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
timurjin [86]
3 years ago
6

An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages

of paper does the office use each week?
Mathematics
1 answer:
ddd [48]3 years ago
7 0
To solve this, you would divide 478 by 18, which equals 26.5555556. Since you can't have half a package of paper, the answer would be 26. Hope this helps!
You might be interested in
Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive
Ivan

Answer:

(a) The average cost function is \bar{C}(x)=95+\frac{230000}{x}

(b) The marginal average cost function is \bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose C(x) is a total cost function. Then the average cost function, denoted by \bar{C}(x), is

\frac{C(x)}{x}

We know that the total cost for making x units of their Senior Executive model is given by the function

C(x) = 95x + 230000

The average cost function is

\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}

(b) The derivative \bar{C}'(x) of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95

6 0
3 years ago
Which equation represents the function graphed above?
8_murik_8 [283]

Answer:

o.4 and 3.4

Step-by-step explanation:

eye ballss

3 0
3 years ago
What is the factored form of x^2 - 4x - 5?
ser-zykov [4K]

we are given

x^2-4x-5

we can use formula

x^2-(a+b)x+ab=(x-a)(x-b)

so, we have

a+b=4

ab=-5

now, we can solve for a and b

and we get

a=5, b=-1

now, we can plug it in formula

x^2-4x-5=(x-5)(x+1) ............Answer

4 0
3 years ago
PLEASE HELP!! I'll make brainliest ​
Gekata [30.6K]
Sorry people send you links instead of actually helping you
5 0
3 years ago
Evaluate. 1. for x=-3 and y=2
Sveta_85 [38]
<h3>Given:</h3>

X = - 3

Y = 2

2^ x^ y^

=2^ (-3)^ (2)^

= (-6)^(2)

<h3>= -12</h3>
3 0
2 years ago
Other questions:
  • Which situation is best represented by the following equation?
    9·2 answers
  • You are told that having a college education increases a person's earnings by 30% over their lifetime. A non-college graduate ea
    13·2 answers
  • A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are
    14·1 answer
  • 14/N = 7/4 , what is n
    8·1 answer
  • AKAJAXOSPAPXODAOAPA HELP
    9·1 answer
  • Write an equation in point-slope form of the line that passes through the given point and with the given
    6·1 answer
  • 1<br> Select all of the true statements about the two triangles shown below.
    12·1 answer
  • What is 2/6 times 1/6
    6·2 answers
  • What is the mDEF? plz help
    5·1 answer
  • What is the simplified form of<br> 3+2−14−24<br> −4<br> when x ≠ 4?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!