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Mathematics 20 Online
OpenStudy (anonymous):

WILL FAN + MEDAL FOR 5 QUESTIONS!!!!

OpenStudy (anonymous):

Which inequality models this problem? The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width?

OpenStudy (anonymous):

@ParthKohli @mathmate @UnkleRhaukus

OpenStudy (anonymous):

@UnkleRhaukus please help!

OpenStudy (anonymous):

My choice is D 2w + 2 • (3w) ≥112 2w + 2 • (3w) < 112 2w + 2 • (3w) > 112 2w + 2 • (3w) ≤112

OpenStudy (unklerhaukus):

what is a formula for the perimeter of a rectangle ? ( in term of length l, and width w)

OpenStudy (anonymous):

No we dont have to solve it

OpenStudy (anonymous):

We need to make/find the inequality

OpenStudy (unklerhaukus):

The perimeter is \[P = \ell+w+\ell+w = 2\ell + 2w\]

OpenStudy (unklerhaukus):

right ?

OpenStudy (anonymous):

Am I right???? I think its D because at most is < with _ under it

OpenStudy (unklerhaukus):

hmm, that is a short cut yes

OpenStudy (anonymous):

Well ueah but I have done the problem and I got D! Also like i said....... The at most sign is < with _ under it

OpenStudy (unklerhaukus):

yeah

OpenStudy (anonymous):

Ok so am I right?

OpenStudy (unklerhaukus):

yes, yeah, maybe. YES

OpenStudy (anonymous):

Really dude come on!

OpenStudy (anonymous):

Yes or No!

OpenStudy (unklerhaukus):

As you say, the only difference between the options is the inequality sign, and ` ≤ ` is the same as ` at most `

OpenStudy (anonymous):

Which inequality models this problem? Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?

OpenStudy (unklerhaukus):

is this another multiple-choice, where the options are the same up unto the inequality sign?

OpenStudy (unklerhaukus):

Yes / No / Maybe ?

OpenStudy (anonymous):

300w > 7500 + 850w 850w > 7500 + 300w 850w < 7500 + 300w 850w ≥ 7500 + 300w

OpenStudy (anonymous):

The choices

OpenStudy (unklerhaukus):

consider the weekly profit : sales - expenses how many week do you need to for the profit weekly profit * weeks to be greater than the cost of the merchandise

OpenStudy (anonymous):

My choice is A

OpenStudy (unklerhaukus):

Consider, if A were true, would Eduardo ever turn a profit on the business?

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

how many weeks (w), do you think?

OpenStudy (anonymous):

15

OpenStudy (unklerhaukus):

let's check A: 300w > 7500 + 850w ? 300(15) > 7500 + 850(15) ? 4500 > 7500 + 12750 ? 4500 > 20250 ?

OpenStudy (anonymous):

Well how would we get the inequality

OpenStudy (unklerhaukus):

consider the weekly profit : sales - expenses how many week do you need for the profit: weekly profit * weeks to be greater than the cost of the merchandise (sales - expenses)weeks > merchandise

OpenStudy (anonymous):

C then

OpenStudy (unklerhaukus):

(sales - expenses)weeks > merchandise (sales)weeks - (expenses)weeks > merchandise (sales)w - (expenses)w > merchandise

OpenStudy (anonymous):

B????? Dude, the 300 is at the end

OpenStudy (unklerhaukus):

how did they get get the + 300w as the last term on most of the options

OpenStudy (anonymous):

ok I really dont understand

OpenStudy (unklerhaukus):

(sales)w - (expenses)w > merchandise (sales)w > merchandise + (expenses)w

OpenStudy (unklerhaukus):

expenses, right?

OpenStudy (anonymous):

So it is B

OpenStudy (anonymous):

Well am i right?

OpenStudy (unklerhaukus):

how many weeks does that correspond to?

OpenStudy (anonymous):

8?

OpenStudy (anonymous):

What do we have to do to solve it?

OpenStudy (unklerhaukus):

let's check B: 850w > 7500 + 300w 850(8) > 7500 + 300(8) ? 6800 > 7500 + 2400 ?

OpenStudy (anonymous):

So its B??

OpenStudy (anonymous):

Dude you litterally going around everything....

OpenStudy (unklerhaukus):

is 6800 > 7500 + 2400 ? is 6800 > 9900 ?

OpenStudy (unklerhaukus):

Where did you get the figure of 8 weeks from ?

OpenStudy (anonymous):

6800>9900+12300

OpenStudy (unklerhaukus):

um

OpenStudy (anonymous):

um what?

OpenStudy (unklerhaukus):

|dw:1443617828799:dw|

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