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2 years ago

14

Suppose that Zooter considers producing 400 Razor scooters and 800 Navajo scooters. What is the objective function value, in $,

corresponding to this solution

1 answer:

qwelly [4]2 years ago

3 0

Answer: $Z= 400x+800y$

Step-by-step explanation:

Let x be the price of Razor scooters and y be the price of Navajo scooters.

Given : Zooter considers producing 400 Razor scooters and 800 Navajo scooters.

Then, the objective function value, in $, corresponding to this solution would be :

Z = (Number of Razor scooters) x (price of Razor scooters) + (Number of Navajo scooters) x (price of Navajo scooters)

i.e. Z = 400x + 800y

Hence, the required objective function value, in $ would be :

$Z= 400x+800y$

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If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50

Fed [463]

Lets use the formula $RWT=J$ to solve this, where,

R is the rate
W is the number of workers/things
T is time
J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

$R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1$

<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use $R=0.1$ (previously found) to figure out T.</em>

<em> $RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10$ </em>

So it will take 10 seconds for 50 printers to print 50 pages.

ANSWER: 10 seconds

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2 years ago

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Sophie did an anyonymous survey and collected her friends' credit scores. the scores she found are listed in the table below. wh

MrRissso [65]

To find the mean of the data, you will combine all values together and then spread them all out evenly to create one value that represents the data.

In math this involves adding the data together and then dividing the sum by how many pieces of data there are.

682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

Mrac [35]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have $DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute $A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

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2 years ago

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Illusion [34]

Answer:

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Step-by-step explanation:

Compound Interest Formula

$A=P(1+\frac{r}{n} )^{nt}$

A = final amount

P = initial investment

r = interest rate

n = number of times the rate is applied during a time period

t = number of times the time period has elapsed

$A=8100(1+\frac{.072}{1} )^{(1)(7)} \\A=8100(1.072)^{7}\\ A=8100*(1.626909883)\\A=13177.97006$

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2 years ago

Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hours at $3.75 an hour. He is now working at a job

Nikitich [7]

Step-by-step explanation:

amount left for the money to reach $40

=40-3.75

=36.25

using a method of proportion,

If $4 : 1 hour,then

$36.25 : ?

if more, less divides.

= 36.25 / 4 ×1

=36.25/4

=9.0625 approximately 9 hours

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2 years ago