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EleoNora [17]
2 years ago
6

The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classr

oom library , how many fiction books are there?
Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer:

<h2>16</h2>

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

<em>Hence there are 16 fiction books on the shelf.</em>

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Y_Kistochka [10]
You can use the Pythagorean theorem to answer this. The diagonal is the hypotenuse of the right triangle that is formed. So, your equation will look like (h is height):
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h^2 = 39^2-34^2
h =  \sqrt{39^2-34^2}

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3 years ago
PLEASE HELP LAST QUESTION
igomit [66]

ANSWER:

a) y = 15x + 75

b) 50 weeks

EXPLANATION:

P A R T   A

2 weeks, 105 dollars --> (2, 105)

5 weeks, 150 dollars --> (5, 150)

<u />

<u>if we use slope intercept form (y=mx+b), we must:</u>

1) find the slope

y2 - y1 -->> 150 - 105 = 45

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45/3 = 15

2) find the y intercept

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--------------------------------------------------------------------------------------------

P A R T   B

y = 15x + 75 (substitute the y with 825 because that is the goal)

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2 years ago
Cosx+1/sin^3x=cscx/1-cosx
ANTONII [103]
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).

 </span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
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 </span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
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8 0
3 years ago
Enter the value if x+27
Sonja [21]

Answer:

Shown Below

Step-by-step explanation:

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180 - 67 = 113.

Inside angles of a triangle all add up to 180. Using that we can create the equation:

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simplify.

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subtract 140 on both sides.

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