A fraction simplest form of the given number 0.51 (with 1 as repeating ) is equal to 4.6/9.
A number whose decimal representation ultimately becomes periodic (i.e., the same sequence of digits repeats without end) is known as a repeating decimal, sometimes known as a recurring decimal.
The given number is:
0.51111111....
To express 0.51111111111... as a fraction in simplest form,
Follow these steps:
Assume x = 0.51111111111...
To eliminate the repeating decimal,
Multiply both sides of the equation by 10,
Which will shift the decimal point one place to the right.
Therefore, 10x = 5.111111111...
Subtract the original equation (x) from the modified equation (10x).
This will eliminate the repeating part, leaving us with a whole number.
So, subtracting the two equations gives us:
10x - x = 5.111111111... - 0.51111111111...
9x = 4.6
Divide both sides of the equation by 9. So,
x = 4.6/9
Hence,
The required fraction is 4.6/9.
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Extend Your Skills
Perimeter = 30 in.
Area = ?
Answer:
56
Step-by-step explanation:
the length of the missing side is 7
so 7 x 8 = 56
To find the missing side:
You must add 8 + 8 = 16
Subtract 16 from the total perimeter = 14.
Divide 14 by 2 = 7 you divide by two since there are two missing lengths and when you add them they have to equal to 14.
What conclusion can be drawn about the axis of symmetry of any quadratic function for which b=0? The axis of symmetry is x=___
Answer:
x = 0
Step-by-step explanation:
6). Three coins will be tossed in the air at the same time. What is the probability that all three coins will land showing heads?
Michael spins the spinner below twice.
What is the probability the spinner will land on the number 4 for both spins?
Answer:
1/8 for the coins
I can't the spinner so i cant answer that
Step-by-step explanation:
1/2x1/2x1/2
Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.
One sector has an area of 325 square millimeters and an arc measure of 72°.
__ mm2
If One sector has an area of 325 square millimeters and an arc measure of 72° then the area of circle is 1625 square mm.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To find the area of circle we have to know the radius of the circle.
We know Area of sector=(θ/360º) × πr²
325=72/360×3.14r²
325=0.2×3.14r²
325=0.628r²
Divide both sides by 0.628
r²=517.51
Area of circle= πr²
=3.14×517.51
=1625 square mm.
Hence, if One sector has an area of 325 square millimeters and an arc measure of 72° then the area of circle is 1625 square mm.
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Round to the nearest ten thousand 738,424
Answer:
740,000
Step-by-step explanation:
Because 38,000 rounds up to 40,000
Please help and explain why
Answer:
it is A.
Step-by-step explanation:
24 is 44% of what number?
yall i have exams tomorrow and i have no clue how to do percentages TwT helppp
Answer:
24 is 44% of 54.55
Step-by-step explanation:
24 ÷ 44% = y ÷ 100%
Solve for y - To do so, we will use cross multiplication.
44y = 24 × 100
44y = 2400
y = 2400 ÷ 100
y = 54.55
Che is buying a computer that costs $2 856. He pays with $100 bills. How many notes will he give the salesperson?
Answer:
28 notes (or bills)
Step-by-step explanation:
28.56 to be exact
helpppppppppppppppppp
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
13 of 20 players from the boys soccer team have decided to tryout for lacrosse, what percent of the soccer team is playing lacrosse?
Answer:
65%
Step-by-step explanation:
The surface area of all faces on a 3-D figure
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula,
This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked
to identify the TV channel on which they preferred to watch the evening news.
WKOD
13%
WCLM
24%
WWCN
41%
WANR
22%
10. Write a ratio to express the number of people who preferred WANR to those who preferred WCLM.
A. 23:100
B. 3:50
C. 11:12
D. 46:100
Answer:
C) 11:12
Step-by-step explanation:
22:24 which reduced to 11:12
What two shapes made up the figure? cone and prism
Answer:
A cone is a shape with a circular base and a single face that ends in a point.
A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon. Other faces of a prism are parallelograms or rectangles.
Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
6x² + 6x² – 2x²
O 6x2 – 2x – 2: second-degree
O 6x2 + 6x4 – 2x2, not a polynomial
O 6x4 Nx: fourth-degree binomial
6x4 + 4x2, fourth-degree binomial
Answer:
[tex]10x^2[/tex]
Second degree polynomial
Step-by-step explanation:
Given
[tex]6x^2 + 6x^2 -2x^2[/tex]
Solving (a): In standard form
[tex]6x^2 + 6x^2 -2x^2[/tex]
Solve
[tex]6x^2 + 6x^2 -2x^2 = 10x^2[/tex]
Hence, the standard form is: [tex]10x^2[/tex]
Solving (b): The name
The above has a single term and the power of x is 2,
Hence, it is a second degree polynomial
None of the options is correct
x + 10 > 13 Solve the inequality
Answer: x>3
Step-by-step explanation: Hope this help :D
Answer:
x > 3
Step-by-step explanation:
13 - 10 = 3
since x and 10 is supposed to be bigger than 13, it should be more than 3.
