The two lines are perpendicular since y = -6 represents a horizontal line characterized by a slope of 0, while x = 6 depicts a vertical line with an undefined slope.
Response:
Step-by-step explanation:
Given data:
Annual cost for members: 
Required:
Calculate the yearly expense for non-members
From the context, we infer that:
A non-member pays $0.20 per game;
Annual cost can be determined using the formula;
y = Amount * Number of Games
Where:
Amount = $0.2, Number of Games = x
Convert 0.2 to a fraction:
Divide the numerator and denominator by 2:
Therefore, the yearly expense for non-members is
Determining the answer here is quite straightforward. Ella has a total of $2.16, and we need to ascertain the cost per piece of gum.
It is known that if the gum cost one cent less, she would have acquired three more pieces.
Currently, with 8 pieces priced at 27 cents each, a reduced price would allow her to have 8.64 pieces. This outcome, even after rounding, is incorrect as it does not yield 11.
For 9 pieces at 24 cents each, a cheaper price would mean she could have 9.39 pieces, which still does not round to 12, indicating it's incorrect.
At 16 pieces costing 13.5 cents each, at one cent less, she would acquire 17.28 pieces, which also confirms it's wrong because rounding does not yield 19.
When purchasing 24 pieces at 9 cents each, with the cheaper price, she could buy 27 pieces, which is valid since 27-24 equals 3.
Therefore, the correct answer is D) 24
Response:
The monthly income of Kim's business is $10,000.
Every month, Kim spends $3,000 on non-employee costs.
To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:
10000 - 3000 - 2000 = 5000
With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.
Hope this is useful
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The solution encompasses all real numbers. Detailed explanation: To solve a system of equations by elimination, from the given equation, you can derive y to obtain y = x - 6. Substituting this back leads to x - 5(y) = 6, eventually arriving at 6 = 6, thus indicating a solution of all real numbers.
