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
Blizzard [7]
3 years ago
14

Frank has a sheet of paper which is 1/624 inch thick. If the sheet is folded in half, the total thickness will be 1/312 inch A s

econd fold will produce a total thickness of 1/156 inch. What will be the thickness of the sheet if Frank folds it 8 times?
Mathematics
2 answers:
netineya [11]3 years ago
8 0

Answer:

The thickness of the sheet will be 16/39 inch after folded 8 times

Step-by-step explanation:

* Lets explain how to solve the problem

- Frank has a sheet of paper of 1/624 inch thick

- The sheet is folded in half, the total thickness is 1/312 inch

- The sheet folded in half again and the total thickness is 1/156 inch

- We need to know the thickness of the sheet after folded 8 times

∵ The 1st thickness is 1/624 inches

∵ The 2nd thickness is 1/312 inch ⇒ after 1st fold

∵ The 3rd thickness is 1/156 inch⇒ after 2nd fold

∵ 1/312 ÷ 1/624 = 2

∵ 1/156 ÷ 1/312 = 2

∴ There is a common ratio 2 between each two fold

∴ The thicknesses of the sheet after each fold formed a

   geometric series

∵ Any term of the geometric series is a_{n}=a(r)^{n-1}, where

  a is the first term, r is the ratio between each two consecutive

  terms and n is the position of the term

∵ a = 1/312 because it is the thickness of the 1st fold

∵ r = 2 , n = 8

∴ a_{8}=\frac{1}{312}(2)^{8-1}=\frac{16}{39}

∴ The thickness of the sheet will be 16/39 inch after fold 8 times

Leya [2.2K]3 years ago
6 0

Answer:0.41 in

Step-by-step explanation:

You might be interested in
|2/3-3/2|3^2-17/3 a)11/16 b)11/6 c)79/6 d)83/6
vfiekz [6]

Answer:  The correct answer is:  [B]:  

____________________________________

                  →   " \frac{11}{6} " .

____________________________________________

Explanation:  

We are asked to solve:   |2/3-3/2|3^2-17/3  ;  

Let's rewrite this problem as:  

____________________________________________

Simplify:

 "  | \frac{2}{3} - \frac{3}{2} | * 3^{2} - \frac{17}{3} |  " ;

____________________________________________

7 0
3 years ago
Oliver has three green balls, two red balls , five yellows balls , and four orange balls in a bucket . He randomly chooses one b
Debora [2.8K]

Answer:

The probability that he chooses a yellow ball is 5/14. If he removes all the orange balls, the probability that he will choose a red ball is 2/10.

Step-by-step explanation:

Simple logic.

7 0
3 years ago
Someone please help I really appreciate it
Alex_Xolod [135]
So you have to find the relationship between the pumpkin diameter (y) and the number of weeks passed (x) in a table, lets do it taking into account that the equation modeling such behaviour is:
y = 2x + 6, where x is the number of weeks and plus original 6 cm
x                                y                            
week                         diameter
0                                6
1                                8
3                                12
5                                16
10                               26
substitute the x and y values in the equation to see how they fit into it
5 0
2 years ago
Read 2 more answers
A local ski resort is open for 13 weeks in the winter. Write a fraction in simplest form that represents the fraction of the yea
Rudiy27
The ski resort is open 13/52 weeks out of the year
4 0
3 years ago
0.08 is 10 times as great
Vlad [161]

Answer: 0.08 is 10 times as great as 0.008

Step-by-step explanation: 0.008 x 10 = 0.08

7 0
2 years ago
Read 2 more answers
Other questions:
  • 1.all real numbers that are less than -3 or greater than or equal to 5
    9·2 answers
  • What is the volume of the cone? Use 3.14 for π. Round your answer to the nearest hundredth. radius-3m - height7m
    6·1 answer
  • This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π . Enter your answ
    14·2 answers
  • suppose a parabola has a vertex of (-4 7) and also passes through the point (-3,8). what is the equation of the parabola in vert
    9·2 answers
  • How do I solve this?!
    15·1 answer
  • If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcome
    12·1 answer
  • Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430
    11·2 answers
  • Can someone help me on this please
    5·2 answers
  • What is the equation of the circle shown below?​
    15·1 answer
  • So if bob spilt 5.9 milk in a cup how much milk does he have
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!