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
djyliett [7]
3 years ago
13

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

r has two​ logs, how many total logs are there in the​ pile?
Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

You might be interested in
What is another name for a relation that has each element in its domain paired with exactly one element in its range? Apex
8090 [49]
Another name for a relation is a function.
7 0
3 years ago
justin paid $1,185 in sales tax on her new car. The car cost $15,800 before taxes. What percent was the sales tax rate?
soldi70 [24.7K]

Answer:

The percentage is 7.5%

7 0
3 years ago
Does this represent quntitites that are proportional
Yuki888 [10]

Answer:

B

Step-by-step explanation:

Not all of the pairs represent the same ratio

6 0
1 year ago
Help me please !!!!!!!!!!!!!!
tensa zangetsu [6.8K]

Answer:

\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ in^3}

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have

r = (7 : 2) in = 3.5 in

H = 4 in

Substitute:

V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3

\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3

5 0
3 years ago
Xavier went to Gamer Realm to buy new video games. Gamer Realm was having a sale: $65 for video games. He bought games for himse
Llana [10]

Answer:

Step-by-step explanation:

65.00 + 65.00 = 130.00 - 65.00 = 65.00

6 0
2 years ago
Other questions:
  • What is the equation of the circle with center (5, -4) and radius 4?
    8·1 answer
  • Can you please help??
    5·2 answers
  • Solve for x.3-sqrt(x)=0 What is the root? If there is none, choose none. x = 3 x = 9 none
    6·1 answer
  • Which of the following is the graph of y=squareroot(-x-3)
    13·1 answer
  • Brian asked a group of people their favourite country . The results are summarised in the table. Destination UK Europe USA Afric
    6·2 answers
  • What are the ordered pairs of the solution?<br>2y+6&lt;8x<br>​
    8·1 answer
  • Does anyone know how to do this?
    9·2 answers
  • Please answer C and D please ! I would love you forever !!!!
    11·2 answers
  • Need help with my homework ​
    8·1 answer
  • Giving brainliest *easy*
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!