All categories

2 years ago

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

2 answers:

7 0

To figure this out, we must divide the amount of pounds of paper they use in one week by the amount of pounds of paper in each package.

478 / 18 = 26.555556

So there's your answer, 26.5 packages.

Hope this helps! :)

Lana71 [14]2 years ago

4 0

They use about 26.56 packages of paper in a week.

You might be interested in

Mr and Mrs Smith buy tickets for themselves and their four children.

Aneli [31]

The cost of an adult ticket is £6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
Therefore the cost of a child's ticket (c) is £4.75 and the cost of an adult ticket (c+6) is £10.75.

4 0

2 years ago

The telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its la

cluponka [151]

Answer:

x = 31 hundred dolars and

y = 91/2 = 45.5 hundred dolars

Step-by-step explanation:

Given

R(x) = (40−8x+5y)*x + (50+9x−7y)*y

C(x) = (40−8x+5y)*10 + (50+9x−7y)*29

We can use the equation

P(x) = R(x) - C(x)

where

P(x) is the profit

R(x) is the revenue

and C(x) is the costs

In order to maximize the telephone company's profit, we apply

P'(x) = R(x)' - C(x)' = 0

⇒ R(x)' = ((40−8x+5y)*x + (50+9x−7y)*y)' = (40x-8x²+14xy+50y-7y²)'

⇒ C(x)' = ((40−8x+5y)*10 + (50+9x−7y)*29)' = (1850+181x-153y)'

⇒ P'(x) = -8x²-7y²-141x+203y+14xy-1850

The first-order partial derivatives of these functions are

Px(x,y) = -16x-141+14y

Py(x,y) = -14y+203+14x

Setting these equal to zero and solving we obtain:

-16x+14y-141 = 0

14x-14y+203=0

we get the solution

x = 31 and y = 91/2 = 45.5

Finally, the company should produce 3100 units of the first system, and 4550 units of the second system.

8 0

2 years ago

The endpoints of (line segment )AB are A(2, 2) and B(3, 8). (line segment ) AB is dilated by a scale factor of 3.5 with the orig

horrorfan [7]

The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29

5 0

2 years ago

Read 2 more answers

The exhaust system of an automobile is first given an emission check and then given a vibration check. The result of an emission

Andre45 [30]

Answer:

Step-by-step explanation:

The sample space is known to be the set of all possible outcomes of an experiment we cannot predict its outcome while the event space showcases the subset of the sample space, this may be a collection of outcomes of a random experiment.

From the given information:

The sample space = {SH, SL, SN, MH, ML, MN,UH, UL, UN}

The event that the emissions check is satisfactory = {SH, SL, SN}

8 0

1 year ago

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an

vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years