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
gladu [14]
3 years ago
7

Convert the decimal expansion 0.31717 to a fraction. A) 133/455 B) 157/495 C) 52/165 D) 99/166

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0
The decimal expansion of 0.31717 is an infinite number with the 17 repeating.

Let the given decimal = X, so we have X = 0.31717 ( 1st equation)

Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)

Subtract the 1st equation from the 2nd equation:

100x = 31.1717 - x = 0.31717 = 99x = 31.4

Divide both sides by 99:
X = 31.4 / 99

Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990

Divide both numbers by 2 to get the final answer of 157 / 495

The answer is B.

You might be interested in
The ratio of Isabella's money to Shane's money is 3:11. If Isabella has $33, how much money do Shane and Isabella have together?
Sergio039 [100]
The ratio of Isabella’s money to Shane’s money is 3:11

Isabella has $33.   

We can make a proportion to solve for how much money Shane has.   
A proportion is two ratios that are set equal to each other.  

Let’s call Shane’s money ‘S’   

We get this proportion:   3/11 = 33/x   

If we cross multiply we get:   
(33) * (11) = (3) * (x)   

Simplifying it, we get:
363 = (3) * (x)   

Divide both sides by 3, we get:
x = 121   

However, the question asks how much money they have together. 

Isabella + Shane = Total
33 + 121 = $154   

<span>They have $154 together.</span>
6 0
3 years ago
Read 2 more answers
An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now?
kolbaska11 [484]

Answer:

floor 14

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The equation below shows the relationship between the number of apples purchased, a, and the total cost
inessss [21]

Answer:

C

Step-by-step explanation:

a (5) = c (4)

5 x 4 = 20

20 (total) divided by the 5 apples is $4.

6 0
3 years ago
Read 2 more answers
Please people i will give you lots of points and please give me the correct answer
cupoosta [38]

Answer:

15

Step-by-step explanation:

30 subtract 15 = 15 and both the 10 and the other 10 are the same

5 0
3 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height = \frac{10}{4}

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

For, A to be greatest ,

\frac{dA}{dh} =0 = 10h-4h^{3}

⇒ h[10-4h^{2} ]=0

⇒ h^{2} =\frac{10}{4} {Since, h≠ 0}

⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

⇒ k=5-\frac{10}{4} =\frac{10}{4}

Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

8 0
3 years ago
Other questions:
  • Please answer my question now in two minutes
    14·1 answer
  • I need help figuring out angle 1
    15·1 answer
  • (2 thousands 7 tens )÷10 in unit form and standard form is what?
    6·2 answers
  • PLEASE HELP!!!
    14·2 answers
  • Nola purchased 2.5 pounds of cheese for 10.50. Her mother purchased 3pounds of the same cheese for$12.60. The cost of cheese var
    8·1 answer
  • a door with width 4.20 m has an arc as shown in diagram .Find: a) radius of the arc B) length of the arc to the nearest cm
    13·1 answer
  • Bob earns $1,825 per month as a clerk at Elm City Sporting Goods. How much does he earn in a year? Explain how you got your answ
    5·1 answer
  • Each big square below represents one whole.
    8·1 answer
  • Pls help, quick!
    12·1 answer
  • I just need the edges, correct answer gets brainliest
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!