Answer:
- $5000 in the first city
- $4000 in the second city
Step-by-step explanation:
Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...
... 7.5%·x +5%·(x -1000) = 575
... 12.5%·x = 625 . . . . simplify, add 50
... x = 5000 . . . . . . . . divide by 12.5% (=0.125)
The first-city charge was $5000; the second-city charge was $4000.
<span>Calculating the number of kg of each ingredient required per batch is nothing more than multiplying the number of kg per bag times 250. But the information given is woefully inadequate for answering the second part of the question. All you know is the cost of the ingredients and nothing about the fixed costs of running the factory, nor the company's G&A, nor the desired profit margin. If they sell just for the cost of the ingredients, they would go broke in a month.
</span><span>John
e^i^pie + 1 = 0</span>
The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
Answer: The correct option is A.
Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.
We are given the resultant polynomial which is : 
One of the polynomial which are added up is : 
Let the other polynomial be 'x'
According to the question:
Solving the like terms in above equation we get:
Hence, the correct option is A.
The constraints for the problem is the number of tomatoes and cups of oil on hand.
There are only 45 tomatoes and 10 cups of oil on hand to make both the Tuscan sauce and Marinara sauce.
These are identified as constraints because they limit the number of Tuscan sauce and Marinara sauce that Tiffany can make.
