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
liberstina [14]
3 years ago
6

Rachel collected 56 rocks at the beach. She is placing them into bags to give to her friends. She says that if she puts 4 rocks

in each bags, she will have 16 rocks left after she makes 10 bags. Is she correct
Mathematics
2 answers:
svlad2 [7]3 years ago
7 0
Yes. 4 x 10 is 40. 56 - 40 is 16.
borishaifa [10]3 years ago
4 0
Yes, she is correct

4 x 10 = 40

56 - 40 = 16

You might be interested in
A real estate agent works on 7% commission. What is her commission on a house that she sold for $210,600?
loris [4]
To find how much the real estate agent made, we must multiply the two. 
Note: It is crucial that you put 7% as a decimal. 

210600*0.07= 14742

Therefore, the real estate agent made $14,742

Hope this helps!
8 0
3 years ago
PLEASE HELP ME OUT!!!
igor_vitrenko [27]
Well, first, the equation that you are looking for is Y = MX + B. To find B, look at the first dot on the Y-axis. It starts at positive 3, so, you know your equation will end with +3. Next, to find MX, start at the either dot, and find the Rise/Run. In this particular equation, the rise is 1, and, the run is -2, because it's going backwards (negative line). Meaning, the line's equation would be, f( x )= -1/2x + 3.
5 0
3 years ago
Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
Is 1 Greater then -4
Nikitich [7]

Answer:

Yes 1 is greater than -4

Step-by-step explanation:

5 0
3 years ago
Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.
Taya2010 [7]
So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind
4 0
3 years ago
Read 2 more answers
Other questions:
  • A box has dimensions of 14 inches long 1.5 feet wide and 7 inches high what is the volume of the box the formula for the volume
    7·2 answers
  • Help please! Please put the answers numbered!
    13·1 answer
  • The surface area of a square pyramid is found using the formula SA=b^2+2bh, where b is the length of the base and h is the heigh
    13·1 answer
  • The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
    5·1 answer
  • How do you divide -1 by 4?​
    15·2 answers
  • How many permutations are there of the letters in the following​ word, if all the letters are used without​ repetition?
    8·1 answer
  • What is the volume of the sphere of 6 feet
    9·1 answer
  • Need somebody that’s at mathematics. put your social media name below!
    11·1 answer
  • If the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?​
    10·1 answer
  • Coach Kirby is forming dodgeball teams from students in her physical education class.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!