1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
Hello!
You can solve this algebraically
p + n = 115
p + 4.25n = 358.75
Subtract the two equations to eliminate p
-3.25n = -243.75
Divide both sides by -3.25
n = 75
Put n into the first equation
p + 75 = 115
Subtract 75 from both sides
p = 40
The answers are,
40 pounds of peanuts were sold
75 pounds of pecans were sold
Hope this helps!
Answer:
610 feet
Step-by-step explanation:
From the question :
1 scarf = 2.5 yards of yarn
84 scarves = x yards
Cross Multiply
1 scarf × x yards = 84 × 2.5 yards
x yards = 210 yards
Hence, 84 scarves require 210 yards
Converting yards to feet
1 yard = 3 feet
210 yards = x feet
x feet × 1 yard = 210 yards × 3 feet
x feet = 210 yards × 3 feet/1 yards
x feet = 610 feet
Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn
Answer:
52/145 ≈ 0.359 = 35.9%
Step-by-step explanation:
There are a total of 76+69 = 145 people in the room. Of them, 29+23 = 52 earn more than $50,000 per year. The probability of choosing one of those at random is 52/145 ≈ 0.35862 ≈ 35.9%.
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For all of these probability problems, the probability of selecting an item with particular characteristics is the ratio of the number of such items to the total number of possible choices.
