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Zinaida [17]
3 years ago
6

Jamie wants to work no more than 30 hours per week at his two part-time jobs. The first job pays him $14 per hour and the second

job pays him $16 per hour. He must earn more than $250 per week to pay all of his bills. Which inequality models this situation?
A. x + y > 250; 14x + 16y ≤ 30
B. x + y < 30; 14x + 16y ≥ 250
C. x + y ≤ 30; 14x + 16y > 250
D. x + y ≥ 30; 14x + 16y < 250
Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Because the problem says he needs to earn MORE than 250 dollars a week, you need to have the greater than sign without the equal to underneath it. D is the only possible answer for this question for that reason.

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uranmaximum [27]

Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

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1 year ago
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Step-by-step explanation:

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