Answer:
1700 books
Step-by-step explanation:
We are given;
- % of non-fiction books in the library as 28%
- Number of fiction books in the library as 1,224 books
We are required to determine the total number of books.
First we determine the percentage of non-fiction books
We need to know that;
% of fiction books + % of non-fiction books = 100%
Therefore;
% of non-fiction books = 100 % - 28 %
= 72%
Second we determine the total number of books
We know that;
Total number of books = 100%
But;
72% = 1,224 books
Therefore;
Total number of books = (1,224 × 100%) ÷ 72%
= 1700 books
Hence, the library has a total number of 1700 books
<span>Simplifying
(5b + -9) + -3(8 + -2b) = 0
Reorder the terms:
(-9 + 5b) + -3(8 + -2b) = 0
Remove parenthesis around (-9 + 5b)
-9 + 5b + -3(8 + -2b) = 0
-9 + 5b + (8 * -3 + -2b * -3) = 0
-9 + 5b + (-24 + 6b) = 0
Reorder the terms:
-9 + -24 + 5b + 6b = 0
Combine like terms: -9 + -24 = -33
-33 + 5b + 6b = 0
Combine like terms: 5b + 6b = 11b
-33 + 11b = 0
Solving
-33 + 11b = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + 11b = 0 + 33
Combine like terms: -33 + 33 = 0
0 + 11b = 0 + 33
11b = 0 + 33
Combine like terms: 0 + 33 = 33
11b = 33</span>
Answer:
7.76 minutes
Step-by-step explanation:
The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.
The first four equations are correct. The remaining 4 equations are incorrect. See the attached screenshot for a detailed breakdown of why the last four equations are incorrect.
