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Ganezh [65]
3 years ago
9

A boat starts in Wilmington and sails 5 miles due east and then 3 miles due south. What is the approximate shortest distance bac

k to Wilmington?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

I would say approximately 5.8 miles

Step-by-step explanation:

(This answer may be wrong)

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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
Fittoniya [83]

Answer:

(a)

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

8r+12y\geq 120

The system of inequalities that represent this problem is therefore:

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

  • (5,10)
  • (5, 6.7)
  • (15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

  • At (5,10), Earning=(5X8)+(10X12)=40+120=$160
  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0
3 years ago
25x^4-34x^2y^2+9y^4<br><br>​
garri49 [273]

Answer:

sorry I don't know the answer

Step-by-step explanation:

i will get some points that's why sorry

7 0
3 years ago
When A is divided by the sum of a certain number and 10, the result is the same as dividing 3 by the sum of that number and 4 .
tensa zangetsu [6.8K]

When A is divided: A /

By the sum of a certain number and 10: (n + 10)

When A is divided by the sum of a certain number and 10: A / (n + 10)

The result is the same as: =

Dividing 3: 3 /

By the sum of that number and 4: (n + 4)

The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).

Final Equation: A / (n + 10) = 3 / (n + 4)

To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.

3(n + 10) = A(n + 4)

3n + 30 = An + 4A

30 - 4A = An - 3n

30 - 4A = n(A - 3)

n = (30 - 4A) / (A - 3)

If you know the value of A, then please plug it in to the value for n given above.

Hope this helps!

5 0
1 year ago
Read 2 more answers
What is the radius of a circle that has a diameter of 34<br> inches?
Zepler [3.9K]

Answer:

17 !!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

34 ÷ 2

7 0
3 years ago
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The question is in the attachment.<br> Please answer
maria [59]
The guy on top is correct
4 0
2 years ago
Read 2 more answers
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