Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Answer:
The equation would be 2,250 - 120<em>m</em>
Answer:
Assuming you want to simplify the expression, it can be shortened to:
-k² - 2k
Step-by-step explanation:
What you need to do here is called grouping like terms. Like terms can be described as terms that have the same factors. In this case, the factors we're looking at are k and k²:
Given:
k - 3k² -3k + 2k²
We'll rearrange to group like expressions:
= -3k² + 2k² + k -3k
Pull out common factors:
= (-3 + 2)k² + (1 - 3)k
And simplify:
= -k² - 2k
Answer:
The correct option is;
comparing plant survivorship in areas where hikers stay on the trail with plants where hikers leave the trail
Step-by-step explanation:
The hypothesis that the area formerly covered by known plants which is now bare soil due to trampling in the alpine areas by hikers can be tested by means of comparing the areas where during the cause of their visit, the hikers remain on the trail as they move within the park to other portion of the park where it is known that there are either very few or no hiker remain on the trail. The outcome will determine if the cause of the appearance of bare soil is due to the transit and trampling by hikers.
