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IgorLugansk [536]
3 years ago
10

An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc

hes, of the aquarium, in terms of n ?
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

The formula of a volume of a rectangle prism:

V=lwh

l - length

w - width

h - height

We have

l=n^2+2;\ w = 10,\ h=n+5

Substitute:

V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
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What fraction is equivalent to eight tentHs
aleksklad [387]
8/10 is equivalent to 4/5. just divide both 8 and 10 by 2
3 0
2 years ago
The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?
liubo4ka [24]

Answer:

36 boys

Step-by-step explanation:

                                                            3

Please write the ratio as 3:5 or as  --------

                                                             5

Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.  

How many are in the club altogether?  Let this count be represented by c.  Then (5/8)c = 60.

Multiplying both sides of this equation by (8/5), to isolate c, we get:

c = (8/5)(60) = 96.  Thus, there are 96 Science students altogether.

3/8 of this number are boys.  This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

 3          b

------ = ------- , where b represents the number of boys.

  5        60

Then 5b = 180.  Dividing both sides by 5, we get b = 180/5 = 36 boys

3 0
3 years ago
Which data set could be represented by the box plot shown below?
Fudgin [204]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

<u>Interpreting Box Plots</u>

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

  • Minimum Value
  • First Quartile, Q_1
  • Median, Q_2
  • Third Quartile, Q_3
  • Maximum Value

In the box plot, the following rules applies

  • The whisker starts from the minimum value and ends at the first quartile.
  • The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
  • The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

  • Minimum Value=1
  • First Quartile =6

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

  • Median=12
  • Thrid Quartile=16

The right whisker extends from 16 to 19.

  • Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

6 0
3 years ago
Round 4,398,202 to the nearest 100
Klio2033 [76]
In the hundreds spot is a 2 and 2 is under 5 so we round down which would be 4 398 200
5 0
3 years ago
Read 2 more answers
Which of the following rational numbers is equal to 4 point 7 with bar over 7 ? (5 points) 43 over 9 , 49 over 9 , 35 over 9 , 3
jenyasd209 [6]

Answer:

43 over 9 is the fraction you are looking for.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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