Answer:
?=25
Step-by-step explanation:
15/x=21/x+10
Cross Multiply
15X+150=21X
SUBTRACT 15 X ON BOTH SIDES.
150=6x
DIVIDE 6 IN BOTH SIDES.
x=25
A) The revenue = Price (p) * Quantity sold (x)
From the inequality p = 1, 2, 3 ...18
The revenue as a function of quantity sold = R(x)
But R = p * x = px
And x = -8p + 144.
Hence we have R(x) = p( -8p + 144) = - 8p^2 + 144p where p lies between 1 and 18.
B) If the quantity sold, x, is 88 then 88 = -8p + 144; -8p = 88 - 144. We have that p = 7
Then it follows that revenue = 7 * 88 = 616
C) Since R (x) = - 8p^2 + 144p Then dr/dx = -16x + 144. Then we set dr/dx
= 0. So x = 144/ 16 = 9
Then we use x to calculate p as follows. 9 = -8p + 144. Hence p = 135/8 = 16.875
At maximum revenue we have R(x) = - 8(16.875)^2 + 144(16.875) = -2278.56 + 2345.56 = $66.48
D) From C) The company should charge 16.875.
If R = 520. Then 520 = -8p^2 + 144p
So -8p^2 + 144p - 520 = 0
From the quadratic equation our equation becomes x1 = 13 and x2 = 5. We simply substitute
-8(13)^2 + 144(13) - 520 = 0. Hence our answer is 13
Answer:
AI=3.25 IH= 4.2
Step-by-step explanation
The distance between C and D is 1.3 inches, the distance between E and F is 0.75 inches and the distance between G and H is 1.2 inches. This is true because the model says so. If you look closely together, this is equal to the distance between AI which is the length of AI. The answer would be 1.2+1.3+0.75=3.25. To find the length of side IH you do the same strategy, the distance between sides D and E is 4.8 inches, at the bottom is 9 inches of distance between side I and side F. 9-4.8 inches is equal to 4.2 inches. Therefore, the length of side AI is 3.25 inches and the length of side IH is 4.2 inches. If I am wrong please tell me for feedback, I also hoped that this has helped you in your learning :)
Answer:
B. 34%.
Step-by-step explanation:
94 - 78 = 16 which is 2 times the standard deviation from the mean.
For a normal distribution this is 34% of the total students.
Answer:
Step-by-step explanation:
The average speed of the flights mph was 700 because if you divide 2100/3 you get 700