The starting equation is
100=S+D+K
S is for Sarah, D is for Dave, and K is for Kate
This is what we know:
S=15+D
and
K=D-5
Now that we know how to find the values of everything, we must plug it in.
100=(15+D)+D+(D-5)
Combine like terms.
100=10+3D
Subtract 10 to isolate variable.
90=3D
Divide by 3 to isolate variable.
30=D
Plug in number to find the answers.
Answer:
Sarah worked for 45 hours
Dave worked for 30 hours
Kate worked for 25 hours
X:-2,-1,0,1,2
<span>y: 7,4,1,-2,-5</span>
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
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:

, where r = magnitude and
= angle .
As per given,


Consider

Hence, the correct option is <8.01, 5.60>.
Answer:
(- 3, 4)
Step-by-step explanation:
given the 2 equations
2x - y = - 10 → (1)
y = 4 → (2)
Substitute y = 4 into (1) and solve for x
2x - 4 = - 10 ( add 4 to both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
solution is (- 3, 4 )