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irina [24]
4 years ago
13

two trains leave stations 280 miles apart at the same time and travel toward each other. one train travels at 95miles per hour w

hile the other travels at 105miles per hour. how long will it take for the two trains to meet?
Mathematics
1 answer:
katrin2010 [14]4 years ago
3 0
Basiclaly, when will total distance equal distance they are apart
distance apart=280

distance=speed times time

assuming they travel sasme amount of time
time=t

distance=speed times time
d1=95 times t
d2=105 times t

total distance=d1+d2
280=d1+d2
280=95t+105t
280=200t
divide both sides by 200
1.4=t

answer is 1.4 hours or 84 mins
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Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

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The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

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 is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

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 ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

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3 years ago
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one
igor_vitrenko [27]

Answer:

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11/12 ÷ 1/3 = 2 3/4

Step-by-step explanation:

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Given:

11/12 ÷ 1/3

= 11/12 × 3/1

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= 2 9/12

= 2 3/4

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Answer:

Explained below.

Step-by-step explanation:

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Here,

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