Answers
Answer: 4311/9900 or 479/1100
Step-by-step explanation:
Okie so in order to do this, we need to get rid of the repeating part of the decimal
==============================================================
Right now we have x = 0.435454545454...
If we multiply this by 100, we get
100x = 43.545454545454
And if we multiply by 10000 we get
10000x = 4354.5454545454
==============================================================
Subtract the two equations
10000x = 4354.5454545454
100x = 43.545454545454
------------------------------------------------- (notice: the repeating part will cancel out)
9900x = 4311
x = 4311/9900
If you simplify the fraction you get: 479/1100
The fraction that represents the repeating decimal is
[tex]\frac{479}{1100}[/tex]
Given :
A repeating decimal [tex]0.4354545454...............[/tex]
there is bar at 54 , so 54 is repeating
We need to convert this decimal into fraction
54 is repeating so we multiply by 100
Let x= [tex]0.4354545454...............\\[/tex]
[tex]100x=43.54545454...............[/tex]
Now we subtract x from 100x
[tex]100x=43.54545454...............\\ x= 0.4354545454...............\\-----------------------------------------\\ 99x=43.11[/tex]
Now divide both side by 99
[tex]x=\frac{43.11}{99} \\[/tex]
multiply top and bottom by 100 to remove the decimal
[tex]x=\frac{4311}{9900} \\Divide \; top \; and \; bottom \; by 9\\x=\frac{479}{1100}[/tex]
Learn more :
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Related Questions
Parallel Lines cut by a transversal
Answers
Answer:
110
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Set the two given equations equal to each other (alternate angles i think)
12x + 2 = 11x + 11
**simplify and pull x to one side**
x = 9
**now insert x=9 into one equation (I choose 12x+2**
12(9) + 2 = 108 + 2 =110
A
6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?
b. If she puts $2,100 down,
how much will she be
financing?
c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?
Answers
9514 1404 393
Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
__
b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
__
c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
find the value (s) of the variables (s) in each parallelogram.
Answers
Step-by-step explanation:
As we can see it is a parallelogram so here the diagonals bisect so
6y + 1 = 4y + 9
6y - 4y = 9 - 1
2y = 8
y = 8 / 2
y = 4
2x - 5 =x + 7
2x + x = 7 + 5
3x = 12
x = 12 / 3
x = 4
Hope it will help :)
A father is 20 years older than his son. Five years ago,he was three times as old as his son was.Find their present ages
Answers
Answer:
Dad=35, Son=15
Step-by-step explanation:
Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:
x+20−5=3(x−5)
x+15=3x-15
x=15
So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!
Dare to do this if you are geiness
Express 750×900as a product of it prime factors using exponents
Who did this get a follow and marked as brainliest
Answers
Answer:
2^3 x 3^3 x 5^4
Step-by-step explanation:
750 x 900 = 675000
675000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 5
Which in product of prime factors is = 2 to the power of 3 x 3 to the power of 3 x 5 to the power of 4
For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1
Answers
Answer:
Convert each fraction to its percentage form:
= 36 / 40
= 90%
= 1/3
= 33.3%
= 70/100
= 70%
= 1 / 8
= 12.5%
Looking at the percentages:
= 36 / 40 is closest to 1.
= 1/3 and 70/100 are closest to one half which is 50%
= 1/8 is closest to 0.
The temperature at 5:00 am functions
Answers
Answer:
t2 = 37 °F
Step-by-step explanation:
t
1
=52
∘
F
g=3
∘
F/hr
Write a real life scenarlo that can be represented by the integer -55
Answers
Answer:
I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.
I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.
I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.
Step-by-step explanation:
I put different scenarios because I didn't know if any of them were good enough.
Solve for b. b + 2 = 4.6
b=6.6
b=4.12
b=2.6
b=2.3
Answers
Answer:
b=2.6
Step-by-step explanation:
b+2=4.6
Subtract both sides by 2 to isolate b
b+2-2=4.6-2
b=2.6
Therefore, b is equal to 2.6.
I hope this helps!
please help me with this and explain. It’s due in a bit :/
Answers
Answer:
choice D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they have similar angles and similar sides, and the description choice D gives is also correct
find the mean of the given data. 147 141 120 124 128
Answers
660/4 =132
hope that helps xo
I divided by 5 because there are 5 items in the set of data.
