A 1 = 57, a 2 = 61, a 3 = 65 ( arithmetic sequence )
a n = a 1 + ( n - 1 ) d
a 2 = a 1 + d
61 = 57 + d
d = 61 - 57
d = 4
a 9 = 57 + 8 * 4 = 57 + 36 = 93
Answer: Her score on the 9th assessment will be 93 points.
<span>The equation that shows the cost of a mix of Arabica and Robusta beans is: 700 A + 1,200 R = 1,000,000. We know that a mixture contains 1,000 pounds of Arabica beans ( A = 1,000 ). So: 700 * 1,000 + 1,200 R= 1,000,000; 700,000 + 1,200 R = 1,000,000 ; 1,200 R = 1,000,000 - 700,000 ; 1,200 R = 300,000 ; R = 300,000 : 1,200 ; R = 250. Answer: There should be: R = 250 pounds.</span>