As the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, it shows that this is not a proportional relationship.
What is a proportional relationship?
Proportional relationships can be described as relationships between two variables that have equivalent ratios.
The ratio of Adalynn that planted 20 peach trees over 400 feet can be expressed as follows:
20:400
Divide through by 400, we have:
0.050:1
The ratio of Dwight that planted 18 plum trees over 270 feet can be expressed as follows:
Divide through by 270, we have:
0.067:1
Since the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, this implies that this is not a proportional relationship.
Learn more about the proportional relationship here: brainly.com/question/12917806.
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For the first part, in the question, it is given that , Joey pays $672 per year in insurance .
And 1 year = 12 months.
It means, Joey pays $672 for 12 months in insurance .
So his monthly budget should be
Correct option is C .
In the second part, it is given that, The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to 17 years, given the household's annual income, x .
So when annual income ,x, is 54000, we will get
470 = 8.75(46 - c) + 11c
470 = 402.5 - 8.75c + 11c
67.5 = 2.25c
30 = c
If c = 30 and Soren worked 30 hours in the office, earning $11 per hour, he earns $330 from his office job. 46 - 30 = 16, which should be the remaining amount of hours Soren worked. 16 * 8.75 = 140. He earned $140 from his cashier job. $330 + $140 = $470.
The correct formula to solve this problem is A. 11c + 8.75(46 - c) = 470
Answer:
Step-by-step explanation:
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
First put it into general form by setting the equation to zero and moving all variables to one side.
x^2 + 11y + y^2 -3x + 11 = 5x +23 - y
+y -5x -11 -11
x^2 + y^2 - 8x + 12y = 12
Then solve by completing the square
x^2 - 8x y^2 + 12y = 12
(x - )^2 + (y + )^2 =
Half of 8 is 4
Then square 4 to get 16
Therefore, we plug the 4 into the first parentheses
x^2 - 8x + 16 + y^2 + 12y =12 +16
(x - 4)^2 + (y + )^2 =
Half of 12 is 6
Squared, that would be 36
plug this into the second parentheses
x^2 - 8x + 16 + y^2 +12y + 36 = 12 + 16 + 36
(x - 4)^2 + (y + 6)^2 =
12 + 16 = 28 + 36 = 64
Therefore, the equation of the circle is: (x - 4)^2 + (y + 6)^2 = 64
Which is option D
