First, u have to find x so u set up this equation:
2x+2+3x+6=48
Then solve to get:
5x+8 = 48
5x=40
X=8
Then, u substitute 8 in the expression 3x+6:
3(8) +6
Ur final answer is 30.
The ratio of number of fiction books to total number of books that she read 12:13.
Given :
Emily reads 24 friction books and 2 nonfiction books.
Number of fiction books she read =24
Number of nofiction boos she read = 2
Total number of books = 26
To Find :
What is the ratio of the number of fiction books she read to the total number of books that she read ?
Solution :
Total number of books that she read=24+2=26
number of fiction books she read=24
Thus ratio of number of fiction books to total number of books that she read
⇒ 
⇒ 
⇒ 12: 13
Hence ratio of number of fiction books to total number of books that she read 12 : 13
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"log" standing alone actually means "logarithm to the base 10."
Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10
105 m = 2.5 h
x miles = 1 hour
You cross multiply since it's a proportion:
2.5 * x
105 * 1
=
2.5x = 105
Then you divide everything by 2.5
The answer is 42
The given matrix equation is,
.
Multiplying the matrices with the scalars, the given equation becomes,
![\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1.5x%269%5C%5C12%266%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dy%264y%5C%5C3y%262y%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dz%26z%5C%5C6z%262%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20%20)
Adding the matrices,
![\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1.5x%2By%269%2B4y%5C%5C12%2B3y%266%2B2y%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dz%26z%5C%5C6z%262%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20)
Matrix equality gives,

Solving the equations together,

We can see that the equations are not consistent.
There is no solution.