1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
3 years ago
5

Convert the decimal expansion 0.370370... to a fraction.

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

0.370370.....=\dfrac{10}{27}

A is correct

Step-by-step explanation:

We are given a repeating decimal 0.370370.......

Let,

x=0.\overline{370}

x=0.370370370...

In the given repeating decimal 3 digits repeating.

x=0.370370370.....--------(1)

So, we will multiply both sides by 1000

1000x=370.370370370.....-------(2)

Subtract eq(2) - eq(1)

1000x-x = 370

999x=370

x=\dfrac{370}{999}

Reduce the fraction by factor of 37

x=\dfrac{10}{27}

Hence, The given repeating decimal 0.370370....... as fraction \dfrac{10}{27}

Tems11 [23]3 years ago
6 0
The answer is A 10/27 is 0.370370..
You might be interested in
A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o
Novay_Z [31]
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
5 0
3 years ago
40 points Please help, answer and explain, please. Thank you!
zaharov [31]

Answer:

<h2>C. 6x² + 6x² + 3x + 4</h2>

Step-by-step explanation:

6x^2-2x^4+4+3x\\\\\text{Look at the power of variables.}\\\text{Arrange the terms in order from the largest exponent to the smallest.}\\\\-2x^4+6x^2+3x+4

6 0
3 years ago
What are any 9 perfect squares to type in the boxes?
Paul [167]

Answer:

1

4

9

16

25

36

49

64

81

100

Step-by-step explanation:

1 = 1²

4 = 2 x 2 = 2²

9 = 3 x 3 = 3²

16 = 4 x 4 = 4²

25 = 5 x 5 = 5²

36 = 6 x 6 = 6²

49 = 7 x 7 = 7²

64 = 8 x 8 = 8²

81 = 9 x 9 = 9²

100 = 10 x 10 = 10²

4 0
2 years ago
What times -4 equals 23?
Lady_Fox [76]
Ask your self what is -2*?=23.
Then times that answer by 2.
5 0
3 years ago
If Jeremy is in the 90th percentile in the main office test scores is 180 with a standard deviation of 15 which of the following
Alika [10]
199. 

the z score for the 90th percentile is 1.28, so you can solve the equation

\frac{x-180}{15} = 1.28

which gets you the 199
4 0
3 years ago
Other questions:
  • -4 - 2 =2v-2+v+100\4
    13·1 answer
  • What is the actual length of the flower garden
    9·1 answer
  • A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacin
    8·2 answers
  • Round 8.293 to the place named hundredths
    15·2 answers
  • If n and p are each different positive integers
    10·1 answer
  • Norma read a total of 90 books over 15 months. After belonging to the book club for 24 months, how many books will Norma have re
    6·2 answers
  • If 5x−4y=22 and 3x+6y=30, what is the value of x−5y
    15·1 answer
  • Zoe is a party planner. She orders cupcakes and sheet cakes from Creative Cakes whenever she needs beautiful cakes to serve. One
    6·1 answer
  • Jack and his partner went to a party where four other couples were present. Every person shook hands with everyone else (other t
    8·1 answer
  • Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!