All categories

1 year ago

Express 0.555... as a fraction in simplest form

Mathematics

2 answers:

Vika [28.1K]1 year ago

6 0

Answer:

111 /200

Step-by-step explanation:

0.555 × 1000 / 1 × 1000 = 555/1000

when reduced to fraction the answer is 111/200

cestrela7 [59]1 year ago

5 0

Answer:

0.40404040.

Step-by-step explanation:

You might be interested in

Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $

Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

50x+150y=600

x=3y

Solve for y in each equation:

1) 50x+150y=600

150y=−50x+600

y=-1/3x+4

2) x=3y

y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

4 0

1 year ago

A stack of books is 5 feet high. If the average book is three inches high, how many books are in the stack?

Thepotemich [5.8K]

4 books make 1 foot since there are 12 inches in a foot so 4 * 5 is 20

There are 20 books in the stack

7 0

2 years ago

Read 2 more answers

Quadrilateral ABCD is translated 7 units down and 2 units to the right.

Inessa05 [86]

It will remain the same.

6 0

1 year ago

Read 2 more answers

Penny and her two friends each ate 1/6 of cake . how much cake did they eat

Hoochie [10]

They ate 1/3 of the cake

4 0

2 years ago

Read 2 more answers

A study was conducted to determine if there was a difference in the driving ability of students from West University and East Un

Sholpan [36]

Answer:

There is no significant evidence which shows that there is a difference in the driving ability of students from West University and East University, assuming a significance level 0.1

Step-by-step explanation:

Let p1 be the proportion of West University students who involved in a car accident within the past year

Let p2 be the proportion of East University students who involved in a car accident within the past year

Then

$H_{0}:$ p1=p2

$H_{a}:$ p1≠p2

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{\frac{p*(1-p)*(n1+n2)}{n1*n2} } }$ where

p1 is the sample proportion of West University students who involved in a car accident within the past year (0.15)
p2 is the sample proportion of East University students who involved in a car accident within the past year (0.12)

p is the pool proportion of p1 and p2 ( $\frac{15+12}{100+100}=0.135$ )
n1 is the sample size of the students from West University (100)
n2 is the sample size ofthe students from East University (100)

Then we have z= $\frac{0.03}{\sqrt{\frac{0.135*0.865*(100+100)}{100*100} } }$ ≈ 0.6208

Since this is a two tailed test, corresponding p-value for the test statistic is ≈ 0.5347.

Assuming significance level 0.1, The result is not significant since 0.5347>0.1. Therefore we fail to reject the null hypothesis at 0.1 significance

6 0

1 year ago