Hong's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs hong $5.75 per pound, and type b coffee costs $4.10 per pound. this month, hong made 170 pounds of the blend, for a total cost of $858.70. how many pounds of type a coffee did he use?

98 pounds

Step-by-step explanation:

Let A be pounds of A-type coffee and B be pounds of B-type coffee.

We can set-up two equations and solve simultaneously.

"This month, Hong made 170 pounds of the blend":

"Type A coffee costs Hong $5.75 per pound, and type B coffee costs $4.10 per pound ... a total cost of $858.70":

Now we can multiply first equation by -5.75 and then ADD UP this new equation and equation 2 to get B. We have:

Now solving for B:

B = 72

Now plugging in this value into B of original first equation and solving for A gives us:

Thus, he used 98 pounds of Coffee A.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

mx+89b(-98)nb

step-by-step explanation: