Step-by-step explanation:
2/3 lost is 1/3 kept
2/3 of the 1/3 kept is 2/9 lost
1/3 x - 2/9 x = 4
3/9 x - 2/9 x = 4
1/9 x = 4
x = 36
First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.
The solutions of the equations for x are given as follows:
a. x = 36.
b. x = 15.
<h3>What is the solution for item a?</h3>
The equation for item a is given by:
x/3 - 5 = 7
Isolating x, we have that:
x/3 = 12
x = 3 x 12
x = 36.
<h3>What is the solution for item b?</h3>
The equation for item b is given by:
x/2 - 5 = 2.5
Isolating x, we have that:
x/2 = 7.5
x = 7.5 x 2
x = 15.
Hence the solutions are:
a. x = 36.
b. x = 15.
More can be learned about equations at brainly.com/question/25537936
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Selections B and D both appear to be appropriate.
B) (x+8)² + (y+5)² = 13
D) (x+8)² + (y+5)² = 13
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The center is at the midpoint of the diameter, ((-10-6)/2, (-8-2)/2) = (-8, -5). For center (h, k) and radius r, the equation is
(x -h)² +(y -k)² = r²
(x -(-8))² +(y -(-5))² = (√13)²
(x+8)² + (y+5)² = 13
7.5 gallons. (5x60)/40 5x60 being the equation to find the total miles driven
The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.
