Part A
.. (480 books)/(5 cartons) = 480/5 books/carton = 96 books/carton
Part B
.. (7440 dollars)/(480 books) = 7440/480 dollars/book = $15.50 for 1 book
Part C
.. (2 minutes)/(48 books) * (200 books) = 400/48 minutes
.. = 8 minutes 20 seconds
Part D
In 9 minutes, the worker unpacked
.. (48 books)/(2 minutes)*(9 minutes) = 216 books
In 9 minutes, the manager upacked
.. (54 books)/(3 minutes)*(9 minutes) = 162 books
We note that 216 -162 = 54.
The worker unpacked 54 more books in 9 minutes than the manager did.
It equals zero negative plus positive equals zero
Answer:
It would look like the picture I attached at the bottom.
Step-by-step explanation:
We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.
It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.
Since it is less than, we can shade all the values below the graph.
(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).
Desmos is a great website to use if you're having trouble graphing in the future :)
2 (n+1) + n² + 4 (n-3)
= 2n + 2 + n² + 4n - 12 ...expand by using distributive property
= n² + 6n - 10 ...combine like terms
hope it helps