Answer:
d = 
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = 
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = 
A manufacturing company has the following fixed monthly costs and unit variable costs:
Rent = $2,200
Utilities = $375
Variable costs for materials and assembly = $13.25/unit
Monthly labor = $750
Given is the product is sold at $24.99 per unit
Let the number of units sold be x
Adding total cost = 
Equation becomes:


x= 283.21
So, rounding it to nearest whole number we get, 283 units.
Answer:
#3
Step-by-step explanation:
It implies that Douglass and his siblings nearly forgot about their early lives.
Answer:
2x - y = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 2) into the partial equation
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation in slope- intercept form
Subtract y from both sides
0 = 2x - y , that is
2x - y = 0 ← equation in standard form
Answer:
c) 1/3
Step-by-step explanation:
since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3