Astore is selling two mixtures of coffee beans in one-pound bags. the first mixture has 12 ounces of sumatra combined with 4 ounces of celebes kalossi, and costs $15. the second mixture has 4 ounces of sumatra and 12 ounces of celebes kalossi, and costs $21. how much does one ounce of sumatra and one ounce of celebes kalossi cost?

y=2.75

step-by-step explanation:

we let x as the cost of one ounce of sumatra and y as the cost of one ounce of celebes kalossi. for mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40

first, multiply eq. 1 by 4

4(12x + 4y = 32)4         ⇒     36x + 12y = 96

we now have 

(36x + 12y = 96) – (4x + 12y = 40)

x = 1.75     ⇒ cost of one ounce of sumatra 

substitute x to either equation to get the value of y

12(1.75) + 4y = 324

y = 32-21

4y = 11

y = 2.75     ⇒ cost of one ounce of celebes kalossi

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p