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Explanation:
[tex]0.\overline{5}[/tex] means that the 5's go on forever because of that horizontal bar over top. So we can write it as [tex]0.\overline{5} = 0.55555\ldots[/tex]
The three dots indicate it goes on forever following that pattern.
Let
x = 0.55555....
Multiply both sides by 10 to move the decimal point 1 spot to the right
10x = 5.55555....
Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.
After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.
Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.
Solve the equation 3x^2+x-5=0
Answer:
Step-by-step explanation:
Use the quadratic equation, with a = 3, b = 1 and c = -5
Discriminant b^2 - 4ac is 1 - 4(3)(-5) = 61
Because the discriminant is + there are two real, unequal roots:
-1 ± √61
x = ---------------
6
6.) In the recent presidential election, Ohio had 20 electoral votes. This is 14 votes less
than Texas had. How many electoral votes did Texas have?
Answer:
Texas had 34 electoral votes
Step-by-step explanation:
Ohio had 20 electoral votes in the recent presidential election.
Those 20 votes are 14 votes less than Texas had.
This means Texas had 14 votes more than Ohio, that is:
Votes of Texas = 20 + 14 = 34
Texas had 34 electoral votes
Can someone please help me out this this I don’t get it
Put these numbers in order from greatest to least 21, -21/40, -3/8, 21 3/40, 21 3/8
Answer:
Step-by-step explanation:
Hey, I'm sorry I can't help but just know that it's going to be okay, school is also stressing me out. I'm so proud of you for staying alive. Have an amazing day :D
Answer:
21 3/8, 21 3/40, 21, -3/8,-21/40
pls help there are 5 pics with multiple questions inside of them pls thank you
Answer:
12. The second one
13. The first one
14. The last one
15. The first one
16. 30 degrees
Step-by-step explanation:
select all that are equal to 5³x 5⁻⁷
Answer:
The third and fifth are correct
The second one is NOT correct
0.8 = 0.5x
Solve for x
Please show steps thanks so much
You get a $400 base salary for your job selling toasters. You also get a 2% commission on all your sales . If you had $390 in sales , what is your take home pay ?
Answer:
$17,800 ?
Step-by-step explanation:
what is the answer to
-4x12
Answer:
-48
Step-by-step explanation:
the correct answer is,
[tex] - 48[/tex]
what's 200 - 300 ..
.....
Answer:
200-300= -100
Step-by-step explanation:
hope u get it
Answer:
1. How are you in high school if you don't know how to solve simple equations like 200-300?
2. 200-300= -100
Step-by-step explanation:
Hope that this helps! :)
It cost $5 to go to Fun Night. For every game you play, the fee is $0.75 for each game. If you have $11, how many games can you play?
FIRST: In the space below, write an equation to represent the real-life situation. Remember, the variable and operation should be on one side of the equation and the total on the other.
SECOND: Solve the equation - make sure you show your work. Make sure you check your answer with a calculator and that your answer makes sense.plsss help ill give you 50 pointsss
Answer for Part A:
11 = 5 + 0.75g
g = games played
Answer for Part B:
If you have $11, you can play 8 games
Explanation:
what degrees did Rosa Parks earn?
Plzzz help
Answer:
she Earned freedom and justice
Billy charges $15 to mow yard.He needs at least $200 for the new bycicle that he wants.
Answer:
billy has to mow at least 14 yards
Step-by-step explanation:
200 divided by 15 = about 14
You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After
how many wears are the total costs the same at the companies?
What is the range of the function represented by the graph?
On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3
Answer:
{1,2,3,4}
Step-by-step explanation:
cant be zero, also got it right on edge 2020
Answer:
{1,2,3,4}
Step-by-step explanation:
What is f(-2)?
A. -3
B. -1
C. 1
D. 3
Answer:
D.3
Step-by-step explanation:
Part A- solve for x
Part B- solve for y
Part C- find the perimeter
(photo included)
3)
Three angles are in the ratio 2:3:5
The smallest angle is 50
Work out the sizes of the other two angles
Answer:
The other two angles are 75° and 125°.
Step-by-step explanation:
Let three angles are 2x, 3x and 5x.
The smallest angle is 50.
It means,
2x = 50
x = 25
So,
3x = 3(25) = 75°
5x = 5(25) = 125°
So, the other two angles are 75° and 125°.
. Center at (-4,-1), radius = 2
Consider we need to find the equation of the circle.
Given:
The Center at (-4,-1), radius = 2.
To find:
The equation of the circle.
Solution:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting h=-4, k=-1 and r=2, we get
[tex](x-(-4))^2+(y-(-1))^2=(2)^2[/tex]
[tex](x+4)^2+(y+1)^2=4[/tex]
Therefore, the equation of the circle is [tex](x+4)^2+(y+1)^2=4[/tex].
Find all zeros and write the polynomial as a product of linear factors
P(x) = x^3 -5x^2 + 2x +12
Show work please
What is the answer plz help
1. Slope = -3
Y-intercept = 4
Y = mx + b
Answer:
y=(-3)+4
Step-by-step explanation:
Answer:
the equation will be y=-3x+4
Step-by-step explanation:
b is the y intercept, and mx is the slope, also the rate of change. if you asking for an equation.
10) -6x + 8y = 0
-3x + 4y = 2
Infinite solution or no solution
write the slope intercept from of the equation of the line
Answer:
y= x + 2
Hope this helps
Pl help it’s for a grade I will give you Brainly if right
15ℎ2+26ℎ−21
yes yes yes yes
Find the value of x.
evaluate each expression when x=3 (iready)
Answer:
3
Step-by-step explanation:
x^5 = ?^5
x = 3
We plug in x = 3:
3^5 = ?^5
We find the fifth root of both sides and get:
3 = ?
That means that 3 is the answer
Answer:
3
Step-by-step explanation:
To evaluate the expression you would add in the x so in BLANK^3
you would plug in the x which is 3.
GEOMETRY!!!! HELP PLS THANK U
Answer:
i think the answer is 45 degrees
Step-by-step explanation:
find the quotient of $68.20 , 3.1
PLS HELP ME
Answer:
$68.20 divided by 3.1 = $22
Step-by-step explanation:
There is a line whose slope is 7 and whose y-intercept is -5. why is it's equation in slope-intercept form?
Answer:
y = 7x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 7 and c = - 5, then
y = 7x - 5 ← equation of line