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;
![b = m + 54](https://tex.z-dn.net/?f=%20b%20%3D%20m%20%2B%2054)
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>
Perimeter of quadrilateral ANCM = AN+NC+CM+MA
CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.
Perimeter (P) = 4x in
Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in
Therefore, P=4*20.5 = 82 in
Answer: 6 m
This statement:
"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:
![18km.\frac{2}{3}=12km](https://tex.z-dn.net/?f=18km.%5Cfrac%7B2%7D%7B3%7D%3D12km)
This means two-thirds of 18 km is equivalent to 12 km
If we substract this value to the total, we have the values of the kilometers left to run:
![18km-12km=6km](https://tex.z-dn.net/?f=18km-12km%3D6km)
Therefore the correct option is D
Answer:
y=9
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
14.2
Step-by-step explanation: