To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
Answer:
the desired equation is y = (-1/3)x + 6
Step-by-step explanation:
Let the given line be A: y=3x+2
The slope of line A is m = 3.
The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A: m = -(1/3).
The particular perpendicular line that passes through (3, 5) is then
5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.
Thus, the desired equation is y = (-1/3)x + 6
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