Hope this helped!!
The number of hot drinks sold in a café decreases as the weather becomes warmer. What type of correlation does this statement show?
Answers
Find the unit rate for each Lean Cuisine Entree. Show your
work
Please show work worth 40 points
Answers
Answer: 60
Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60
plz help asap I'll mark brainliest!!!
Answers
1280
EXPLINSTION
because
Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61
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pleaseeee Answer! Will Mark as Brainliest for the Best Answer
Answers
................................
Answer:
[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]
Step-by-step explanation:
[tex]\frac{1}{y^{7} } = y^{-7}[/tex]
[tex]\frac{1}{z} = z^{-1}[/tex]
what should be added to
11/21 to make it
19/21
Answers
To find what needs to be added subtract the two numbers:
19/21 - 11/21 = 8/21
You need to add 8/21 to 11/21 to get 19/21
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.
Answers
Answer:
40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 [tex]\frac{1}{2}[/tex] cm
width = 2 [tex]\frac{1}{2}[/tex] cm
height = 2 [tex]\frac{1}{2}[/tex] cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
6 [tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]Volume = [tex]\frac{13}{2}[/tex] x [tex]\frac{5}{2}[/tex] x [tex]\frac{5}{2}[/tex]
When you multiply everything together you should get [tex]\frac{325}{8}[/tex].
As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].
The combined height of one fur tree and one pine tree is 21 meters. The higher of 4 fir trees stacked on top of each other is 24 meters taller that the one pine tree. How tall are the types of trees that Logan genetically engineered?
Answers
Answer: Fur tree = 6 meters, pine tree = 15 meters
Step-by-step explanation:
Lets say the height of one fur tree is x
the height of one pine tree is y
so x+y=21 and 4x=24
x = 6
y = 15
Arthur is organising his collection of dvds he has 135 altogether. The ratio of comedy films to action horror is 6 : 8 : 1
Answers
Answer: See explanation
Step-by-step explanation:
The number of comedy films will be:
= 6/(6+8+1) × 135
= 6/15 × 135
= 54 comedy films
The number of action films will be:
= 8/(6+8+1) × 135
= 8/15 × 135
= 72 action films
The number of horror films will be:
= 1/(6+8+1) × 135
= 1/15 × 135
= 9 horror films
I need help ......................
Answers
Answer:
this is to hard
Step-by-step explanation:
7, 8 ,9 ,0 10
triangle similarity i think ... picture included * SIN COS TAN
Answers
Answer:
d = 105tan(37°)Step-by-step explanation:
opposite (o) = d
adjacent (a) = 105
Angle A = 90 - 53 = 37°
Therefore,
the correct equation would be
tan(A°) = opposite/adjacent
tan(37°) = d/105
d = 105tan(37°) ✅d = 105 × 0.7535540501
d ≈ 79.12 units
______________
#IndonesianPride
- kexcvi
46−[38−{27−(15−13−2¯¯¯¯¯¯¯¯¯¯¯¯¯)}]
=
Answers
Answer:
46-38-27-15+13+2
=-17
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.
Answers
Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
15d
Step-by-step explanation:
If there are d teams and 15 people in each team d x 15 = 15d
Please give me the correct answer.Only answer if you're very good at math.
What is the relationship between toppings and price?
A:Fornos charges one euro for every topping.
B:Fornos charges one euro for a plain slice, and one-half euro for each extra topping.
C:Fornos charges one and a half euros for each topping.
D:Fornos charges one-half for each topping.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the missing side (to 2dp)
Answers
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
Answer:
17.74 to 2 dp.
Step-by-step explanation:
tan 29 = x/32
x = 32 tan 29
= 17.7379.
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
(4p^2+3)(p+2)
Step-by-step explanation:
If a triangle has side lengths of 28,45, and 50, is the triangle acute,obtuse,or right?
Answers
Answer:
Acute i think
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
Write an equation in slope-intercept form of the line shown.
Answers
Answer:
y=2x-2
Step-by-step explanation:
The slope is 2 and your y intercept is already given as -2.
Slope intercept is basically y=mx+b
plug it in so you get y=2x-2
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118