What is the fractional equivalent of repeating decimal 0.5
The fractional equivalent of the repeating decimal 0.5 is 5/9.
To convert the repeating decimal into a fraction, we can assign a variable, let's say x, to the repeating decimal. In this case, x = 0.5555...
Next, we multiply both sides of the equation by a power of 10 that will eliminate the repeating part.
10x = 5.5555...
Now,we subtract the original equation from the new equation to eliminate the repeating part:
10x - x = 5.5555... - 0.5555...
9x = 5
Simplifying the equation, we get:
x = 5/9
Therefore, the correct answer is A. 5/9.
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The complete question is
What is the fractional equivalent of the repeating decimal 0.5?A.5/9B.1/2C.5/99D.5/100
Find the value of r.
Answer:
r=0
Step-by-step explanation:
the line passes through the origin which means there is no y-intercept
if you ran 4 miles in 36 minutes how many minutes would you have to run in one mile?Explain
Answer:
9 minutes
Step-by-step explanation:
How many times does 35 go into 100 please give correct answer max points.
Answer:
100/35 = 2
35 goes into 100 2 times
Step-by-step explanation:
Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.
"The sum of a number and its opposite is always 1."
Answer:
Never applies
Step-by-step explanation:
Given
Argument: The sum of a number and its opposite is always 1
Assume a positive number x
The opposite of the number is negative x (i.e. -x)
The sum of both numbers is:
[tex]Sum = x + (-x)[/tex]
Open Bracket
[tex]Sum = x -x[/tex]
[tex]Sum = 0[/tex]
Now, take for instance.
[tex]Number = 5[/tex]
Opposite would be
[tex]Opposite = -5[/tex]
Their sum is:
[tex]Sum = 5 + (-5)[/tex]
[tex]Sum = 5 -5[/tex]
[tex]Sum = 0[/tex]
Another instance is:
[tex]Number = -8[/tex]
Opposite would be
[tex]Opposite = 8[/tex]
Their sum is;
[tex]Sum = -8 + 8[/tex]
[tex]Sum = -0[/tex]
Hence, the argument never applies because the sum is never 1
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?
Answer:
For 1 year Jeff pays $1200.
For 6 years he pays 7200 / 6 = 1200 per year.
For 9 years he pays 10800 / 9 = 1200 per year.
Jeff's unit rate is $1,200 per year.
Daniel pays $1,150 per year.
150 is less than 1200, so the answer would be:
A. Daniel's unit rate is lower. It is $1,150 per year
What is the equation for the line in slope-intercept form?
Answer:
y=mx+b is slope-intercept form
where m is the slope and b is the y intercept.
Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.
now all we need to do is find the slope
to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope
8/1 is the slope and 0,0 is your y intercept so we put nothing
the equation is y=8x
Step-by-step explanation:
Answer:
y=8x
Step-by-step explanation:
Pick two points (0,0) (2,16)
Then 16-0/2-0= 8
8 is the slope
The y intercept is 0 so
y=8x
Simplify the expression using the properties of operations.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is
Answer:
Step-by-step explanation:
5.23x+3.76-3.67x+6.39
x(5.23-3.67) +(3.76+6.39)
1.56x + 10.15
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$.
Answer:
[-2, 5)
Step-by-Step Explanation:
The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the inequality y = {x ; -2 ≤ x < 5}
WE are asked to find the solution set for the given inequality;
⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)
⇒y=x ∀ x ∈ [-2, 5)
The solution of the given inequality;
x ∈ [-2, 5)
Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
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A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?
Answer:
250 centimeters
Step-by-step explanation:
2 meters into centimeters is 200 so 200+50=250
Answer:
100cm
Step-by-step explanation:
Can someone help me with this.. It is timed I WILL MARK YOU AS BRAINLIEST
Answer:
1) dividend
2) divisor
3) quotient
Would you please help me on this question?
Answer:
x = 2
Step-by-step explanation:
Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:
BC = BA + AC
then we replace them with the measure information they provide:
12 x + 4 = 7 x - 4 + 8 x + 2
and we solve for x in the equation:
12 x + 4 = 15 x - 2
subtract 12 x from both sides:
4 = 15 x - 12 x - 2
4 = 3 x - 2
add 2 on both sides
4 + 2 = 3 x
6 = 3 x
x = 6/3
x = 2
Hint : Add togheter and =180
Answer:
100 + 80
Step-by-step explanation:
Is that a perfect square
Answer:
im gonna go with yes
Step-by-step explanation:
Answer:
is what a perfect square?
