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Inga [223]
3 years ago
14

Including the bus driver, there are 20 people on a bus. During a one-hour ride, each person produces 740 BTUs (British Thermal U

nits). The interior of the bus measures 38 feet by 8.25 feet by 7.5 feet. How many BTUs per cubic foot are produced? Enter your answer, rounded to the nearest hundredth, in the box.
Mathematics
2 answers:
Finger [1]3 years ago
8 0

740*20=14800

38*8.25*7.5=2351.25

14800/2351.25=6.294524189

Since the question requires you to round to the nearest hundredth, the answer would become 6.29.

nirvana33 [79]3 years ago
7 0
Alright, so this one is a bit tricky. 

You take your bus interior and multiply them all together to find the volume. 
     38 x 8.25 x 7.5 = 2,351.25
Now, you take your 740 BTU and divide by the amount of people (20)
     740/20 = 37
So now you divide your volume by the 37
     2351.25/37 = 63.55

63.55 f^3 is your answer. 
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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
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Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

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Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

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System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

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Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

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Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

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