$1.75 would be the answer
Answer:
x = - 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square
Given
x² + y² + 4x - 6y = b ( collect x and y terms together )
x² + 4x + y² - 6y = b
add ( half the coefficient of x/ y terms )² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = b + 4 + 9
(x + 2)² + (y - 3)² = b + 13 ← in standard form
with (h, k) = (- 2, 3)
Thus x- coordinate of centre is x = - 2
Answer:
270,000
Step-by-step explanation:
So, you have a number of people (15) that can stand comfortably within a certain area (5x8 ft = 40 sq feet). And you need to find out how many people can fit in the whole park area.
First step is to find out how big the park is, in square feet, so we can then evaluate the number of people that we can fit in.
You had the right number for calculating the area of the park:
A = 400 yards x 200 yards = 1,200 feet x 600 feet = 720,000 sq feet
Now, how many people can we fit in there? Let's use a simple cross-multiplication (x being the number of people fitting in the whole park, what we are looking for):
By isolating x, we have x = (720,000 * 15) / 40 = 10,800,000 / 40 = 270,000
So, the park could accommodate 270,000 people.
That is of course if there are no trees, no benches, no kids playground or any other infrastructure in the park.
Answer:
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Step-by-step explanation:
Answer:
$5.95
Step-by-step explanation:
Given :
Let containers = c ;Gallon of gas = g
2c + 8g = 38.06 - - - (1)
c + 3g = 15.76 - - - - (2)
From (2) :
c = 15.76 - 3g
2(15.76 - 3g) + 8g = 38.06
31.52 - 6g + 8g = 38.06
2g = 6.54
g = 6.54 / 2
g = 3.27
Recall :
c = 15.76 - 3g
c = 15.76 - 3(3.27)
c = 5.95