Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Since we don't know the length of the trip, we can't find an exact answer.
However, we can write an expression for it. First, we let, T, represent the total number of miles for the trip.
Now, just divide T by 33. So our expression is T/33.
If you know the total miles of the trip, just divide it by 33 and you will have the answer.
Answer:
The correct answer is b. 116,900
The publishing company must sell 116,900 copies of the book to break even.
Step-by-step explanation:
Each book costs 0.55 to make and the company can sell it at 6.75, which means that the company earns 6.20 from each book, this is called the net value. If you divide the amount htat the company paid for the rights by the net value you can find the total number of copies that the company has to sell to break even.
# books = $725,000/$6.20 = 116935 or approximately 116900 copies of the book.
