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

Factor the expression completely.

-20% -40

A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)

Answers

Answer:

C.-20(X+2)

Step-by-step explanation:

I think you wrote -20% by mistake instead of -20x

HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)

Answers

The combined radical is: [tex]- 26\sqrt{3}[/tex]

The radical is given as:

[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]

We start by expressing 12 as 4 * 3

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]

Split the radical

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]

Take square root of 4

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]

Combine like terms

[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]

Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]

Read more about surd radicals at:

https://brainly.com/question/14923091

Is it ok if you help me solve this?

Answers

Answer:

For it to be parallel the answer is B (3)

Answer:

B) 3

Explanation:

If two lines are parallel that means that their equations have the same value of slope.

how do we know a given number in the radical is whether rational or irrational​

Answers

number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.

HELP FAST Which solution shown bellow contains an error

Answers

Answer:

B

Step-by-step explanation:

insert 3 rational no. between 4/13 and 1/13​

Answers

Answer:

2/13,3/13,4/13....

hope it helps

Answer:

Step-by-step explanation:

4/13=40/130

1/13=10/130

numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.

we can select  any three out of these.

4 1
+
15
(Type a simplified fraction.)
5

Answers

Answer:

7/15

Step-by-step explanation:

hope the picture helps

41
+
15
=
11.2 is your answer mskdnsnsndjdjdndjdnd

c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers​

Answers

Their LCM is

70

hope it helps you.

Answer:

Their L.C.M IS

70....

IT IS YOUR ANSWER

For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.

Answers

Answer:

y = 4x - 8

Step-by-step explanation:

y = 4x + b

4 = 4(3) + b

4 = 12 + b

-8 = b

factorise (x+1)^2 + 4(x+1)

Answers

Answer:

(x + 1)(x + 5)

Step-by-step explanation:

Given

(x + 1)² + 4(x + 1) ← factor out (x + 1) from each term

= (x + 1)(x + 1 + 4)

= (x + 1)x + 5)

Find the missing value.
Hint: Use the number line to find the missing value.
-(-7)=5
{ #
-15

15
-10
-5
0
5
10


Answers

Answer:

= -2

Step-by-step explanation:

-2 -(-7)

= 5

I hope this Helps!

using trig to solve for missing angle

Answers

cos(30)=x/15
15cos(30)=x

Cos= adjacent/ hypotenuse


32% of 300 is what number?

Answers

Answer: 96

Step-by-step explanation:

This equation helps

X / 100 = is / of

32/100 = X / 300 (cross multiplication)

32 times 300, divided by 100

= 96

Answer:

96

Step-by-step explanation:

every percent is out of hundred so (32 * 300)/100 = 96

PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x

Answers

Answer:

- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.

-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.

Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
y = [? ]X + [ ]

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

A parallel line will have the same slope so the slope will remain 4. To fine the new y-intercept, we can substitite the point we are given.

1 = 4(1) + b

1 = 4 + b

-3 = b

Now, we can create the new equation with the information we found.

y = 4x - 3

Best of Luck!

Answer: y = 4x - 3

Step-by-step explanation:

y-y=m(x-x)

y-1=4(x-1)

y-1=4x-4

y=4x-3

39 3,822 Whats the answer ​

Answers

Answer:

The answer is 98

Step-by-step explanation:

Can I get branly plz and hope this help

square root of 3x^4 times square root of 5x^2 times square root of 10.

Multiply and remove all perfect squares from inside the square roots. Assume x is positive.

Answers

Answer:

[tex]5x^3\sqrt{6}[/tex]

Step-by-step explanation:

We need to simplify

[tex]\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}[/tex]

Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.

[tex]= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}[/tex]

The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is,  5x³ [tex]\sqrt{6}[/tex]

What is square root?