Step-by-step explanation:
there is no pic attached
aye i have a code karen someone help please
go to this question on my page and then go to the first answer and there's a Karen in the comments
"1. what do you do to check weather a number is rational or irrational? in your explanation, use an example of irrational and a rational number. 2. how does finding the square root of a number compare to finding the cube root of a number? use the number 64 in your explanation. REALLY HIGH BRAINIRLY"
Answer:
1. If you're taking square roots, the number must be a perfect square to give a rational root.
64 = 8^2, so √64 = 8 is rational
Similarly, since
64 = 4^3, ∛64 = 4 is rational.
For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.
2.
Step-by-step explanation:
What is the x-intercept of
3x – 4y = 242
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
what number is represented by this number discs
Answer:
15
Step-by-step explanation:
round 0.918 to the nearest whole number
Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9
Answer:
2(30-7x)
Step-by-step explanation:
=14+14x-65-9
=14+14x-79
=60+14x
=2(30-7x)
Which man made object is likely to endure long after humans have disappeared from New York city?
A. Ceilings
B. Sewer systems
C. Steel l-beams
D. Bronze sculptures
Bronze sculptures endure long after humans have disappeared from New York city.
What is Man made objects?Human-made materials are those that humans have manufactured. Such examples are rubber, paper, plastic, furniture, and clothing. Artificial satellites are man-made. They take off from the Earth.
As, Bronze is an extremely robust substance that can withstand many circumstances that softer metals cannot.
Utilizing this metal for art pieces is fantastic because it requires no maintenance and upkeep and can survive for hundreds of years, enhancing its worth even further.
Also, Bronze is last long than Steel.
Thus, Bronze sculptures endure long after humans have disappeared from New York city.
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help me please in this problem
Solve for n: n/3 > 66 2/3
Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).
Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.
What is the perimeter of this square?
aaaaaaaaaaaaaa
11 in
Answer:
44 in
Step-by-step explanation:
Perimeter is adding up all the sides together and since we know it is a square that means each side is equal
11 in + 11 in + 11 in + 11 in = 44 in
Which is equivalent to −2/5
Answer:
-0.4
Step-by-step explanation:
-2 divided by 5
Answer:
-4/10
Step-by-step explanation:
There are many more this is one of them.
1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5
Answer:
Since the slope of KM and ST are different, they are not parallel
Step-by-step explanation:
Slope of line KM = [tex]\frac{5}{8}[/tex]
Slope of ST = [tex]-\frac{8}{5}[/tex]
Determine whether the lines are perpendicular;
Solution:
We can use the slope of a line to determine whether they are perpendicular or parallel to one another.
Parallel lines do not meet one another
Perpendicular lines cross one another at an angle of 90°
Two lines are parallel if their slopes are the same;
Since the slope of KM and ST are different, they are not parallel
Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x - 4) . (1 point)
1 ) 8x ^ 2 + 6x - 1
2) 8x ^ 2 - 6x - 7
3 ) 8x ^ 2 + 6x + 1
4 ) 8x ^ 2 - 6x + 7
Answer:
2) 8x^2 -6x-7 hope this helps
PLEASE HELP ASAP
Simplify the expression.
Log(x^4) - log(x^3)
A. Log(x)
B. Log(x^4-x^3)
C. Log(x^4+x^3)
D. Log(x^7)
Answer:
Log(x)
Step-by-step explanation:
Write an equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
Line CD is shown. C is at 1, 1. D is at 3, 5.
y = −0.5x − 5.5
y = −0.5x + 5.5
y = 2x + 13
y = 2x − 13
Answer:
its b
Step-by-step explanation:
i took the test
y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.
Given, two points are C(1, 1) and (3, 5).
Therefore, equation of the line CD is:
[tex]\frac{x - x_{1} }{y-y_{1} }[/tex] = [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]
⇒2(x - 1) = (y - 1)
⇒ y = 2x - 1
Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).
Therefore, slope of the line CD is = 2.
We know, slope of CD × slope of AB = -1
Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].
Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).
Therefore, equation of the line AB is:
(y - y₁) = m(x - x₁)
⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]
⇒ 2(y - 6) = (-x - 1)
⇒ 2y - 12 + x + 1 = 0
⇒ x + 2y = 11
⇒ y = - 0.5x + 5.5
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The two triangles are similar, What is the length of DE?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.
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The length of a rectangle is four times its width.
If the perimeter of the rectangle is 90 yd, find its length and width.
Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]
Where l is length and w is width
Putting values and finding length and width of rectangle
[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd