Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)

1. 0.333
2.0.454545
3.0.353535
4.242424
5.0.393939

Answers

Answer 1

Answer:

1) 1/3

2) 45/99

3) 35/99

4) 24/99

5) 39/99

Explanation:

1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3

2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99

3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99

4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99

5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99


Related Questions

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

1 - 2/5 - 1/3= 4/15 of the circle is shaded

If you spend 540 minutes per year waiting in lines, how many hours is this?

Answers

Answer:

540 minutes in hours =540/60

=9 hours

The time 540 minutes in hours will be 9 hours.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the time is 540 minutes. The value of time in hours will be calculated as,

The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.

Time = 540 / 60

Time = 9 hours

To know more about an expression follow

https://brainly.com/question/12053230

#SPJ2

pls help thanks alot​

Answers

1st, 4th, 5th. hope this helped!

Answer:

A, C, D

Step-by-step explanation: the side of the > that has the opening is the side that should have the greater number, so if its like answer A its true

Question 1
Select ALL expressions that are equivalent to 4x + 2(2x - 5) - (3 - 5x).
A
82 - 10 - 3 - 52
B
3.2 - 13
С
13 – 13
82 - 10 - 3 + 5%
E
83 - 5 - 3 - 5x

Answers

Answer:

B

Step-by-step explanation:

help me with ten please

Answers

Answer:

H

Step-by-step explanation:

Jane bought 12 identical beanie babies for her sister’s birthday goody bags. Is it possible that without tax her purchase was: $16.20, $18.32, $18.42

Answers

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

what is 917 divided by 63

Answers

Answer:

14.55

Step-by-step explanation:

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.

Look at the table below.

Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents

In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4

Answers

The first step because 1 dollar and 60 cents is not (1.6)= 2 dollars and 5 cents

Angle 3 and angle 4 are supplementary angles angle 3 is 88° what is the measure of angle 4?

Answers

Answer:

92°

Step-by-step explanation:

Supplimentary angle = 180°

So, 180° - 88° = 92°

Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 30 + (-12) + 70
B. -10 + (-20) + 1/2
C. 60 +40 + (-25)

Answers

Answer:it’s A

Step-by-step explanation:

The ratio of apples to oranges in a basket of fruit is 2:7. There are 21 oranges in the
basket. How many apples are in the basket?

Answers

Answer:

6

Step-by-step explanation:

The given ratio specifies the number of apples to be found in the basket

for a given number of oranges.

Correct response:

The number of apples in the basket are 6 apples

Methods of calculation

The given ratio of apples to oranges in the basket of fruits = 2:7

The number of oranges = 21 oranges

Required:

The number of apples in the basket.

Solution:

The given ratio can be expressed as follows;

[tex]\mathbf{\dfrac{Number \ of \ apples}{Number \ of \ oranges}} = \dfrac{2}{7} [/tex]

Which gives;

[tex]\dfrac{Number \ of \ apples}{21} = \dfrac{2}{7} [/tex]

7 × (Number of apples) = 2 × 21

[tex]Number \ of \ apples = \dfrac{2 \times 21}{7} = 6[/tex]

The number of apples in the basket = 6 apples

Learn more about ratios here:

https://brainly.com/question/2645778

6(5−8v)+12=−54 can you help me with this?

Answers

Answer:

v=2

Step-by-step explanation:

6(5-8v)+12=-54

6(5-8v)=-66

(6(5-8v))/6=-66/6

5-8v=-11

-8v=-11-5

-8v=-16

6(5-8V)+12=-54
6(5-8V)=-66
(6(5-8V))/6=-66/6
5-8V=-11
-8V=-11-5
-8V=-16
V=2

Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19

Answers

B. 2 4 8 16 32 is a geometric sequence

Plot the line for the equation on the graphy,−5=3/2(x−2)

Answers

Answer:

The equation of the line is:

y - 5 = 3/2 (x - 2)

Transforming the line into the slope intercept form:

y = 3x/2 - 3 + 5

y = 3x/2 + 2

The slope is 3/2 and the y-intercept is 2.

Plotting this on the graph can be done using these steps:

Locate the point (0,2) on the graph.

From (0,2), count 3 units up and 2 units to the left and indicate that point.

Finally, connect the two points and extend the line.

Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical factor in determining the likelihood of an accident occurring (Update, Virginia Department of Transportation, Winter 2000). One of the experts claims that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)2. On a heavily traveled highway, a random sample of 55 cars revealed a mean and a variance of speeds of 62.5 mph and 94.7(mph)2, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)
1. Set up the competing hypothesis to test wxpert,s claim.
2. At the 5% significance level find the critical value and state the decision rule.
3. Can you conclude that driving conditions are dangerous on this highway? explain.

Answers

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.

Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

[tex]\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153[/tex]

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

[tex]\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}[/tex]

    [tex]=\frac{(55-1)\times 94.7}{75}\\\\=68.184[/tex]

The test statistic value is, 68.184.

Decision:

[tex]cal.\chi^{2}=68.184<\chi^{2}_{0.05,54}=72.153[/tex]

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?

Answers

Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Dave cleans pools at a constant rate of 2/5 pools per hr what is the ratio of the number of pools he cleans to the number of hours
How many pools can dave clean in 20 hrs

Answers

Answer:

For every 1 hour he cleans 2/5 pools, so the ratio of pools to hours is 0.4:1

In 20 hours, Dave can clean 2/5 • 20 = 8 pools.


Brett made a scale drawing of a rectangular room in his house.
The actual length of the room is 12 4/5 ft. The scale used to make the
drawing was 1/4 in. = 1 ft. What is the length, in inches, of the room
on the drawing?

Answers

Answer:

Step-by-step explanation:

Length of the room = 12 4/5 ft = 12.8 ft

Scale is 0.25 inches = 1 ft.

This means that every 1ft is shown as 1/4 inch on the map.

To find what 12 4/5ft on the map, you would multiply 12.8 by 0.25.

12.8 x 0.25 = 3.2 inches

Simplify 5a-(-9)-7a-12

Answers

Answer:

-2a = 0 + 3

Step-by-step explanation:

hope this helps.

I mark as brainliest ​

Answers

Answer:

.1

Step-by-step explanation:

Answer:

Point Q is represented by the ordered pair (-2,9)

Michelle can type 120 words in 3 minutes. How many words can she type in 1 minute at this rate? A. 30 words B. 40 words C. 50 words D. 60 words


pls answer i cant figure it out pls don't type random things for points

Answers

Answer:

B

Step-by-step explanation:

THe answer is b because you have to divide 3 by whatever the answer is so just divide all answers until you get one thats 120 so b

Answer:

B.40 words

Step-by-step explanation:

120÷3=40

40×3=120

I think I know the answer but I just want to double check.

Answers

D would be the correct answer

Answer:

D

Step-by-step explanation:

I think it's same with what ur thinking

What is the value of the expression below? (9 divided by 3) + 4 (6 minus 7) –7 –1 7 20


PLEASE ANSWER QUiCK I’m on timer

Answers

Answer:

The answer is -1.

Step-by-step explanation:

Answer:

-1 is the answer saw it on clculator

Line a passes through points (-2, 1) and (2,9). Write an equation in slope intercept form that is parallel to line a.​

Answers

Answer:

y=ax+9−2a (i think )

Step-by-step explanation:

A straight line is represented by a linear function

The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

The points are given as:

(x1,y1) = (-2,1)

(x2,y2) = (2,9)

Calculate the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]

[tex]\mathbf{m = \frac{8}{4}}[/tex]

[tex]\mathbf{m = 2}[/tex]

The equation in slope intercept form is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 2(x +2) + 1}[/tex]

[tex]\mathbf{y = 2x +4 + 1}[/tex]

[tex]\mathbf{y = 2x +5}[/tex]

Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

Read more about slope intercept form at:

https://brainly.com/question/11824567

Three times a number minus 5 plus the same number

Answers

Answer:

15

Step-by-step explanation:

What is the quotient of (-55) divide by 5?

Answers

Answer:

11

Step-by-step explanation:

Answer:✨

-11

✨Step-by-step explanation:✨

-55 ÷ 5 = -11

(Just take the negative sign away and divide)

The mayor of a town saw an article that claimed the national unemployment rate is 8%. They wondered if this held true in their town, so they took a sample of 200 residents to test H_0 : p = 0.08 versus H_a : p != 0.08, where p is the proportion of residents in the town that are unemployed. The sample included 22 residents who were unemployed.Identify the correct test statistic for this significance test to one decimal place.

Answers

Answer:

Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6  

we reject the Null hypothesis

Step-by-step explanation:

The correct test statistic

Assume :

Null Hypothesis :  H_0 : p = 0.08

Alternative hypothesis : H_a : p ≠ 0.08

p = proportion of residents that are unemployed

x = unemployed residents = 22

n = sample size = 200

To get the sample of the population that is unemployed we use this equation

[tex]p = \frac{X}{n}[/tex]  =  22 / 200   = 0.11

now we apply the test of of significance of single proportion

= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]

therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6

Therefore we reject the Null hypothesis

Testing the hypothesis, it is found that the test statistic used is z = 1.6.

At the null hypothesis, it is tested if the proportion is of 8%, that is:

[tex]H_0: p = 0.08[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:

[tex]H_1: p \neq 0.08[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]

[tex]z = 1.6[/tex]

A similar problem is given at https://brainly.com/question/24166849

PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

R1:   Given

R2:   Subtraction Property of Equality

R3:   Distribute Property

R4:   Addition Property of Equality

R5:   Division Property of Equality

Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4

Prove: m∠3 + m∠1 + m∠2 = 180°

Given: ∠1 + ∠2 = ∠ 4

∠4 + ∠3 must be 180° because they are supplementary

If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.

Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.

Plz mark brainliest:)

Round the numbers to the nearest ten thousands.

62 389-
65 405-
51 330-
343 021-
102 779-​

Answers

Answer:

60,00070,00050,000340,000100,000

The roots of a quadratic equation are
1/ 3 and -2. Determine the equation​

Answers

Answer: God

Step-by-step explanation:

The reason it’s god is because god created everything so he know everything. So your answer is god

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