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

three terms,

[tex]\sqrt3{x^{4} }[/tex]

[tex]\sqrt{5x^{2} }[/tex]

[tex]\sqrt{10}[/tex]

by multiplying all the three terms,

⇒ [tex]\sqrt3{x^{4} }[/tex] × [tex]\sqrt{5x^{2} }[/tex] × [tex]\sqrt10} }[/tex]

⇒  √(3x⁴×5x²10)

⇒   √ 150x⁶

⇒     5x³ [tex]\sqrt{6}[/tex]

Hence, the product is   5x³ [tex]\sqrt{6}[/tex]

To know more about square root check:

https://brainly.com/question/29286039

#SPJ2

Please help with this on the picture

Answers

Answer:

a) 81

b) 16,807

c) 100

d) 78125

Step-by-step explanation:

a)

3^2 x 3^2

Step 1. Simplify the exponents

3^2 = 3 x 3 = 9

Step 2. Multiply

9 x 9 = 81
••••••••••••••••••••••••••••••••

b)

7 x 7^4

Step 1. Simplify the exponent

7^4 = 7 x 7 x 7 x 7 = 2401

Step 2. Multiply

7 x 2401 = 16,807
••••••••••••••••••••••••••••••••

c)

10^9 divided by 10^7

Step 1. Simplify the exponents

10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

Step 2. Divide

1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••

d)

5^8 divided by 5

Step 1. Simplify the exponent

5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625

Step 2. Divide

390625 divided by 5 = 78125



0.008 x 2.5 in standard form is (A) 2 x 10-² (B) 2 x 10 (C) 2 x 10-¹ (D) 2 x 10²​

Answers

Answer:

(D) 2 x 10²

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope it is helpful.....

Answer:

2 × 10 ^2

Step-by-step explanation:

(d) option is correct

Find the length of y. Assume the triangles are similar.\

A. 3.6
B. 3.2
C. 3.9
D. 3.4

Answers

6,3:y=4,2:2,4

y=3,6

Chọn a

Solve for t in terms of q, r, and s.
r = sqt
t=

Answers

Answer:

t=r/(sq)

Step-by-step explanation:

r=sqt

=> r/(sq)=t

Answer:

T= r/(sq)

Step-by-step explanation:

r= sqt

=r/(sq) =t

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown

f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?

g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?

'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?

Answers

Answer:

Step-by-step explanation:

F. 5/7 chance

G. 9/14 chance

H. You did not mention a blue color in the question.

Answer:

g) a) 11/14

f) 9/14

h) 12/14

Step-by-step explanation:

Probability is just the amount of the specified object over the total amount of objects.

Amount of Red : 2

Amount of Orange: 5

Amount of Green: 3

Amount of Brown: 4

Total: 14

*Formula: (Specified Object)/(Total)*

F) Chances of Red or Orange or Green

=(2+5+4)/14

=11/14

G) NOT be orange

*Formula: (Total)-(Specified)/(Total)*

=(14-5)/14

=9/14

H) NOT blue or red

*Formula: (Total)-(Specified)/(Total)*

=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)

= 12/14

answer
answer
asap
pls

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

An integer can be written as a fraction by giving it a denominator of one

HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4

Answers

Answer:

Step-by-step explanation:

I'm pretty sure its b

solve for x. you must show all of your work to receive credit.

Answers

Answer:

x = 6

Step-by-step explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)

5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

evaluate the following 3^2 divided by (2+1)

Answers

Answer:

God bless you

i don't have nice handwriting

Write the Roman numeral CLXXIX in standard form.​

Answers

179 is the answer

hope it helps

Answer:

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

Step-by-step explanation:

Numbers close to CLXXIX

Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.

176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1

177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1

178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

180 = CLXXX = 100 + 50 + 10 + 10 + 10

181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1

182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1

Symbol Value

I 1

V 5

X 10

L 50

C 100

D 500

M 1000

I hope this helps.

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
A s= 3/ 10m
B s= 10/3m
C m=3/10s
D m=1/30s​

Answers

Answer:

Step-by-step explanation:

I'm assuming that the length of the spring is s and the mass of the object is m. If that be the case, the direct variation equation, which a line btw, is

s = km where k is the constant of proportionality. We have to solve for k, the slope of the line, in order to determine the model for this situation.

9 = k(30) so

[tex]k=\frac{9}{30}=\frac{3}{10}[/tex] Now that we know, the slope of the line, we can rewrite the equation with the slope in place:

[tex]s=\frac{3}{10}m[/tex], choice A.

Can someone help me with this I don't understand find TAN

Answers

Answer:

Tan X = 14/48 = 7/24

Answered by GAUTHMATH

Answer:

7/24

Step-by-step explanation:

tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)

14 / 48 = 7 / 24. Simplest form is 7/24.

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

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