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Shkiper50 [21]
3 years ago
6

There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are lo

aned out. There are now twice as many non-fiction books as fiction books. How many books were in the library? i need an awnser quick ill mark you brainliest if you get it right
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

F = 3N

eq2:

2*(F - 122) = (N - 24)

2F - 244 = N - 24

2F = N + 220

Using the 'F' value from the first equation, we have:

6N = N + 220

5N = 220

N = 44\ books

F = 3N = 132\ books

The total number of books is:

F + N = 132 + 44 = 176\ books

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A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater
BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0
2 years ago
The temperature started at −20 ∘F then rose by 12 ∘F. Write and then evaluate an expression for the current temperature.
Mashcka [7]

Answer:

-32°F

Step-by-step explanation:

current temperature = -20°F-12°F

= - 32°F

I am not sure if its correct

3 0
2 years ago
Read 2 more answers
Drag each tile to the correct box. Not all tiles will be used. Consider function f. f(x)=7x-21 Place the steps for finding in th
dimulka [17.4K]

x=7x-21

Step-by-step explanation:

  • x=7x-21
  • 21=7x-x
  • 21=6x
  • x=21/6
  • x=7/2
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5 0
2 years ago
In order to help decide when and where to advertise, an electronics repair company decided to pull invoices and tally what types
Cerrena [4.2K]

Answer:

Products Repaired                    Frequency

DVD Player                               7

TV                                             3

Radio                                         3

MP3 Player                                5

Blu-ray Player                             7

                                                  Total = 25

Step-by-step explanation:

Frequency distribution table represent the information of a data in a tabular form telling us about the items present in the sample and the number of times it occur.

Each item was picked from the list and written under 'Products repaired' then the number of times each item appeared is the frequency.

5 0
3 years ago
URGENT PLEASE HELP !!!!!
Mumz [18]

Answer:

Let P represent the number of pies sold and J represent the number of juices sold.

a)

The first equation for the sum of the sales:

P + J = 79

P = 79 - J

Next, for the sum of the amounts earned:

1.65P + 1.36J = 118.17

Substituting P,

1.65 (79 - J) + 1.36J = 118.17

J = 42

Using this value of J,

P = 79 - 42

P = 37

b)

Mr. Sanchez's class earned: 1.65 x 37 = $61.05

Mr. Kelly's class earned: 1.36 x 42 = $57.12

So Mr. Sanchez's class earned more money.

c) Mr. Sanchez's class earned:

61.05 - 57.12

= $3.93 more than Mr. Kelly's class

Step-by-step explanation:

:)

4 0
3 years ago
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