SM1 HELP ASAP ILL GIVE BRAINLIEST
Answer:
a.
Step-by-step explanation:
you add 2 & 3 ... you get 4. then you add 2 & 4 ... you get 6.
Jessica has a coupon for 20% off the original price of
her purchase.
When she gets to the checkout counter, the employee
notifies her that they are going to take an additional
15% off the already reduced price.
What is the final price of a pair of sneakers that
originally cost $140?
Answer: $95.20
Step-by-step explanation:
140 * .2 = 28
140 - 28 = 112
112 * .15 = 16.8
112 - 16.8 = 95.2
Answer:
95.2
Step-by-step explanation:
hope it helps. that's the least I could do if it's not correct please tell me.
A peregrine falcon in flight can travel as fast as 200 miles per hour. Which representation does NOT show y, the total number of miles that a peregrine falcon can fly, in x hours?
Answer:
The first optionStep-by-step explanation:
This is a direct relationship.
The equation is:
d = 200tThe first option:
d = 110t, no, not matching the aboveThe second option:
d = 200t, yes, same relationshipThe third option:
1100/5.5 = 200y = 200x, yes, same relationshipThe fourth option:
100/0.5 = 200y = 200x, yes, same relationshipwho was the first president of the United States ?
mr george washington
Help me pls nsjsjsh help help
Answer:
43.98
Step-by-step explanation:
The formula for circumference is 2(pi)r
R is the radius
The radius is 7
So that means 2(pi)(7) is the answer
2(pi)(7) = 43.98
1. In which table is y not a function of x?
please help!!
Answer:
D
Step-by-step explanation:
because All Of The Value Of X Is The Same
PLEASE ANSWER ASAP!!!!!!!!!! At what rate is the amount of flour decreasing per minute if the original amount is 630?
Did you figure it out?
Diego played chess for 30 minutes. He stopped playing at 5:49 PM move the numbers to the Clock to show what time he started playing
Answer:
He strated at 5:19 PM
Step-by-step explanation:
Have a Nice Day!
Answer:
5:19
Step-by-step explanation:
6 tan(2x) − 6 cot(x) = 0 ; [0, 2π)
9514 1404 393
Answer:
x ∈ {π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6}
Step-by-step explanation:
We can divide by 6 and use some identities to rewrite this as ...
2tan(x)/(1-tan(x)²) -1/tan(x) = 0
2tan(x)² -(1 -tan(x)²) = 0 . . . . . . . . . multiply* by tan(x)(1 -tan(x)²)
3tan(x)² = 1
tan(x) = ±1/√3 ⇒ x = {π/6, 5π/6, 7π/6, 11π/6}
__
Interestingly, if we use different identities, we can rewrite it as ...
2cot(x)/(cot(x)² -1) -cot(x) = 0
cot(x)(3 -cot(x)²) = 0 . . . . . . . multiply by (cot(x)² -1)
In addition to the zeros found above, this equation also has solutions where cot(x) = 0. That is ...
x = {π/2, 3π/2}
_____
Usually, the first method shown would give all the solutions. Fortunately, we had a graph of the function, so we could see that the first set of solutions found was not complete. (This is one reason I like to use a graphing calculator for guidance on problems like this.)
_____
* In the first solution, we multiplied by the denominator tan(x)(1 -tan(x)²). It was multiplying by tan(x) that made the π/2, 3π/2 solutions disappear. Had we kept 1/tan(x) as a numerator factor of cot(x), we would have had the same result as seen in the second approach.
3. Given that ∆RSV - ∆RTU, find the coordinates of S and the scale factor. R(0, 0) T(16,0) V(0, --6) U(0, -8)
Answer:
I'll give the scale factor and you can compute the coordinates of S
Step-by-step explanation:
the dilation if centered about the origin is the scale factor multiplied by each coordinate.
so looking at points V and U, the scale factor F is found by solving for F:
-6xF= -8
F=8/6=4/3
Now you can compute the coordinates for S
send a comment if you need help
2.6 divided by 97.526
Answer:
Step-by-step explanation: how do u supposed to divide that???
Answer:
Just put it into a calculator
Step-by-step explanation:
find the value of x
show your work
Answer:
x = 8√3
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
√x² = √192
x = √64 √3
x = 8√3
Find the length of k to the nearest 10th of an inch
See attachment for reply and answer.
Answer: k = 12 inches
W
(5x- 12)
z
Y
(2x - 3)°
X =
m
Answer:
<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE
90+5X-12+2X-3=180
7X=180-75
X=105/7=15
X=15°
again
in right angled triangle XYZ
<Y+<Z+<X=180
<y+90+2×15-3=180
[here diagonal of the rectangular bisect each at 90°]
<Y=180-117=63°
M<VWZ= <XYZ=63° alternate angle
is the following number rational or irrational ? -0. overline 32
Answer:
yes
Step-by-step explanation:
because -0 is not rational number