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Alja [10]
3 years ago
8

the greatest volcanic eruption in recorded history took place in 1815 on the indonesian island of sumbawa, when the volcano tamb

ora expelled and estimated 100 cubic kilometers of molten rock. suppose all of the ejected material fell on a region with an area of 600 square kilometers. find the average depth of the resulting layers of ash and rock.
Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

166\frac{2}{3}\ m

Step-by-step explanation:

Let

x ----> the average depth of the resulting layers of ash and rock

we know that

To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.

so

\frac{100\ km^3}{600\ km^2}=\frac{1}{6}\ km

Convert to meters

Remember that

1\ km=1,000\ m

so

\frac{1}{6}\ km=\frac{1}{6}(1,000)=\frac{1,000}{6}=\frac{500}{3}\ m

Convert to mixed number

\frac{500}{3}\ m=\frac{498}{3}+\frac{2}{3}=166\frac{2}{3}\ m

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saul85 [17]

Answer:

  • $139
  • 9.5aa +3kk

Step-by-step explanation:

<h3>a)</h3>

8 adult tickets cost 8($9.50) = $76

21 kids tickets cost 21($3) = $63

The total cost of these tickets is $76 +63 = $139.

__

<h3>b)</h3>

aa adult tickets cost 9.50aa

kk kids tickets cost 3.00kk

The total cost of these tickets is 9.50aa +3.00kk.

_____

<em>Additional comment</em>

We ordinarily expect a variable to be a single letter. This problem statement defines each variable using a double letter, so that is what we have used. (Sometimes Brainly doubles up variable content in copied text, so we suspect that may have happened here.)

4 0
3 years ago
(12x 4 + 17x 3 + 8x - 40) ÷ (x + 2)
IrinaK [193]
(12x^4 + 17x^3 + 8x - 40) ÷ (x + 2)

<span> =<span><span>‌<span><span><span><span><span>12<span>x^4</span></span>+<span>17<span>x^3</span></span></span>+<span>8x</span></span>−40 / </span><span>x+2</span></span></span>‌</span></span><span> =<span><span>‌<span><span><span>(<span>x+2</span>)</span><span>(<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−20</span>) / </span></span><span>x+2</span></span></span>‌</span></span><span> =<span><span><span><span>12<span>x^3</span></span>−<span>7<span>x^2</span></span></span>+<span>14x</span></span>−<span>20</span></span></span>
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3 years ago
Giana lives in Milton. She bought a bus ticket to travel to her cousins house in Orlando. She gets on the bus in Mobile.The dist
anyanavicka [17]
To travel to Orlando is time=300/70=4.29 hours

x=hours traveller
Since there is 30 miles left in trip, the distance already traveled is 300-30=270

Set proportion
300/4.29=270/x
300x=(270)(4.29)
300x=1158.3
300/300x=1158.3/300
x≈3.86 hours ☆☆☆☆☆☆☆SOLUTION
4 0
3 years ago
Geoff has a bag that contains 4 red marbles and 6 blue marbles. He chooses two marbles at random and does not replace them. What
posledela

Total number of marbles = 10

Number of red marbles = 4

Number of blue marbles = 6

Probability = \frac{number of favorable outcomes}{total number of outcomes}

The probability that the first marble is blue = \frac{6}{10}

The probability that the first marble is red = \frac{4}{9} ; 9 because 1 marble has already been taken out.

Joint probability= probability of event A * Probability of event B

= \frac{6}{10}\times\frac{4}{9}=\frac{24}{90}= \frac{4}{15}

3 0
3 years ago
On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar
svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

      \text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}

This statement can be phrase mathematically using the method of ratio and proportion as shown below

                                                    \displaystyle\frac{2}{5} : 1 \ = \ 20:x,

in which the variable x is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

                                                         \displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

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where the variable y denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

                                                                                = 134 passengers

8 0
2 years ago
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