Answer:
108 books.
Step-by-step explanation:
Let the number of magazines = m
Let the number of books = b
<u>Given the following data;</u>
Total number of m & b = 162
<em>Translating the word problem into an algebraic equation, we have;</em>
......equation 1
......equation 2
<em>Substituting equation "1" into equation "2" we have;</em>
m = 54
Now to find the number of books;
Substituting the value of "m" into the equation, we have;
<em>b = 108</em>
<em>Therefore, the total number of books in the library is 108 books. </em>
Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution
GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.
We need to determine which expressions are equal
Option 1: GIF 4.9 and LIF 3.1
GIF 4.9 = 3
LIF 3.1 = 4
Hence GIF 4.9 ≠ LIF 3.1
Option 2: GIF 15.2 and GIF 14.8
GIF 15.2 = 15
GIF 14.8 = 14
Hence, GIF 15.2 ≠ GIF 14.8
Option 3: GIF -6 and LIF -6
GIF -6 = -6
LIF -6 = -6
Hence, GIF -6 = LIF -6
Option 4: LIF -3.2 and LIF -2.6
LIF -3.2 = -2
LIF -2.6 = -1
Hence, LIF -3.2 ≠ LIF -2.6
Hence, only in Option C the pair of expressions are equal.
Answer:
bottom: 12 x 12 = 144
1st triangle: (12 x 8)/2 = 48
2nd triangle: 48
3rd triangle: 48
4th triangle: 48
144 + 48 + 48 + 48 + 48 = <u>336 cm squared</u>
C. Because it equals to the degrees to the 3.7 radians
Answer:
1.56%
Step-by-step explanation:
A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.
