I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five

Answers

Answer 1

the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show

[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]

now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus

[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]


Related Questions

A picture which measures 30cm by 40cm is surrounded by a frame which is 11/2 wide. find the area of the frame ​

Answers

Area of the frame = 219 cm squared
Hope my diagram helps (I should’ve used a ruler )

Determine the area of the triangle.
90.6 square units
50.1 square units
94.2 square units
106.0 square units

Answers

Answer:

94.2 square units.

I got 94.09 but that seems to be the closer answer.

Quadrilateral A B C D is shown. All sides are congruent. Angle C is a right angle.
Which statements are true regarding quadrilateral ABCD? Check all that apply.

ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.

Answers

Answer:

The first one and last one

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

got it right on edge

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the given line. (4,-2); y=3

Answers

Answer:

y = -1/3x - 2/3

Step-by-step explanation:

y = -1/3x + b

-2 = -1/3(4) + b

-2 = -4/3 + b

-2/3 = b

PLISSSSSSSS HELPPPPPP!!!!!!
i will give brainliest

Answers

0
14
49
49
-14

Hope this helps!!

The figure shows a parallelogram inside a rectangle outline:

What is the area of the parallelogram?

Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answers

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

============================================================

Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

-----------

A slightly longer approach would have you follow these steps

Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.

on a piece of paper graph y+45 ;*- 2. Then determine which answer
choice matches the graph you Drew.

Answers

Answer:its Graph C

(According to the law of Nicoloas Sadi Carnot)

i'm kinda confused in this question, please help me.

Answers

Answer:

there you go

Step-by-step explanation:

angle DOB is 60 degree.

Answer:

see explanation

Step-by-step explanation:

Given ∠ DOC = 90° then

∠ DOB = 90 - p and

Since AOB is a straight angle , then

4p + 90 - p = 180

3p + 90 = 180 ( subtract 90 from both sides )

3p = 90 ( divide both sides by 3 )

p = 30

4p = 4 × 30 = 120

Then

∠ DOB = 180° - 4p = 180° - 120° = 60°

A group of friends wants to go to the amusement park. They have no more than $365 to spend on parking and admission. Parking is $16.25, and tickets cost $38.75 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

Inequality: [tex] 38.75p + 16.25 \le 365 [/tex]

Solution: [tex] p \le 9 [/tex]

Step-by-step explanation:

Let p = number of people.

Ticket for 1 person: $38.75

Tickets for n people: 38.75p

Parking: $16.25

[tex] 38.75p + 16.25 \le 365 [/tex]

[tex] 38.75p \le 348.75 [/tex]

[tex] p \le 9 [/tex]

Answer

380≥20.75p+15.5

Step-by-step explanation:

good luck

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=x,BC=x+2,AC=14

Answers

Answer:

x=6

Step-by-step explanation:

( x) +(x+2)=14

(2x+2)=14

(2x)=12

x=6

15 POINTS AND BRANLIEST!!!
X = ?

Answers

Answer:

x = 7

Step-by-step explanation:

The 2 angles are Alternate exterior angles and are congruent, so

2x - 3 = x + 4 ( subtract x from both sides )

x - 3 = 4 ( add 3 to both sides )

x = 7

For the lines to be parallel, then x = 7

Can anyone plz help me with this??
Ans =22 But I don't know how?! ​

Answers

Answer:

first + all the digit then divide the rational than multiple it fro 5 then divide from 5 . the answer will appear

A and B are two similar 2D shapes
A 12cm
B 15cm
The area of the shape A is 200cm^2.
Calculate the area of shape B

Answers

Answer: [tex]312.5\ cm^2[/tex]

Step-by-step explanation:

Given

A and B are two similar shape with  lengths of 12 cm and 15 cm

A has an area of [tex]200\ cm^2[/tex]

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

[tex]\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2[/tex]

According to Class 8 please solve

Answers

Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

On Monday, a local hamburger shop sold a combined total of 456 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?​

Answers

Answer:

114 hamburger

Step-by-step explanation:

456:4=114

the cheeseburger sold 3 times than the hamburger so 3+1=4

456:4 =114

A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best represents all of the amounts he can spend to get a free T-shirt

Answers

$38.05 or more because you need a minimum of $38.10

Instructions: Find the measure of

Answers

Answer:

93

Step-by-step explanation:

Add the two angles 48 and 39 =87. 180-87=93

what is the answer to f (x) = 4x + 11

Answers

Step-by-step explanation:

x=4x+11

11=4x-x

11=3x

x=11/3

x=37

In parallelogram BCDE if m C
B
70
50°
E

Answers

Answer:

[tex]x=130[/tex]

Step-by-step explanation:

Opposite angles of a parallelogram are equal

EBC = 50° while, CDE = 50° too

Area of a parallelogram is 360°

Suppose, BCD to be x too, & form an equation:

[tex]50+50+x+x=360[/tex]

[tex]100+2x=360[/tex]

[tex]2x=360-100[/tex]

[tex]2x=260[/tex]

[tex]x=260/2[/tex]

[tex]x=130[/tex]

{CHECK: [tex]130+130+50+50=360^{o}[/tex]}

Answer:

m∠DEB = 130°

Step-by-step explanation:

Key: Only two angles are congruent because of the parallelogram

Since m∠EBC = 50° m∠CDE = 50°

Then we are missing m∠BCD and m∠DEB

50 + 50 + m∠BCD + m∠DEB = 360°

100 + m∠BCD + m∠DEB = 360°

m∠BCD + m∠DEB = 360 - 100

m∠BCD + m∠DEB = 260

m∠BCD + m∠DEB = 260/2

m∠BCD + m∠DEB = 130°

m∠BCD and m∠DEB = 130°

The mean of 6 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the median.

Answers

Answer: 8

Step-by-step explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are [tex]x, x, 2x, 2x, 3x, 3x[/tex]

Write the mean of the numbers

[tex]\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4[/tex]

So, the numbers are [tex]4, 4, 8,8 ,12,12[/tex]

As the total numbers are even, median is the sum of the middle values

[tex]\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8[/tex]

Find the value of x that will make A||B

Answers

Answer:

7

Step-by-step explanation:

Alternate interior angles must be congruent.

3x - 2 = 2x + 5

x = 7

if a/b = 2 /5, b/c = 3 /8, a/c =??​

Answers

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]

[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]

And we need to find out the value of a/c .For that Multiply both of them , we have ;

[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]

Hence the required answer is 3/20 .

Nathan is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 38.15 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

11.26 m

Step-by-step explanation:

The height of the tree is about 11.25 meters.

What are similar triangles?

When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.

Given that, the height of the person is 1.55 meters, the length of the tree's shadow is 38.15 meters, and the distance between the person and the tree is 32.9 meters.

Let the height of the tree be x.

Note that the scenario makes two similar triangles.

Since the ratio of the side lengths of similar triangles is proportional, it follows:

(38.15 - 32.9)/1.55 = 38.15/x

5.25/1.55 = 38.15/x

3.39 = 38.15/x

x = 38.15/3.39

x = 11.25

Hence, the height of the tree is about 11.25 meters.

Learn more about similar triangles: https://brainly.com/question/25882965

#SPJ2

make v the subject of the relation f=vu/v+u​

Answers

Answer:

v=fu/u-f

Step-by-step explanation:

the answer is explained in the diagram

The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Answers

Answer:

y = 20x

Step-by-step explanation:

For members

y = 1/2x + 6

Where,

y = yearly cost in dollars

x = total game tokens purchased

1/2 = cost of each game token

6 = yearly fee

For non members: without yearly fee

A nonmember pays $20 per game token

y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year

Answer:

B,C,E

Step-by-step explanation:

Got it right on Edge

If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?

An image of a rectangle centered at the origin is shown with an arrow showing motion about the y axis.

Rectangular prism
Cone
Cylinder
Square pyramid

Answers

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)

Answers

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

[tex]\dfrac{35}{100}\times 150=52.5[/tex]

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

[tex]\dfrac{113}{100}\times 55=62.15[/tex]

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

Simplify:
(a) 78.5 ÷ 3.14
(b) 56.272 x 41.2
(c) 4 2 9 x 3 3 8 x 7 1 2
(d) 4 4 7 ÷ 5 1 3​

Answers

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

plz help me with this

Answers

0

Step-by-step explanation:

maybe

Answer:

1) 0 miles

2) (0,0)

3) the cars speed is missing? 3 * speed would be this answer

4) (3, "3*speed" )  something like (3,30) if car was going 10mph

Step-by-step explanation:

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