it is this answer because you have 2 circles for 4 triangles, you can simplify that by dividing each number by 2 and you get 1 and 2
You know the gist branliest if correct asap
Answers
Answer:
The answer is image b and x
Step-by-step explanation:
It is correct because when i did it, it said yas
lolol
can i get brainiest
which shows acute angle
Answers
Answer:
it's angle FBI because it is less than 90 degree
Answer:
Triangle FBI
Step-by-step explanation:
An acute angle is an angle less than 90 degrees. Triangle FBI is the only one less than 90 degrees.
There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?
Answers
The simplest ratio of circles to square is 2:3.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
There are 6 circles and 9 squares.
The simplest ratio;
circles : squares,
Substitute the value of circles and squares;
circles : squares = 6:9
Simplifying,
circles : squares = 2:3
Therefore, the simplest ratio of circles to square is 2:3.
To learn more about the ratio;
https://brainly.com/question/13419413
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5y-3/5=4/5. Solve for y.
Answers
5y=7/5
Divide each term by 5 and simplify.
y=7/25 [0.29 in decimal form]
How is finding 9.12 - 4.8 similar to finding $9.12 - $4.80? How is it different?
Answers
Answer:
4.8 is the exactly the same as 4.80
Step-by-step explanation:
so if you subtract 9.12 by 4.8 its the same as 9.12 - 4.80
the only thing different is there taking of the zero which does't mean anything
help also need work shown lol
Answers
Step-by-step explanation:
Hope it will be helpful for you