Okay. So for this equation, she would make $60, plus $5.25 in tips each hour. So for this, she would get $60 + 5.25h. Plug in 4 hours, and she would make $21 off of tips, plus the $60, which brings her up to $81 total. The answer is C.
Answer:
y = 6
Step-by-step explanation:
If x varies inversely proportional as y.
, k is constant of proportionality
or
k = xy
When x = 3 and y = 10
k = 3×10
k = 30
Put x = 5,
So, the value of y is 6 when x is 5.
The inequality statement, “An inequality for y greater than or equal to 4” can be written as:
y ≥ 4
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Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
