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katrin2010 [14]
2 years ago
11

Jerome will also order t-shirt for the volunteers he will both adults and child sized t-shirt adults t-shirt are $5;and child t-

shirt are $2.50 Jerome need at least 200 adults t-shirt Jerome will send no more than $1500 on t-shirt write a system of inequality to model this situation use c for child t-shirt and a for adults t-shirt inequality 1________
Inequality 2_________
Mathematics
1 answer:
Daniel [21]2 years ago
3 0
<h3><u>The two inequalities are:</u></h3>

a\geq 200\\\\5a + 2.50c\leq 1500

<h3><u>Solution:</u></h3>

Let "a" be the number of adult sized t shirts

Let "c" be the number of child sized t shirts

Given that,

Each Adult sized t shirts = $ 5

Each child sized t shirts = $ 2.50

<h3><u>Jerome need at least 200 adults t-shirt</u></h3>

Therefore,

a\geq 200

Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts

<h3><u>Jerome will spend no more than $1500 on t-shirt</u></h3>

Therefore,

5a + 2.50c\leq 1500

Here we used, "less than or equal to" symbol, since he will not spend more than 1500

Thus the two inequalities are found

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Glurpina is a polymorph alien and can grow extra limbs.

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Your sister is getting married this summer and she has asked you to help her select a D.J.
ioda
So Dave charges 150 at first and then 10.50 per each hour, so if your sister has the party going for say "h" hours, then his total charges will then be 150 + 10.5h.

now, Marvin's Mobile Music charges 135 at first, but then is more expensive per hour is 15 bucks per each hour, so if she has a party for "h" hours, then his total charges are 135 + 15h.

now, let's check when they're both equal, at how many hours will they cost your sister the same amount.

\bf 150+10.50h=135+15h\implies 150-135=15h-10.5h&#10;\\\\\\&#10;15=4.5h\implies 15=4\frac{1}{2}h\implies 15=\cfrac{9}{2}h\implies \cfrac{15}{\frac{9}{2}}=h\implies \cfrac{\frac{15}{1}}{\frac{9}{2}}=h&#10;\\\\\\&#10;\cfrac{15}{1}\cdot \cfrac{2}{9}=h\implies \cfrac{30}{9}=h\implies \cfrac{10}{3}=h\implies 3\frac{1}{3}=h

so, 3 and a third of a hour, or 3 hours and 20 minutes, they both will cost your sister the same amount, so it wouldn't matter who's hired if the party is only 3 hours and 20 minutes long.

however, after that, the one with higher hourly rate, Marvin's, gets more expensive, and she's better off hiring the one with cheaper hourly rate.

now, you can just get some mp3s and some loud speakers and nevermind the  DJs and you do it, or she can do it, I have the macarena song if you need that one.
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