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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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Find the area of the shaded region
nexus9112 [7]

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

6 0
2 years ago
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0
2 years ago
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scZoUnD [109]

The amount of water decreases 16\frac{1}{2} pints in 12 weeks.

Solution:

The amount of water decreases in 7 weeks = 9\frac{5}{8} pints

The amount of water decreases each week is same.

Let us first change the mixed fraction into improper fraction.

9\frac{5}{8} pints = \frac{(9\times8)+5}{8}

             =\frac{77}{8} pints

The amount of water decreases in 1 week

              $=\frac{\frac{77}{8} }{7}

              =\frac{77}{8\times7}

              =\frac{11}{8}

So, the amount of water decreases in 1 week is \frac{11}{8} pints.

The amount of water decreases in 12 week

               =\frac{11}{8}\times12

               =\frac{132}{8}

               =16\frac{4}{8}

               =16\frac{1}{2} pints

Hence the amount of water decreases 16\frac{1}{2} pints in 12 weeks.

4 0
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