WILL FAN + MEDAL FOR 5 QUESTIONS!!!!

- anonymous

WILL FAN + MEDAL FOR 5 QUESTIONS!!!!

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- 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?

- anonymous

@ParthKohli @mathmate @UnkleRhaukus

- anonymous

@UnkleRhaukus please help!

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## More answers

- anonymous

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

- UnkleRhaukus

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

- anonymous

No we dont have to solve it

- anonymous

We need to make/find the inequality

- UnkleRhaukus

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

- UnkleRhaukus

right ?

- anonymous

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

- UnkleRhaukus

hmm, that is a short cut yes

- 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

- UnkleRhaukus

yeah

- anonymous

Ok so am I right?

- UnkleRhaukus

yes, yeah, maybe. YES

- anonymous

Really dude come on!

- anonymous

Yes or No!

- UnkleRhaukus

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

- 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?

- UnkleRhaukus

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

- UnkleRhaukus

Yes / No / Maybe ?

- anonymous

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

- anonymous

The choices

- 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

- anonymous

My choice is A

- UnkleRhaukus

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

- anonymous

yes

- UnkleRhaukus

how many weeks (w), do you think?

- anonymous

15

- UnkleRhaukus

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

- anonymous

Well how would we get the inequality

- 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

- anonymous

C then

- UnkleRhaukus

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

- anonymous

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

- UnkleRhaukus

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

- anonymous

ok I really dont understand

- UnkleRhaukus

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

- UnkleRhaukus

expenses, right?

- anonymous

So it is B

- anonymous

Well am i right?

- UnkleRhaukus

how many weeks does that correspond to?

- anonymous

8?

- anonymous

What do we have to do to solve it?

- UnkleRhaukus

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

- anonymous

So its B??

- anonymous

Dude you litterally going around everything....

- UnkleRhaukus

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

- UnkleRhaukus

Where did you get the figure of 8 weeks from ?

- anonymous

6800>9900+12300

- UnkleRhaukus

um

- anonymous

um what?

- UnkleRhaukus

|dw:1443617828799:dw|

- anonymous

Ok dude is it B or not!

- anonymous

Hello????

- anonymous

@UnkleRhaukus

- anonymous

hello??????????????????????????

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