<span>x = number of entries
55x + 10000 - 15x ≥ 55000
First, subtract 10000 from each side
55x - 15x ≥ 45000
Now, we can combine 55x and 15x because they've both got the same variable attached
40x ≥ 45000
Now divide each side by 40 to isolate x (which is the number of entries)
x ≥ 1125
The race needs at least 1125 entries to raise at least $55,000.</span>
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 =
Squaring both sides of the given equation: w^2=7w, or w^2-7w=0.
w^2-7w=0 can be factored: w(w-7)=0. Then, w=7 or w=0. Both 0 and 7 are solutions of this equation.
He has $18 left (sorry im have to type 20 letterssss)
