Answer:
102 or the 12th number considering 38 is the 4th
Answer:
329 degrees F
Step-by-step explanation:
If you plug in your known variables into the calculator, you would get the answer 329 for <em>F</em>. You plug in 165 as <em>C </em>in the equation to find your answer.
Answer:
G- 1/5
Step-by-step explanation:
When doing probability questions, you want to take the amount of what you are looking for and put it over the total. In this case, the total amount of t-shirts would be 15. If we are looking for the sports t-shirts, the fraction would be 3/15, which then simplifies down to 1/5.
Hope this helps! :)
Answer:
<u>The runner in first place is 16 meters ahead of the runner in last place</u>
Step-by-step explanation:
There are 4 boys racing - Pete, Nick, Manny, and Oliver.
Pete is 11 meters ahead of Nick, Oliver is 10 meters ahead of Manny, and Oliver is ahead of Pete by 5 meters.
This means Oliver is ahead of the other three racers, putting him in first place, and Manny is between Nick and Pete.
So in order to find out the distance between the racer in first place (Oliver) and the racer in last place (Nick), add the distance between Oliver and Pete and the distance between Pete and Nick.
Add the distances: <u>5 + 11</u>
<u>Therefore, the runner in first place (Oliver) is 16 meters ahead of the runner in last place (Nick).</u>
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
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Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
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In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
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Final Answer: 39