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hoa [83]
3 years ago
6

What are three equivalent ratios to 18/6

Mathematics
2 answers:
gayaneshka [121]3 years ago
6 0
These could be be some of the answers to the problem. 6:3, 12:6, and 36:18
Daniel [21]3 years ago
4 0
Well 3 = ratios to 18/6 would be 36/12, 9/3 and 48/18 I hope I helped!;3
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Answer:

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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.

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Which of the following options have the same value as 96% of 25?
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A and B are correct because 96/100 is equivalent to 0.96, which is also 96%.
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