Quantity eq.: d = n+9
quantity eq.: q = d+21
value equation: 5n + 10d + 25q = 1000

rearrange:
d = n+9
q = d+21 = n+9 + 21 = n+30
substitute to get:
5n + 10(n+9) + 25(n+30) = 1000
40n + 840 = 1000
does this look correct?
40n = 160
n = 4 (# of nickels)
d = 4+9 = 13 (# of dimes)
q = 4 + 30 = 34 (# of quarters)

Ms. sutton recorded the word counts and scores of the top ten essays in a timed writing contest. the table shows her data. how does the word count of an essay relate to its score in the contest? word count tends to decrease as the score decreases. word count tends to increase as the score decreases. word count tends to remain constant as the score decreases. word count has no apparent relationship to the score of the essay.

The radius of the circle is 4 cm and the measure of the central angle is 90° the area of the sector with a central angle measuring 90° and radius of length 4 cm is vt cm the triangle in the sector is 4 cm the area of the triangle is v/cm² the area of the segment of the circle is (471 - ) cm?

What is the solution to the equation e3x=12? round your answer to the nearest hundredth