So if you can do expressions with rational numbers, what is the answer to -½+-0.5?
1 answer:
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Answer:
(a)
(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.
Since she does yard work,
Lia’s parents allow her to work a maximum of 15 hours per week overall.
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:
The system of inequalities that represent this problem is therefore:
(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.
Answer:
Angle C ∠C = 160.49°
side b = 0.522 m
side a = 17.34 m
Step-by-step explanation:
Given that;
In a Δ ABC,
∠A = 18.95°
∠B = 0.56°
∠C = ???
side A = ???
side B = ???
side C = 17.83 m
We are to determine the unknown missing sides and the angle.
We know that, the sum of angles in a triangle = 180°
∴
∠A + ∠B + ∠C = 180°
18.95° + 0.56° + ∠C = 180°
∠C = 180° - 18.95° - 0.56°
∠C = 160.49°
Using sine rule to determine the unknown sides. The sine rule can be expressed as:
To determine side b, we have:
b = 0.522 m
For side a, we have
a = 17.34 m