Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x<span>≤240</span>
Since
represents the number of years passed since 2005, in 2005 we have
, and in 2015 we have
. Let
represent the profits of Jones and Davis, respectively, at year y.
We have


Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor
goes to zero as t grows.
On the other hand, Davis starts with a smaller value, but
tends to infinity as t grows.
So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.
More precisely, we have

So, after 11 years, Davis will overcome Jones.
Answer: 2 1/4
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Answer:
Q = 132
P = 48
Step-by-step explanation:
Angles R + S = 180, which means
(5x + 3) + (14x + 6) = 180
19x + 9 = 180
19x = 171
x = 9
so
R = 5x + 3 = 5(9) + 3 = 48
S = 14x + 6 = 14(9) + 6 = 132
Q = 180 - R = 180 - 48 = 132
P = 180 - Q = 180 - 132 = 48