Answer:
-6g + 36 = 12
36 = 12 + 6g
24 = 6g
4 = g
g = 4
Step-by-step explanation:
Answer:
Hence 48 outfits can Bill create with the clothes he purchased.
Step-by-step explanation:
Now the given are,
8 shirts,
4 pairs of shorts,
2 pairs of pants.
Here we have to find the outfits can Bill create with the clothes he purchased:
8 * (4+2) = 48.
2/9 then 1/4 and then 4/12
Answer:
Step-by-step explanation:
equation of a line
y - y1 = m(x -x1)
where (x1, y1) is a point on the line and m is the slope
since it is parallel to the line 3x + y = -7, put in y = mx + b form to find the slope
y = -3x - 7, therefore m = -3
y - 1 = -3(x - 2)
Answer:
The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)
Step-by-step explanation:
Given
<em>Cylinder</em>
Radius = 3 inches
Height = 7 inches
<em>Sphere</em>
Radius = 3 inches
Required
The difference in the amount of wax needed to make a candle from each of these molds
The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds
The volume of a cylinder is calculated using
<em>V₁ = πr²h</em>
where r and h are the radius and the height of the cylinder, respectively.
r = 3 in and h = 7 in
The volume of a sphere is calculated using

where r is the radius of the sphere
r = 3 in
Calculating V₁
V₁ = πr²h
V₁ = π * 3² * 7
V₁ = π * 9 * 7
V₁ = π * 63
V₁ = 63π
Calculating V₂




V₂ = 36π
Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.
Difference = V₁ - V₂
Substituting 63π for V₁ and 36π for V₂
Difference = 63π - 36π
Difference = 27π
<em>(Taking π = 3.14)</em>
Difference = 27 * 3.14
Difference = 84.78
Hence, difference in the amount of wax needed is 84.78 in³